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2025/O Estadística (CBET01/V-IEI-N5-P1-C2/V Santiago Centro IEI)

Шукаєте відповіді та рішення тестів для 2025/O Estadística (CBET01/V-IEI-N5-P1-C2/V Santiago Centro IEI)? Перегляньте нашу велику колекцію перевірених відповідей для 2025/O Estadística (CBET01/V-IEI-N5-P1-C2/V Santiago Centro IEI) в lms.inacap.cl.

Отримайте миттєвий доступ до точних відповідей та детальних пояснень для питань вашого курсу. Наша платформа, створена спільнотою, допомагає студентам досягати успіху!

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b=a.Event("show.bs."+this.type);if(this.hasContent()&&this.enabled){this.$element.trigger(b);var d=a.contains(this.$element[0].ownerDocument.documentElement,this.$element[0]);if(b.isDefaultPrevented()||!d)return;var e=this,f=this.tip(),g=this.getUID(this.type);this.setContent(),f.attr("id",g),this.$element.attr("aria-describedby",g),this.options.animation&&f.addClass("fade");var h="function"==typeof this.options.placement?this.options.placement.call(this,f[0],this.$element[0]):this.options.placement,i=/\s?auto?\s?/i,j=i.test(h);j&&(h=h.replace(i,"")||"top"),f.detach().css({top:0,left:0,display:"block"}).addClass(h).data("bs."+this.type,this),this.options.container?f.appendTo(this.options.container):f.insertAfter(this.$element),this.$element.trigger("inserted.bs."+this.type);var k=this.getPosition(),l=f[0].offsetWidth,m=f[0].offsetHeight;if(j){var n=h,o=this.getPosition(this.$viewport);h="bottom"==h&&k.bottom+m>o.bottom?"top":"top"==h&&k.top-m<o.top?"bottom":"right"==h&&k.right+l>o.width?"left":"left"==h&&k.left-l<o.left?"right":h,f.removeClass(n).addClass(h)}var p=this.getCalculatedOffset(h,k,l,m);this.applyPlacement(p,h);var q=function(){var a=e.hoverState;e.$element.trigger("shown.bs."+e.type),e.hoverState=null,"out"==a&&e.leave(e)};a.support.transition&&this.$tip.hasClass("fade")?f.one("bsTransitionEnd",q).emulateTransitionEnd(c.TRANSITION_DURATION):q()}},c.prototype.applyPlacement=function(b,c){var d=this.tip(),e=d[0].offsetWidth,f=d[0].offsetHeight,g=parseInt(d.css("margin-top"),10),h=parseInt(d.css("margin-left"),10);isNaN(g)&&(g=0),isNaN(h)&&(h=0),b.top+=g,b.left+=h,a.offset.setOffset(d[0],a.extend({using:function(a){d.css({top:Math.round(a.top),left:Math.round(a.left)})}},b),0),d.addClass("in");var i=d[0].offsetWidth,j=d[0].offsetHeight;"top"==c&&j!=f&&(b.top=b.top+f-j);var 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e={top:0,left:0};if(!this.$viewport)return e;var f=this.options.viewport&&this.options.viewport.padding||0,g=this.getPosition(this.$viewport);if(/right|left/.test(a)){var h=b.top-f-g.scroll,i=b.top+f-g.scroll+d;h<g.top?e.top=g.top-h:i>g.top+g.height&&(e.top=g.top+g.height-i)}else{var j=b.left-f,k=b.left+f+c;j<g.left?e.left=g.left-j:k>g.right&&(e.left=g.left+g.width-k)}return e},c.prototype.getTitle=function(){var a,b=this.$element,c=this.options;return a=b.attr("data-original-title")||("function"==typeof c.title?c.title.call(b[0]):c.title)},c.prototype.getUID=function(a){do a+=~~(1e6*Math.random());while(document.getElementById(a));return a},c.prototype.tip=function(){if(!this.$tip&&(this.$tip=a(this.options.template),1!=this.$tip.length))throw new Error(this.type+" `template` option must consist of exactly 1 top-level element!");return this.$tip},c.prototype.arrow=function(){return this.$arrow=this.$arrow||this.tip().find(".tooltip-arrow")},c.prototype.enable=function(){this.enabled=!0},c.prototype.disable=function(){this.enabled=!1},c.prototype.toggleEnabled=function(){this.enabled=!this.enabled},c.prototype.toggle=function(b){var c=this;b&&(c=a(b.currentTarget).data("bs."+this.type),c||(c=new this.constructor(b.currentTarget,this.getDelegateOptions()),a(b.currentTarget).data("bs."+this.type,c))),b?(c.inState.click=!c.inState.click,c.isInStateTrue()?c.enter(c):c.leave(c)):c.tip().hasClass("in")?c.leave(c):c.enter(c)},c.prototype.destroy=function(){var a=this;clearTimeout(this.timeout),this.hide(function(){a.$element.off("."+a.type).removeData("bs."+a.type),a.$tip&&a.$tip.detach(),a.$tip=null,a.$arrow=null,a.$viewport=null,a.$element=null})};var d=a.fn.tooltip;a.fn.tooltip=b,a.fn.tooltip.Constructor=c,a.fn.tooltip.noConflict=function(){return a.fn.tooltip=d,this}}(jQuery),+function(a){"use strict";function b(b){return this.each(function(){var 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in"),a.find(".popover-title").html()||a.find(".popover-title").hide()},c.prototype.hasContent=function(){return this.getTitle()||this.getContent()},c.prototype.getContent=function(){var a=this.$element,b=this.options;return a.attr("data-content")||("function"==typeof b.content?b.content.call(a[0]):b.content)},c.prototype.arrow=function(){return this.$arrow=this.$arrow||this.tip().find(".arrow")};var d=a.fn.popover;a.fn.popover=b,a.fn.popover.Constructor=c,a.fn.popover.noConflict=function(){return a.fn.popover=d,this}}(jQuery),+function(a){"use strict";function b(c,d){this.$body=a(document.body),this.$scrollElement=a(a(c).is(document.body)?window:c),this.options=a.extend({},b.DEFAULTS,d),this.selector=(this.options.target||"")+" .nav li > a",this.offsets=[],this.targets=[],this.activeTarget=null,this.scrollHeight=0,this.$scrollElement.on("scroll.bs.scrollspy",a.proxy(this.process,this)),this.refresh(),this.process()}function c(c){return this.each(function(){var 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a,b=this.$scrollElement.scrollTop()+this.options.offset,c=this.getScrollHeight(),d=this.options.offset+c-this.$scrollElement.height(),e=this.offsets,f=this.targets,g=this.activeTarget;if(this.scrollHeight!=c&&this.refresh(),b>=d)return g!=(a=f[f.length-1])&&this.activate(a);if(g&&b<e[0])return this.activeTarget=null,this.clear();for(a=e.length;a--;)g!=f[a]&&b>=e[a]&&(void 0===e[a+1]||b<e[a+1])&&this.activate(f[a])},b.prototype.activate=function(b){

this.activeTarget=b,this.clear();var c=this.selector+'[data-target="'+b+'"],'+this.selector+'[href="'+b+'"]',d=a(c).parents("li").addClass("active");d.parent(".dropdown-menu").length&&(d=d.closest("li.dropdown").addClass("active")),d.trigger("activate.bs.scrollspy")},b.prototype.clear=function(){a(this.selector).parentsUntil(this.options.target,".active").removeClass("active")};var d=a.fn.scrollspy;a.fn.scrollspy=c,a.fn.scrollspy.Constructor=b,a.fn.scrollspy.noConflict=function(){return a.fn.scrollspy=d,this},a(window).on("load.bs.scrollspy.data-api",function(){a('[data-spy="scroll"]').each(function(){var b=a(this);c.call(b,b.data())})})}(jQuery),+function(a){"use strict";function b(b){return this.each(function(){var d=a(this),e=d.data("bs.tab");e||d.data("bs.tab",e=new c(this)),"string"==typeof b&&e[b]()})}var c=function(b){this.element=a(b)};c.VERSION="3.3.7",c.TRANSITION_DURATION=150,c.prototype.show=function(){var b=this.element,c=b.closest("ul:not(.dropdown-menu)"),d=b.data("target");if(d||(d=b.attr("href"),d=d&&d.replace(/.*(?=#[^\s]*$)/,"")),!b.parent("li").hasClass("active")){var e=c.find(".active:last a"),f=a.Event("hide.bs.tab",{relatedTarget:b[0]}),g=a.Event("show.bs.tab",{relatedTarget:e[0]});if(e.trigger(f),b.trigger(g),!g.isDefaultPrevented()&&!f.isDefaultPrevented()){var h=a(d);this.activate(b.closest("li"),c),this.activate(h,h.parent(),function(){e.trigger({type:"hidden.bs.tab",relatedTarget:b[0]}),b.trigger({type:"shown.bs.tab",relatedTarget:e[0]})})}}},c.prototype.activate=function(b,d,e){function f(){g.removeClass("active").find("> .dropdown-menu > .active").removeClass("active").end().find('[data-toggle="tab"]').attr("aria-expanded",!1),b.addClass("active").find('[data-toggle="tab"]').attr("aria-expanded",!0),h?(b[0].offsetWidth,b.addClass("in")):b.removeClass("fade"),b.parent(".dropdown-menu").length&&b.closest("li.dropdown").addClass("active").end().find('[data-toggle="tab"]').attr("aria-expanded",!0),e&&e()}var g=d.find("> .active"),h=e&&a.support.transition&&(g.length&&g.hasClass("fade")||!!d.find("> .fade").length);g.length&&h?g.one("bsTransitionEnd",f).emulateTransitionEnd(c.TRANSITION_DURATION):f(),g.removeClass("in")};var d=a.fn.tab;a.fn.tab=b,a.fn.tab.Constructor=c,a.fn.tab.noConflict=function(){return a.fn.tab=d,this};var e=function(c){c.preventDefault(),b.call(a(this),"show")};a(document).on("click.bs.tab.data-api",'[data-toggle="tab"]',e).on("click.bs.tab.data-api",'[data-toggle="pill"]',e)}(jQuery),+function(a){"use strict";function b(b){return this.each(function(){var d=a(this),e=d.data("bs.affix"),f="object"==typeof b&&b;e||d.data("bs.affix",e=new c(this,f)),"string"==typeof b&&e[b]()})}var c=function(b,d){this.options=a.extend({},c.DEFAULTS,d),this.$target=a(this.options.target).on("scroll.bs.affix.data-api",a.proxy(this.checkPosition,this)).on("click.bs.affix.data-api",a.proxy(this.checkPositionWithEventLoop,this)),this.$element=a(b),this.affixed=null,this.unpin=null,this.pinnedOffset=null,this.checkPosition()};c.VERSION="3.3.7",c.RESET="affix affix-top affix-bottom",c.DEFAULTS={offset:0,target:window},c.prototype.getState=function(a,b,c,d){var e=this.$target.scrollTop(),f=this.$element.offset(),g=this.$target.height();if(null!=c&&"top"==this.affixed)return e<c&&"top";if("bottom"==this.affixed)return null!=c?!(e+this.unpin<=f.top)&&"bottom":!(e+g<=a-d)&&"bottom";var h=null==this.affixed,i=h?e:f.top,j=h?g:b;return null!=c&&e<=c?"top":null!=d&&i+j>=a-d&&"bottom"},c.prototype.getPinnedOffset=function(){if(this.pinnedOffset)return this.pinnedOffset;this.$element.removeClass(c.RESET).addClass("affix");var a=this.$target.scrollTop(),b=this.$element.offset();return this.pinnedOffset=b.top-a},c.prototype.checkPositionWithEventLoop=function(){setTimeout(a.proxy(this.checkPosition,this),1)},c.prototype.checkPosition=function(){if(this.$element.is(":visible")){var b=this.$element.height(),d=this.options.offset,e=d.top,f=d.bottom,g=Math.max(a(document).height(),a(document.body).height());"object"!=typeof d&&(f=e=d),"function"==typeof e&&(e=d.top(this.$element)),"function"==typeof f&&(f=d.bottom(this.$element));var h=this.getState(g,b,e,f);if(this.affixed!=h){null!=this.unpin&&this.$element.css("top","");var i="affix"+(h?"-"+h:""),j=a.Event(i+".bs.affix");if(this.$element.trigger(j),j.isDefaultPrevented())return;this.affixed=h,this.unpin="bottom"==h?this.getPinnedOffset():null,this.$element.removeClass(c.RESET).addClass(i).trigger(i.replace("affix","affixed")+".bs.affix")}"bottom"==h&&this.$element.offset({top:g-b-f})}};var d=a.fn.affix;a.fn.affix=b,a.fn.affix.Constructor=c,a.fn.affix.noConflict=function(){return a.fn.affix=d,this},a(window).on("load",function(){a('[data-spy="affix"]').each(function(){var c=a(this),d=c.data();d.offset=d.offset||{},null!=d.offsetBottom&&(d.offset.bottom=d.offsetBottom),null!=d.offsetTop&&(d.offset.top=d.offsetTop),b.call(c,d)})})}(jQuery);

/**

* jQuery Plugin: Sticky Tabs

*

* @author Aidan Lister <aidan@php.net>

* adapted by Ruben Arslan to activate parent tabs too

* http://www.aidanlister.com/2014/03/persisting-the-tab-state-in-bootstrap/

*/

(function($) {

"use strict";

$.fn.rmarkdownStickyTabs = function() {

var context = this;

// Show the tab corresponding with the hash in the URL, or the first tab

var showStuffFromHash = function() {

var hash = window.location.hash;

var selector = hash ? 'a[href="' + hash + '"]' : 'li.active > a';

var $selector = $(selector, context);

if($selector.data('toggle') === "tab") {

$selector.tab('show');

// walk up the ancestors of this element, show any hidden tabs

$selector.parents('.section.tabset').each(function(i, elm) {

var link = $('a[href="#' + $(elm).attr('id') + '"]');

if(link.data('toggle') === "tab") {

link.tab("show");

}

});

}

};

// Set the correct tab when the page loads

showStuffFromHash(context);

// Set the correct tab when a user uses their back/forward button

$(window).on('hashchange', function() {

showStuffFromHash(context);

});

// Change the URL when tabs are clicked

$('a', context).on('click', function(e) {

history.pushState(null, null, this.href);

showStuffFromHash(context);

});

return this;

};

}(jQuery));

window.buildTabsets = function(tocID) {

// build a tabset from a section div with the .tabset class

function buildTabset(tabset) {

// check for fade and pills options

var fade = tabset.hasClass("tabset-fade");

var pills = tabset.hasClass("tabset-pills");

var navClass = pills ? "nav-pills" : "nav-tabs";

// determine the heading level of the tabset and tabs

var match = tabset.attr('class').match(/level(\d) /);

if (match === null)

return;

var tabsetLevel = Number(match[1]);

var tabLevel = tabsetLevel + 1;

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var tabs = tabset.find("div.section.level" + tabLevel);

if (!tabs.length)

return;

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$(tabs[0]).before(tabList);

var tabContent = $('<div class="tab-content"></div>');

$(tabs[0]).before(tabContent);

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var activeTab = 0;

tabs.each(function(i) {

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var tab = $(tabs[i]);

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var id = tab.attr('id');

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if (tab.hasClass('active'))

activeTab = i;

// remove any table of contents entries associated with

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$("div#" + tocID + " li a[href='#" + id + "']").parent().remove();

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id = id.replace(/[.\/?&!#<>]/g, '').replace(/\s/g, '_');

tab.attr('id', id);

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var headingText = heading.html();

heading.remove();

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tabList.append(li);

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$('body .section.level1').each(function () {

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$(this).attr("id", $(this).attr("id").replace(/\./g, "-"));

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$('#toc ul li a').each(function () {

$(this).attr("href", $(this).attr("href").replace(/\./g, "-"));

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$(document).ready(function () {

$('.tabset-dropdown > .nav-tabs > li').click(function () {

$(this).parent().toggleClass('nav-tabs-open')

});

});

Estadística descriptiva (Cálculos

estadísticos) (30 puntos)

En un estudio realizado por un instituto de educación superior de

arte y diseño, se aplicaron evaluaciones diagnósticas de Lenguaje,

Matemáticas e Inglés a los nuevos alumnos ingresados antes del comienzo

de clases. Previamente, se les invitó a participar en cursos en línea

durante el verano para nivelar ciertos contenidos básicos. Los

resultados de estas evaluaciones se encuentran en el archivo

StudentPerformance.xlsx

, el cual contiene las

siguientes variables:

  • SEXO: Femenino o masculino.
  • Comuna: Comuna en donde viven.
  • Nivel Socioeconómico: Si pertenecen, según la información de la

    familia, a grupo AB, C1a, C1b, C2 o C3.

  • Curso de Preparación: El estado de los cursos de verano. (Terminado,

    incompleto o ninguno).

  • Puntaje Matemática: Puntaje obtenido en la evaluación de Matemática

    (escala de 0 a 90).

  • Puntaje Lenguaje: Puntaje obtenido en la evaluación de Lenguaje

    (escala de 0 a 90).

  • Puntaje Inglés: Puntaje obtenido en la evaluación de Inglés (escala

    de 0 a 90).

Debe ingresar a la FORMA 6

, para realizar las

actividades correspondientes y responder a las siguientes preguntas:

a) ¿Cuánto es el puntaje medio de la evaluación de

Matemática? Trabajar con 1 decimal.

El puntaje medio es

Puntaje: 3 puntos

b) ¿Cuánto es la desviación estándar poblacional de la

evaluación de Matemática? Trabajar con 1 decimal.

La desviación estándar poblacional es

Puntaje: 3 puntos

c) ¿Cuánto es el coeficiente de variación de la evaluación de

Matemática? Trabajar con 2 decimales.

El coeficiente de variación es

%

Puntaje: 4 puntos

d) ¿Cuánto es el puntaje medio de la evaluación de Inglés del

sexo femenino? Trabajar con 1 decimal.

El puntaje medio es

Puntaje: 3 puntos

e) ¿Cuánto es la desviación estándar poblacional de la

evaluación de Inglés del sexo femenino? Trabajar con 1

decimal.

La desviación estándar poblacional es

Puntaje: 3 puntos

f) ¿Cuánto es el coeficiente de variación de la evaluación de

Inglés del sexo femenino? Trabajar con 2 decimales.

El coeficiente de variación es

%

Puntaje: 4 puntos

g) ¿Cuánto es el puntaje medio de la evaluación de Lenguaje

del sexo masculino? Trabajar con 1 decimal.

El puntaje medio es

Puntaje: 3 puntos

h) ¿Cuánto es la desviación estándar poblacional de la

evaluación de Lenguaje del sexo masculino? Trabajar con 1

decimal.

La desviación estándar poblacional es

Puntaje: 3 puntos

i) ¿Cuánto es el coeficiente de variación de la evaluación de

Lenguaje del sexo masculino? Trabajar con 2 decimales.

El coeficiente de variación es

%

Puntaje: 4 puntos

$(document).ready(function () {

});

(function () {

var script = document.createElement("script");

script.type = "text/javascript";

script.src = "https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";

document.getElementsByTagName("head")[0].appendChild(script);

})();

Переглянути це питання

// Pandoc 2.9 adds attributes on both header and div. We remove the former (to

// be compatible with the behavior of Pandoc < 2.8).

document.addEventListener('DOMContentLoaded', function(e) {

var hs = document.querySelectorAll("div.section[class*='level'] > :first-child");

var i, h, a;

for (i = 0; i < hs.length; i++) {

h = hs[i];

if (!/^h[1-6]$/i.test(h.tagName)) continue; // it should be a header h1-h6

a = h.attributes;

while (a.length > 0) h.removeAttribute(a[0].name);

}

});

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/**

* jQuery Plugin: Sticky Tabs

*

* @author Aidan Lister <aidan@php.net>

* adapted by Ruben Arslan to activate parent tabs too

* http://www.aidanlister.com/2014/03/persisting-the-tab-state-in-bootstrap/

*/

(function($) {

"use strict";

$.fn.rmarkdownStickyTabs = function() {

var context = this;

// Show the tab corresponding with the hash in the URL, or the first tab

var showStuffFromHash = function() {

var hash = window.location.hash;

var selector = hash ? 'a[href="' + hash + '"]' : 'li.active > a';

var $selector = $(selector, context);

if($selector.data('toggle') === "tab") {

$selector.tab('show');

// walk up the ancestors of this element, show any hidden tabs

$selector.parents('.section.tabset').each(function(i, elm) {

var link = $('a[href="#' + $(elm).attr('id') + '"]');

if(link.data('toggle') === "tab") {

link.tab("show");

}

});

}

};

// Set the correct tab when the page loads

showStuffFromHash(context);

// Set the correct tab when a user uses their back/forward button

$(window).on('hashchange', function() {

showStuffFromHash(context);

});

// Change the URL when tabs are clicked

$('a', context).on('click', function(e) {

history.pushState(null, null, this.href);

showStuffFromHash(context);

});

return this;

};

}(jQuery));

window.buildTabsets = function(tocID) {

// build a tabset from a section div with the .tabset class

function buildTabset(tabset) {

// check for fade and pills options

var fade = tabset.hasClass("tabset-fade");

var pills = tabset.hasClass("tabset-pills");

var navClass = pills ? "nav-pills" : "nav-tabs";

// determine the heading level of the tabset and tabs

var match = tabset.attr('class').match(/level(\d) /);

if (match === null)

return;

var tabsetLevel = Number(match[1]);

var tabLevel = tabsetLevel + 1;

// find all subheadings immediately below

var tabs = tabset.find("div.section.level" + tabLevel);

if (!tabs.length)

return;

// create tablist and tab-content elements

var tabList = $('<ul class="nav ' + navClass + '" role="tablist"></ul>');

$(tabs[0]).before(tabList);

var tabContent = $('<div class="tab-content"></div>');

$(tabs[0]).before(tabContent);

// build the tabset

var activeTab = 0;

tabs.each(function(i) {

// get the tab div

var tab = $(tabs[i]);

// get the id then sanitize it for use with bootstrap tabs

var id = tab.attr('id');

// see if this is marked as the active tab

if (tab.hasClass('active'))

activeTab = i;

// remove any table of contents entries associated with

// this ID (since we'll be removing the heading element)

$("div#" + tocID + " li a[href='#" + id + "']").parent().remove();

// sanitize the id for use with bootstrap tabs

id = id.replace(/[.\/?&!#<>]/g, '').replace(/\s/g, '_');

tab.attr('id', id);

// get the heading element within it, grab it's text, then remove it

var heading = tab.find('h' + tabLevel + ':first');

var headingText = heading.html();

heading.remove();

// build and append the tab list item

var a = $('<a role="tab" data-toggle="tab">' + headingText + '</a>');

a.attr('href', '#' + id);

a.attr('aria-controls', id);

var li = $('<ul><li role="presentation"></li></ul>');

li.append(a);

tabList.append(li);

// set it's attributes

tab.attr('role', 'tabpanel');

tab.addClass('tab-pane');

tab.addClass('tabbed-pane');

if (fade)

tab.addClass('fade');

// move it into the tab content div

tab.detach().appendTo(tabContent);

});

// set active tab

$(tabList.children('li')[activeTab]).addClass('active');

var active = $(tabContent.children('div.section')[activeTab]);

active.addClass('active');

if (fade)

active.addClass('in');

if (tabset.hasClass("tabset-sticky"))

tabset.rmarkdownStickyTabs();

}

// convert section divs with the .tabset class to tabsets

var tabsets = $("div.section.tabset");

tabsets.each(function(i) {

buildTabset($(tabsets[i]));

});

};

$( document ).ready(function() {

// Fix for dots in level 1 and level 2 titles

$('body .section.level1').each(function () {

$(this).attr("id", $(this).attr("id").replace(/\./g, "-"));

});

$('body .section.level2').each(function () {

$(this).attr("id", $(this).attr("id").replace(/\./g, "-"));

});

$('#toc ul li a').each(function () {

$(this).attr("href", $(this).attr("href").replace(/\./g, "-"));

});

// Shift nav in mobile when clicking the menu.

$(document).on('click', "[data-toggle='wy-nav-top']", function() {

$("[data-toggle='wy-nav-shift']").toggleClass("shift");

});

// Close menu when you click a link.

$(document).on('click', "#toc ul li a", function() {

$("[data-toggle='wy-nav-shift']").removeClass("shift");

});

// Close menu when you click on main content

$(document).on('click', "#main, #header", function() {

$("[data-toggle='wy-nav-shift']").removeClass("shift");

});

// Make tables responsive

$("#main table").wrap("<div class='table-wrapper'></div>");

// ScrollSpy also requires that we use a Bootstrap nav component.

$('#toc ul').first().addClass('nav');

$('body').scrollspy({target: '#toc'});

// add sticky table headers

//$('table').stickyTableHeaders();

});

$(document).ready(function () {

window.buildTabsets("toc");

});

$(document).ready(function () {

$('.tabset-dropdown > .nav-tabs > li').click(function () {

$(this).parent().toggleClass('nav-tabs-open')

});

});

Estadística descriptiva

(Variables y gráficas) (20 puntos)

En un estudio realizado por un instituto de educación superior de

arte y diseño, se aplicaron evaluaciones diagnósticas de Lenguaje,

Matemáticas e Inglés a los nuevos alumnos ingresados antes del comienzo

de clases. Previamente, se les invitó a participar en cursos en línea

durante el verano para nivelar ciertos contenidos básicos. Los

resultados de estas evaluaciones se encuentran en el archivo

StudentPerformance.xlsx

, el cual contiene las

siguientes variables:

  • SEXO: Femenino o masculino.
  • Comuna: Comuna en donde viven.
  • Nivel Socioeconómico: Si pertenecen, según la información de la

    familia, a grupo AB, C1a, C1b, C2 o C3.

  • Curso de Preparación: El estado de los cursos de verano. (Terminado,

    incompleto o ninguno).

  • Puntaje Matemática: Puntaje obtenido en la evaluación de Matemática

    (escala de 0 a 90).

  • Puntaje Lenguaje: Puntaje obtenido en la evaluación de Lenguaje

    (escala de 0 a 90).

  • Puntaje Inglés: Puntaje obtenido en la evaluación de Inglés (escala

    de 0 a 90).

Debe ingresar a la FORMA 4

, para realizar las

actividades correspondientes y responder a las siguientes preguntas:

a) ¿Cuál es la clasificación de las siguientes variables

según su naturaleza?

Cantidad de manzanas compradas:

Puntaje: 1

punto

Nivel de satisfacción de un servicio de flete:

Puntaje: 1 punto

Cantidad de termómetros disponibles:

Puntaje: 1

punto

Tipo de emoción al ver una imagen:

Puntaje: 1

punto

Sexo:

Puntaje: 1 punto

b) ¿Cuál de los siguientes gráficos representa mejor la

información de la situación de los cursos de preparación?

Puntaje: 5 puntos

c) ¿Cuál de los siguientes gráficos representa mejor la

información del puntaje obtenido en Matemática?

Puntaje: 5 puntos

Observación:

  • Al realizar la gráfica Boxplot en Excel, esta calcula los

    cuartiles con la función CUARTIL.EXC, en el cual excluye los valores 0 y

    1 en estos valores. Debido a lo anterior, los valores del cuartil 1 y

    cuartil 3 pueden diferir. Para poder comparar, calcule y compare con la

    función CUARTIL.INC los cuartiles con las siguientes gráficas

d) ¿Cuál de los siguientes gráficos representa mejor la

información del puntaje obtenido en Lenguaje?

Puntaje: 5 puntos

$(document).ready(function () {

});

(function () {

var script = document.createElement("script");

script.type = "text/javascript";

script.src = "https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";

document.getElementsByTagName("head")[0].appendChild(script);

})();

Переглянути це питання

// Pandoc 2.9 adds attributes on both header and div. We remove the former (to

// be compatible with the behavior of Pandoc < 2.8).

document.addEventListener('DOMContentLoaded', function(e) {

var hs = document.querySelectorAll("div.section[class*='level'] > :first-child");

var i, h, a;

for (i = 0; i < hs.length; i++) {

h = hs[i];

if (!/^h[1-6]$/i.test(h.tagName)) continue; // it should be a header h1-h6

a = h.attributes;

while (a.length > 0) h.removeAttribute(a[0].name);

}

});

/*! jQuery v3.6.0 | (c) OpenJS Foundation and other contributors | jquery.org/license */

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this.activeTarget=b,this.clear();var c=this.selector+'[data-target="'+b+'"],'+this.selector+'[href="'+b+'"]',d=a(c).parents("li").addClass("active");d.parent(".dropdown-menu").length&&(d=d.closest("li.dropdown").addClass("active")),d.trigger("activate.bs.scrollspy")},b.prototype.clear=function(){a(this.selector).parentsUntil(this.options.target,".active").removeClass("active")};var d=a.fn.scrollspy;a.fn.scrollspy=c,a.fn.scrollspy.Constructor=b,a.fn.scrollspy.noConflict=function(){return a.fn.scrollspy=d,this},a(window).on("load.bs.scrollspy.data-api",function(){a('[data-spy="scroll"]').each(function(){var b=a(this);c.call(b,b.data())})})}(jQuery),+function(a){"use strict";function b(b){return this.each(function(){var d=a(this),e=d.data("bs.tab");e||d.data("bs.tab",e=new c(this)),"string"==typeof b&&e[b]()})}var c=function(b){this.element=a(b)};c.VERSION="3.3.7",c.TRANSITION_DURATION=150,c.prototype.show=function(){var b=this.element,c=b.closest("ul:not(.dropdown-menu)"),d=b.data("target");if(d||(d=b.attr("href"),d=d&&d.replace(/.*(?=#[^\s]*$)/,"")),!b.parent("li").hasClass("active")){var e=c.find(".active:last a"),f=a.Event("hide.bs.tab",{relatedTarget:b[0]}),g=a.Event("show.bs.tab",{relatedTarget:e[0]});if(e.trigger(f),b.trigger(g),!g.isDefaultPrevented()&&!f.isDefaultPrevented()){var h=a(d);this.activate(b.closest("li"),c),this.activate(h,h.parent(),function(){e.trigger({type:"hidden.bs.tab",relatedTarget:b[0]}),b.trigger({type:"shown.bs.tab",relatedTarget:e[0]})})}}},c.prototype.activate=function(b,d,e){function f(){g.removeClass("active").find("> .dropdown-menu > .active").removeClass("active").end().find('[data-toggle="tab"]').attr("aria-expanded",!1),b.addClass("active").find('[data-toggle="tab"]').attr("aria-expanded",!0),h?(b[0].offsetWidth,b.addClass("in")):b.removeClass("fade"),b.parent(".dropdown-menu").length&&b.closest("li.dropdown").addClass("active").end().find('[data-toggle="tab"]').attr("aria-expanded",!0),e&&e()}var g=d.find("> .active"),h=e&&a.support.transition&&(g.length&&g.hasClass("fade")||!!d.find("> .fade").length);g.length&&h?g.one("bsTransitionEnd",f).emulateTransitionEnd(c.TRANSITION_DURATION):f(),g.removeClass("in")};var d=a.fn.tab;a.fn.tab=b,a.fn.tab.Constructor=c,a.fn.tab.noConflict=function(){return a.fn.tab=d,this};var e=function(c){c.preventDefault(),b.call(a(this),"show")};a(document).on("click.bs.tab.data-api",'[data-toggle="tab"]',e).on("click.bs.tab.data-api",'[data-toggle="pill"]',e)}(jQuery),+function(a){"use strict";function b(b){return this.each(function(){var d=a(this),e=d.data("bs.affix"),f="object"==typeof b&&b;e||d.data("bs.affix",e=new c(this,f)),"string"==typeof b&&e[b]()})}var c=function(b,d){this.options=a.extend({},c.DEFAULTS,d),this.$target=a(this.options.target).on("scroll.bs.affix.data-api",a.proxy(this.checkPosition,this)).on("click.bs.affix.data-api",a.proxy(this.checkPositionWithEventLoop,this)),this.$element=a(b),this.affixed=null,this.unpin=null,this.pinnedOffset=null,this.checkPosition()};c.VERSION="3.3.7",c.RESET="affix affix-top affix-bottom",c.DEFAULTS={offset:0,target:window},c.prototype.getState=function(a,b,c,d){var e=this.$target.scrollTop(),f=this.$element.offset(),g=this.$target.height();if(null!=c&&"top"==this.affixed)return e<c&&"top";if("bottom"==this.affixed)return null!=c?!(e+this.unpin<=f.top)&&"bottom":!(e+g<=a-d)&&"bottom";var h=null==this.affixed,i=h?e:f.top,j=h?g:b;return null!=c&&e<=c?"top":null!=d&&i+j>=a-d&&"bottom"},c.prototype.getPinnedOffset=function(){if(this.pinnedOffset)return this.pinnedOffset;this.$element.removeClass(c.RESET).addClass("affix");var a=this.$target.scrollTop(),b=this.$element.offset();return this.pinnedOffset=b.top-a},c.prototype.checkPositionWithEventLoop=function(){setTimeout(a.proxy(this.checkPosition,this),1)},c.prototype.checkPosition=function(){if(this.$element.is(":visible")){var b=this.$element.height(),d=this.options.offset,e=d.top,f=d.bottom,g=Math.max(a(document).height(),a(document.body).height());"object"!=typeof d&&(f=e=d),"function"==typeof e&&(e=d.top(this.$element)),"function"==typeof f&&(f=d.bottom(this.$element));var h=this.getState(g,b,e,f);if(this.affixed!=h){null!=this.unpin&&this.$element.css("top","");var i="affix"+(h?"-"+h:""),j=a.Event(i+".bs.affix");if(this.$element.trigger(j),j.isDefaultPrevented())return;this.affixed=h,this.unpin="bottom"==h?this.getPinnedOffset():null,this.$element.removeClass(c.RESET).addClass(i).trigger(i.replace("affix","affixed")+".bs.affix")}"bottom"==h&&this.$element.offset({top:g-b-f})}};var d=a.fn.affix;a.fn.affix=b,a.fn.affix.Constructor=c,a.fn.affix.noConflict=function(){return a.fn.affix=d,this},a(window).on("load",function(){a('[data-spy="affix"]').each(function(){var c=a(this),d=c.data();d.offset=d.offset||{},null!=d.offsetBottom&&(d.offset.bottom=d.offsetBottom),null!=d.offsetTop&&(d.offset.top=d.offsetTop),b.call(c,d)})})}(jQuery);

/**

* jQuery Plugin: Sticky Tabs

*

* @author Aidan Lister <aidan@php.net>

* adapted by Ruben Arslan to activate parent tabs too

* http://www.aidanlister.com/2014/03/persisting-the-tab-state-in-bootstrap/

*/

(function($) {

"use strict";

$.fn.rmarkdownStickyTabs = function() {

var context = this;

// Show the tab corresponding with the hash in the URL, or the first tab

var showStuffFromHash = function() {

var hash = window.location.hash;

var selector = hash ? 'a[href="' + hash + '"]' : 'li.active > a';

var $selector = $(selector, context);

if($selector.data('toggle') === "tab") {

$selector.tab('show');

// walk up the ancestors of this element, show any hidden tabs

$selector.parents('.section.tabset').each(function(i, elm) {

var link = $('a[href="#' + $(elm).attr('id') + '"]');

if(link.data('toggle') === "tab") {

link.tab("show");

}

});

}

};

// Set the correct tab when the page loads

showStuffFromHash(context);

// Set the correct tab when a user uses their back/forward button

$(window).on('hashchange', function() {

showStuffFromHash(context);

});

// Change the URL when tabs are clicked

$('a', context).on('click', function(e) {

history.pushState(null, null, this.href);

showStuffFromHash(context);

});

return this;

};

}(jQuery));

window.buildTabsets = function(tocID) {

// build a tabset from a section div with the .tabset class

function buildTabset(tabset) {

// check for fade and pills options

var fade = tabset.hasClass("tabset-fade");

var pills = tabset.hasClass("tabset-pills");

var navClass = pills ? "nav-pills" : "nav-tabs";

// determine the heading level of the tabset and tabs

var match = tabset.attr('class').match(/level(\d) /);

if (match === null)

return;

var tabsetLevel = Number(match[1]);

var tabLevel = tabsetLevel + 1;

// find all subheadings immediately below

var tabs = tabset.find("div.section.level" + tabLevel);

if (!tabs.length)

return;

// create tablist and tab-content elements

var tabList = $('<ul class="nav ' + navClass + '" role="tablist"></ul>');

$(tabs[0]).before(tabList);

var tabContent = $('<div class="tab-content"></div>');

$(tabs[0]).before(tabContent);

// build the tabset

var activeTab = 0;

tabs.each(function(i) {

// get the tab div

var tab = $(tabs[i]);

// get the id then sanitize it for use with bootstrap tabs

var id = tab.attr('id');

// see if this is marked as the active tab

if (tab.hasClass('active'))

activeTab = i;

// remove any table of contents entries associated with

// this ID (since we'll be removing the heading element)

$("div#" + tocID + " li a[href='#" + id + "']").parent().remove();

// sanitize the id for use with bootstrap tabs

id = id.replace(/[.\/?&!#<>]/g, '').replace(/\s/g, '_');

tab.attr('id', id);

// get the heading element within it, grab it's text, then remove it

var heading = tab.find('h' + tabLevel + ':first');

var headingText = heading.html();

heading.remove();

// build and append the tab list item

var a = $('<a role="tab" data-toggle="tab">' + headingText + '</a>');

a.attr('href', '#' + id);

a.attr('aria-controls', id);

var li = $('<ul><li role="presentation"></li></ul>');

li.append(a);

tabList.append(li);

// set it's attributes

tab.attr('role', 'tabpanel');

tab.addClass('tab-pane');

tab.addClass('tabbed-pane');

if (fade)

tab.addClass('fade');

// move it into the tab content div

tab.detach().appendTo(tabContent);

});

// set active tab

$(tabList.children('li')[activeTab]).addClass('active');

var active = $(tabContent.children('div.section')[activeTab]);

active.addClass('active');

if (fade)

active.addClass('in');

if (tabset.hasClass("tabset-sticky"))

tabset.rmarkdownStickyTabs();

}

// convert section divs with the .tabset class to tabsets

var tabsets = $("div.section.tabset");

tabsets.each(function(i) {

buildTabset($(tabsets[i]));

});

};

$( document ).ready(function() {

// Fix for dots in level 1 and level 2 titles

$('body .section.level1').each(function () {

$(this).attr("id", $(this).attr("id").replace(/\./g, "-"));

});

$('body .section.level2').each(function () {

$(this).attr("id", $(this).attr("id").replace(/\./g, "-"));

});

$('#toc ul li a').each(function () {

$(this).attr("href", $(this).attr("href").replace(/\./g, "-"));

});

// Shift nav in mobile when clicking the menu.

$(document).on('click', "[data-toggle='wy-nav-top']", function() {

$("[data-toggle='wy-nav-shift']").toggleClass("shift");

});

// Close menu when you click a link.

$(document).on('click', "#toc ul li a", function() {

$("[data-toggle='wy-nav-shift']").removeClass("shift");

});

// Close menu when you click on main content

$(document).on('click', "#main, #header", function() {

$("[data-toggle='wy-nav-shift']").removeClass("shift");

});

// Make tables responsive

$("#main table").wrap("<div class='table-wrapper'></div>");

// ScrollSpy also requires that we use a Bootstrap nav component.

$('#toc ul').first().addClass('nav');

$('body').scrollspy({target: '#toc'});

// add sticky table headers

//$('table').stickyTableHeaders();

});

$(document).ready(function () {

window.buildTabsets("toc");

});

$(document).ready(function () {

$('.tabset-dropdown > .nav-tabs > li').click(function () {

$(this).parent().toggleClass('nav-tabs-open')

});

});

Estadística descriptiva (Cálculos

estadísticos) (30 puntos)

En un estudio realizado por un instituto de educación superior de

arte y diseño, se aplicaron evaluaciones diagnósticas de Lenguaje,

Matemáticas e Inglés a los nuevos alumnos ingresados antes del comienzo

de clases. Previamente, se les invitó a participar en cursos en línea

durante el verano para nivelar ciertos contenidos básicos. Los

resultados de estas evaluaciones se encuentran en el archivo

StudentPerformance.xlsx

, el cual contiene las

siguientes variables:

  • SEXO: Femenino o masculino.
  • Comuna: Comuna en donde viven.
  • Nivel Socioeconómico: Si pertenecen, según la información de la

    familia, a grupo AB, C1a, C1b, C2 o C3.

  • Curso de Preparación: El estado de los cursos de verano. (Terminado,

    incompleto o ninguno).

  • Puntaje Matemática: Puntaje obtenido en la evaluación de Matemática

    (escala de 0 a 90).

  • Puntaje Lenguaje: Puntaje obtenido en la evaluación de Lenguaje

    (escala de 0 a 90).

  • Puntaje Inglés: Puntaje obtenido en la evaluación de Inglés (escala

    de 0 a 90).

Debe ingresar a la FORMA 6

, para realizar las

actividades correspondientes y responder a las siguientes preguntas:

a) ¿Cuánto es el puntaje medio de la evaluación de

Matemática? Trabajar con 1 decimal.

El puntaje medio es

Puntaje: 3 puntos

b) ¿Cuánto es la desviación estándar poblacional de la

evaluación de Matemática? Trabajar con 1 decimal.

La desviación estándar poblacional es

Puntaje: 3 puntos

c) ¿Cuánto es el coeficiente de variación de la evaluación de

Matemática? Trabajar con 2 decimales.

El coeficiente de variación es

%

Puntaje: 4 puntos

d) ¿Cuánto es el puntaje medio de la evaluación de Inglés del

sexo femenino? Trabajar con 1 decimal.

El puntaje medio es

Puntaje: 3 puntos

e) ¿Cuánto es la desviación estándar poblacional de la

evaluación de Inglés del sexo femenino? Trabajar con 1

decimal.

La desviación estándar poblacional es

Puntaje: 3 puntos

f) ¿Cuánto es el coeficiente de variación de la evaluación de

Inglés del sexo femenino? Trabajar con 2 decimales.

El coeficiente de variación es

%

Puntaje: 4 puntos

g) ¿Cuánto es el puntaje medio de la evaluación de Lenguaje

del sexo masculino? Trabajar con 1 decimal.

El puntaje medio es

Puntaje: 3 puntos

h) ¿Cuánto es la desviación estándar poblacional de la

evaluación de Lenguaje del sexo masculino? Trabajar con 1

decimal.

La desviación estándar poblacional es

Puntaje: 3 puntos

i) ¿Cuánto es el coeficiente de variación de la evaluación de

Lenguaje del sexo masculino? Trabajar con 2 decimales.

El coeficiente de variación es

%

Puntaje: 4 puntos

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b=a.Event("show.bs."+this.type);if(this.hasContent()&&this.enabled){this.$element.trigger(b);var d=a.contains(this.$element[0].ownerDocument.documentElement,this.$element[0]);if(b.isDefaultPrevented()||!d)return;var e=this,f=this.tip(),g=this.getUID(this.type);this.setContent(),f.attr("id",g),this.$element.attr("aria-describedby",g),this.options.animation&&f.addClass("fade");var h="function"==typeof this.options.placement?this.options.placement.call(this,f[0],this.$element[0]):this.options.placement,i=/\s?auto?\s?/i,j=i.test(h);j&&(h=h.replace(i,"")||"top"),f.detach().css({top:0,left:0,display:"block"}).addClass(h).data("bs."+this.type,this),this.options.container?f.appendTo(this.options.container):f.insertAfter(this.$element),this.$element.trigger("inserted.bs."+this.type);var k=this.getPosition(),l=f[0].offsetWidth,m=f[0].offsetHeight;if(j){var n=h,o=this.getPosition(this.$viewport);h="bottom"==h&&k.bottom+m>o.bottom?"top":"top"==h&&k.top-m<o.top?"bottom":"right"==h&&k.right+l>o.width?"left":"left"==h&&k.left-l<o.left?"right":h,f.removeClass(n).addClass(h)}var p=this.getCalculatedOffset(h,k,l,m);this.applyPlacement(p,h);var q=function(){var a=e.hoverState;e.$element.trigger("shown.bs."+e.type),e.hoverState=null,"out"==a&&e.leave(e)};a.support.transition&&this.$tip.hasClass("fade")?f.one("bsTransitionEnd",q).emulateTransitionEnd(c.TRANSITION_DURATION):q()}},c.prototype.applyPlacement=function(b,c){var d=this.tip(),e=d[0].offsetWidth,f=d[0].offsetHeight,g=parseInt(d.css("margin-top"),10),h=parseInt(d.css("margin-left"),10);isNaN(g)&&(g=0),isNaN(h)&&(h=0),b.top+=g,b.left+=h,a.offset.setOffset(d[0],a.extend({using:function(a){d.css({top:Math.round(a.top),left:Math.round(a.left)})}},b),0),d.addClass("in");var i=d[0].offsetWidth,j=d[0].offsetHeight;"top"==c&&j!=f&&(b.top=b.top+f-j);var 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e={top:0,left:0};if(!this.$viewport)return e;var f=this.options.viewport&&this.options.viewport.padding||0,g=this.getPosition(this.$viewport);if(/right|left/.test(a)){var h=b.top-f-g.scroll,i=b.top+f-g.scroll+d;h<g.top?e.top=g.top-h:i>g.top+g.height&&(e.top=g.top+g.height-i)}else{var j=b.left-f,k=b.left+f+c;j<g.left?e.left=g.left-j:k>g.right&&(e.left=g.left+g.width-k)}return e},c.prototype.getTitle=function(){var a,b=this.$element,c=this.options;return a=b.attr("data-original-title")||("function"==typeof c.title?c.title.call(b[0]):c.title)},c.prototype.getUID=function(a){do a+=~~(1e6*Math.random());while(document.getElementById(a));return a},c.prototype.tip=function(){if(!this.$tip&&(this.$tip=a(this.options.template),1!=this.$tip.length))throw new Error(this.type+" `template` option must consist of exactly 1 top-level element!");return this.$tip},c.prototype.arrow=function(){return this.$arrow=this.$arrow||this.tip().find(".tooltip-arrow")},c.prototype.enable=function(){this.enabled=!0},c.prototype.disable=function(){this.enabled=!1},c.prototype.toggleEnabled=function(){this.enabled=!this.enabled},c.prototype.toggle=function(b){var c=this;b&&(c=a(b.currentTarget).data("bs."+this.type),c||(c=new this.constructor(b.currentTarget,this.getDelegateOptions()),a(b.currentTarget).data("bs."+this.type,c))),b?(c.inState.click=!c.inState.click,c.isInStateTrue()?c.enter(c):c.leave(c)):c.tip().hasClass("in")?c.leave(c):c.enter(c)},c.prototype.destroy=function(){var a=this;clearTimeout(this.timeout),this.hide(function(){a.$element.off("."+a.type).removeData("bs."+a.type),a.$tip&&a.$tip.detach(),a.$tip=null,a.$arrow=null,a.$viewport=null,a.$element=null})};var d=a.fn.tooltip;a.fn.tooltip=b,a.fn.tooltip.Constructor=c,a.fn.tooltip.noConflict=function(){return a.fn.tooltip=d,this}}(jQuery),+function(a){"use strict";function b(b){return this.each(function(){var 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in"),a.find(".popover-title").html()||a.find(".popover-title").hide()},c.prototype.hasContent=function(){return this.getTitle()||this.getContent()},c.prototype.getContent=function(){var a=this.$element,b=this.options;return a.attr("data-content")||("function"==typeof b.content?b.content.call(a[0]):b.content)},c.prototype.arrow=function(){return this.$arrow=this.$arrow||this.tip().find(".arrow")};var d=a.fn.popover;a.fn.popover=b,a.fn.popover.Constructor=c,a.fn.popover.noConflict=function(){return a.fn.popover=d,this}}(jQuery),+function(a){"use strict";function b(c,d){this.$body=a(document.body),this.$scrollElement=a(a(c).is(document.body)?window:c),this.options=a.extend({},b.DEFAULTS,d),this.selector=(this.options.target||"")+" .nav li > a",this.offsets=[],this.targets=[],this.activeTarget=null,this.scrollHeight=0,this.$scrollElement.on("scroll.bs.scrollspy",a.proxy(this.process,this)),this.refresh(),this.process()}function c(c){return this.each(function(){var 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a,b=this.$scrollElement.scrollTop()+this.options.offset,c=this.getScrollHeight(),d=this.options.offset+c-this.$scrollElement.height(),e=this.offsets,f=this.targets,g=this.activeTarget;if(this.scrollHeight!=c&&this.refresh(),b>=d)return g!=(a=f[f.length-1])&&this.activate(a);if(g&&b<e[0])return this.activeTarget=null,this.clear();for(a=e.length;a--;)g!=f[a]&&b>=e[a]&&(void 0===e[a+1]||b<e[a+1])&&this.activate(f[a])},b.prototype.activate=function(b){

this.activeTarget=b,this.clear();var c=this.selector+'[data-target="'+b+'"],'+this.selector+'[href="'+b+'"]',d=a(c).parents("li").addClass("active");d.parent(".dropdown-menu").length&&(d=d.closest("li.dropdown").addClass("active")),d.trigger("activate.bs.scrollspy")},b.prototype.clear=function(){a(this.selector).parentsUntil(this.options.target,".active").removeClass("active")};var d=a.fn.scrollspy;a.fn.scrollspy=c,a.fn.scrollspy.Constructor=b,a.fn.scrollspy.noConflict=function(){return a.fn.scrollspy=d,this},a(window).on("load.bs.scrollspy.data-api",function(){a('[data-spy="scroll"]').each(function(){var b=a(this);c.call(b,b.data())})})}(jQuery),+function(a){"use strict";function b(b){return this.each(function(){var d=a(this),e=d.data("bs.tab");e||d.data("bs.tab",e=new c(this)),"string"==typeof b&&e[b]()})}var c=function(b){this.element=a(b)};c.VERSION="3.3.7",c.TRANSITION_DURATION=150,c.prototype.show=function(){var b=this.element,c=b.closest("ul:not(.dropdown-menu)"),d=b.data("target");if(d||(d=b.attr("href"),d=d&&d.replace(/.*(?=#[^\s]*$)/,"")),!b.parent("li").hasClass("active")){var e=c.find(".active:last a"),f=a.Event("hide.bs.tab",{relatedTarget:b[0]}),g=a.Event("show.bs.tab",{relatedTarget:e[0]});if(e.trigger(f),b.trigger(g),!g.isDefaultPrevented()&&!f.isDefaultPrevented()){var h=a(d);this.activate(b.closest("li"),c),this.activate(h,h.parent(),function(){e.trigger({type:"hidden.bs.tab",relatedTarget:b[0]}),b.trigger({type:"shown.bs.tab",relatedTarget:e[0]})})}}},c.prototype.activate=function(b,d,e){function f(){g.removeClass("active").find("> .dropdown-menu > .active").removeClass("active").end().find('[data-toggle="tab"]').attr("aria-expanded",!1),b.addClass("active").find('[data-toggle="tab"]').attr("aria-expanded",!0),h?(b[0].offsetWidth,b.addClass("in")):b.removeClass("fade"),b.parent(".dropdown-menu").length&&b.closest("li.dropdown").addClass("active").end().find('[data-toggle="tab"]').attr("aria-expanded",!0),e&&e()}var g=d.find("> .active"),h=e&&a.support.transition&&(g.length&&g.hasClass("fade")||!!d.find("> .fade").length);g.length&&h?g.one("bsTransitionEnd",f).emulateTransitionEnd(c.TRANSITION_DURATION):f(),g.removeClass("in")};var d=a.fn.tab;a.fn.tab=b,a.fn.tab.Constructor=c,a.fn.tab.noConflict=function(){return a.fn.tab=d,this};var e=function(c){c.preventDefault(),b.call(a(this),"show")};a(document).on("click.bs.tab.data-api",'[data-toggle="tab"]',e).on("click.bs.tab.data-api",'[data-toggle="pill"]',e)}(jQuery),+function(a){"use strict";function b(b){return this.each(function(){var d=a(this),e=d.data("bs.affix"),f="object"==typeof b&&b;e||d.data("bs.affix",e=new c(this,f)),"string"==typeof b&&e[b]()})}var c=function(b,d){this.options=a.extend({},c.DEFAULTS,d),this.$target=a(this.options.target).on("scroll.bs.affix.data-api",a.proxy(this.checkPosition,this)).on("click.bs.affix.data-api",a.proxy(this.checkPositionWithEventLoop,this)),this.$element=a(b),this.affixed=null,this.unpin=null,this.pinnedOffset=null,this.checkPosition()};c.VERSION="3.3.7",c.RESET="affix affix-top affix-bottom",c.DEFAULTS={offset:0,target:window},c.prototype.getState=function(a,b,c,d){var e=this.$target.scrollTop(),f=this.$element.offset(),g=this.$target.height();if(null!=c&&"top"==this.affixed)return e<c&&"top";if("bottom"==this.affixed)return null!=c?!(e+this.unpin<=f.top)&&"bottom":!(e+g<=a-d)&&"bottom";var h=null==this.affixed,i=h?e:f.top,j=h?g:b;return null!=c&&e<=c?"top":null!=d&&i+j>=a-d&&"bottom"},c.prototype.getPinnedOffset=function(){if(this.pinnedOffset)return this.pinnedOffset;this.$element.removeClass(c.RESET).addClass("affix");var a=this.$target.scrollTop(),b=this.$element.offset();return this.pinnedOffset=b.top-a},c.prototype.checkPositionWithEventLoop=function(){setTimeout(a.proxy(this.checkPosition,this),1)},c.prototype.checkPosition=function(){if(this.$element.is(":visible")){var b=this.$element.height(),d=this.options.offset,e=d.top,f=d.bottom,g=Math.max(a(document).height(),a(document.body).height());"object"!=typeof d&&(f=e=d),"function"==typeof e&&(e=d.top(this.$element)),"function"==typeof f&&(f=d.bottom(this.$element));var h=this.getState(g,b,e,f);if(this.affixed!=h){null!=this.unpin&&this.$element.css("top","");var i="affix"+(h?"-"+h:""),j=a.Event(i+".bs.affix");if(this.$element.trigger(j),j.isDefaultPrevented())return;this.affixed=h,this.unpin="bottom"==h?this.getPinnedOffset():null,this.$element.removeClass(c.RESET).addClass(i).trigger(i.replace("affix","affixed")+".bs.affix")}"bottom"==h&&this.$element.offset({top:g-b-f})}};var d=a.fn.affix;a.fn.affix=b,a.fn.affix.Constructor=c,a.fn.affix.noConflict=function(){return a.fn.affix=d,this},a(window).on("load",function(){a('[data-spy="affix"]').each(function(){var c=a(this),d=c.data();d.offset=d.offset||{},null!=d.offsetBottom&&(d.offset.bottom=d.offsetBottom),null!=d.offsetTop&&(d.offset.top=d.offsetTop),b.call(c,d)})})}(jQuery);

/**

* jQuery Plugin: Sticky Tabs

*

* @author Aidan Lister <aidan@php.net>

* adapted by Ruben Arslan to activate parent tabs too

* http://www.aidanlister.com/2014/03/persisting-the-tab-state-in-bootstrap/

*/

(function($) {

"use strict";

$.fn.rmarkdownStickyTabs = function() {

var context = this;

// Show the tab corresponding with the hash in the URL, or the first tab

var showStuffFromHash = function() {

var hash = window.location.hash;

var selector = hash ? 'a[href="' + hash + '"]' : 'li.active > a';

var $selector = $(selector, context);

if($selector.data('toggle') === "tab") {

$selector.tab('show');

// walk up the ancestors of this element, show any hidden tabs

$selector.parents('.section.tabset').each(function(i, elm) {

var link = $('a[href="#' + $(elm).attr('id') + '"]');

if(link.data('toggle') === "tab") {

link.tab("show");

}

});

}

};

// Set the correct tab when the page loads

showStuffFromHash(context);

// Set the correct tab when a user uses their back/forward button

$(window).on('hashchange', function() {

showStuffFromHash(context);

});

// Change the URL when tabs are clicked

$('a', context).on('click', function(e) {

history.pushState(null, null, this.href);

showStuffFromHash(context);

});

return this;

};

}(jQuery));

window.buildTabsets = function(tocID) {

// build a tabset from a section div with the .tabset class

function buildTabset(tabset) {

// check for fade and pills options

var fade = tabset.hasClass("tabset-fade");

var pills = tabset.hasClass("tabset-pills");

var navClass = pills ? "nav-pills" : "nav-tabs";

// determine the heading level of the tabset and tabs

var match = tabset.attr('class').match(/level(\d) /);

if (match === null)

return;

var tabsetLevel = Number(match[1]);

var tabLevel = tabsetLevel + 1;

// find all subheadings immediately below

var tabs = tabset.find("div.section.level" + tabLevel);

if (!tabs.length)

return;

// create tablist and tab-content elements

var tabList = $('<ul class="nav ' + navClass + '" role="tablist"></ul>');

$(tabs[0]).before(tabList);

var tabContent = $('<div class="tab-content"></div>');

$(tabs[0]).before(tabContent);

// build the tabset

var activeTab = 0;

tabs.each(function(i) {

// get the tab div

var tab = $(tabs[i]);

// get the id then sanitize it for use with bootstrap tabs

var id = tab.attr('id');

// see if this is marked as the active tab

if (tab.hasClass('active'))

activeTab = i;

// remove any table of contents entries associated with

// this ID (since we'll be removing the heading element)

$("div#" + tocID + " li a[href='#" + id + "']").parent().remove();

// sanitize the id for use with bootstrap tabs

id = id.replace(/[.\/?&!#<>]/g, '').replace(/\s/g, '_');

tab.attr('id', id);

// get the heading element within it, grab it's text, then remove it

var heading = tab.find('h' + tabLevel + ':first');

var headingText = heading.html();

heading.remove();

// build and append the tab list item

var a = $('<a role="tab" data-toggle="tab">' + headingText + '</a>');

a.attr('href', '#' + id);

a.attr('aria-controls', id);

var li = $('<ul><li role="presentation"></li></ul>');

li.append(a);

tabList.append(li);

// set it's attributes

tab.attr('role', 'tabpanel');

tab.addClass('tab-pane');

tab.addClass('tabbed-pane');

if (fade)

tab.addClass('fade');

// move it into the tab content div

tab.detach().appendTo(tabContent);

});

// set active tab

$(tabList.children('li')[activeTab]).addClass('active');

var active = $(tabContent.children('div.section')[activeTab]);

active.addClass('active');

if (fade)

active.addClass('in');

if (tabset.hasClass("tabset-sticky"))

tabset.rmarkdownStickyTabs();

}

// convert section divs with the .tabset class to tabsets

var tabsets = $("div.section.tabset");

tabsets.each(function(i) {

buildTabset($(tabsets[i]));

});

};

$( document ).ready(function() {

// Fix for dots in level 1 and level 2 titles

$('body .section.level1').each(function () {

$(this).attr("id", $(this).attr("id").replace(/\./g, "-"));

});

$('body .section.level2').each(function () {

$(this).attr("id", $(this).attr("id").replace(/\./g, "-"));

});

$('#toc ul li a').each(function () {

$(this).attr("href", $(this).attr("href").replace(/\./g, "-"));

});

// Shift nav in mobile when clicking the menu.

$(document).on('click', "[data-toggle='wy-nav-top']", function() {

$("[data-toggle='wy-nav-shift']").toggleClass("shift");

});

// Close menu when you click a link.

$(document).on('click', "#toc ul li a", function() {

$("[data-toggle='wy-nav-shift']").removeClass("shift");

});

// Close menu when you click on main content

$(document).on('click', "#main, #header", function() {

$("[data-toggle='wy-nav-shift']").removeClass("shift");

});

// Make tables responsive

$("#main table").wrap("<div class='table-wrapper'></div>");

// ScrollSpy also requires that we use a Bootstrap nav component.

$('#toc ul').first().addClass('nav');

$('body').scrollspy({target: '#toc'});

// add sticky table headers

//$('table').stickyTableHeaders();

});

$(document).ready(function () {

window.buildTabsets("toc");

});

$(document).ready(function () {

$('.tabset-dropdown > .nav-tabs > li').click(function () {

$(this).parent().toggleClass('nav-tabs-open')

});

});

Estadística descriptiva

(Variables y gráficas) (20 puntos)

En un estudio realizado por un instituto de educación superior de

arte y diseño, se aplicaron evaluaciones diagnósticas de Lenguaje,

Matemáticas e Inglés a los nuevos alumnos ingresados antes del comienzo

de clases. Previamente, se les invitó a participar en cursos en línea

durante el verano para nivelar ciertos contenidos básicos. Los

resultados de estas evaluaciones se encuentran en el archivo

StudentPerformance.xlsx

, el cual contiene las

siguientes variables:

  • SEXO: Femenino o masculino.
  • Comuna: Comuna en donde viven.
  • Nivel Socioeconómico: Si pertenecen, según la información de la

    familia, a grupo AB, C1a, C1b, C2 o C3.

  • Curso de Preparación: El estado de los cursos de verano. (Terminado,

    incompleto o ninguno).

  • Puntaje Matemática: Puntaje obtenido en la evaluación de Matemática

    (escala de 0 a 90).

  • Puntaje Lenguaje: Puntaje obtenido en la evaluación de Lenguaje

    (escala de 0 a 90).

  • Puntaje Inglés: Puntaje obtenido en la evaluación de Inglés (escala

    de 0 a 90).

Debe ingresar a la FORMA 4

, para realizar las

actividades correspondientes y responder a las siguientes preguntas:

a) ¿Cuál es la clasificación de las siguientes variables

según su naturaleza?

Cantidad de manzanas compradas:

Puntaje: 1

punto

Nivel de satisfacción de un servicio de flete:

Puntaje: 1 punto

Cantidad de termómetros disponibles:

Puntaje: 1

punto

Tipo de emoción al ver una imagen:

Puntaje: 1

punto

Sexo:

Puntaje: 1 punto

b) ¿Cuál de los siguientes gráficos representa mejor la

información de la situación de los cursos de preparación?

Puntaje: 5 puntos

c) ¿Cuál de los siguientes gráficos representa mejor la

información del puntaje obtenido en Matemática?

Puntaje: 5 puntos

Observación:

  • Al realizar la gráfica Boxplot en Excel, esta calcula los

    cuartiles con la función CUARTIL.EXC, en el cual excluye los valores 0 y

    1 en estos valores. Debido a lo anterior, los valores del cuartil 1 y

    cuartil 3 pueden diferir. Para poder comparar, calcule y compare con la

    función CUARTIL.INC los cuartiles con las siguientes gráficas

d) ¿Cuál de los siguientes gráficos representa mejor la

información del puntaje obtenido en Lenguaje?

Puntaje: 5 puntos

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});

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