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Statistics and Data Science / Statistiek en Datawetenskap - 188

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Beskou ʼn klokvormige verdeling met μ = 13.4 en σ² = 4.84. Die benaderde grense waarbinne ongeveer 95% van die waardes in die verdeling lê, is: / Consider a bell-shaped distribution with μ = 13.4 and σ² = 4.84. The approximate limits between which approximately 95% of the distribution lie are:

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Stingel / Stem                    Blaar / Leaf

5                                        1 3 4 5

6                                        5 6 8 9 9

7                                        0 1 2 2 3 4 5 6 7 9

8                                        0 2 3 6 8 9

9                                        1 6 9 9

 

Skaal: / Scale:   5         1 ≡ 51

 

Die gemiddelde is gelyk aan: / The mean equals:

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Die volgende totale word gegee vir ’n steekproef wat uit 75 waardes bestaan: / The following totals are given for a sample consisting of 75 values:

Formula

Bereken die standaardafwyking. / Calculate the standard deviation.

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Gegee die volgende frekwensieverdeling vir: / Given the following frequency distribution for :

Klasgrense /

Class   limits

Frekwensie /

Frequency

 (0;10]

30

 (10;20]

35

 (20;30]

20

 (30;40]

10

 (40;50]

5

Totaal / Total 

100

 

Die akkuraatste benadering vir die gemiddelde is: / The most accurate  approximation for the mean is:

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Die volgende totale word gegee vir ʼn steekproef van 50 waarnemings: / The following totals are given for a sample of 50 observations:

Formula

Bereken die korrelasiekoëffisiënt. / Calculate the correlation coefficient.

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Beskou die volgende steekproefinligting: n=50, x̄ = 180.25 and s² = 342.2. Indien elke waarde in die datastel met twee vermenigvuldig word, is die gemiddelde en die variansie se waardes onderskeidelik / Consider the following sample information: n=50, x̄ = 180.25 and s² = 342.2. If each value in the data set is multiplied by two, the respective values of the mean and the variance will be

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Beskou die volgende steekproefinligting: n =35; x̄ = 145.45 en s² = 492.84. Indien elke waarde in die datastel met drie vermenigvuldig word, is die gemiddelde en die variansie se waardes onderskeidelik / Consider the following sample information: n =35; x̄ = 145.45 and s² = 492.84. If each value in the data set is multiplied by three, the respective values of the mean and the variance will be

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Stingel / Stem                   Blaar / Leaf

5                                        1 3 4 5

6                                        5 6 8 9 9

7                                        0 1 2 2 3 4 5 6 7 9

8                                        0 2 3 6 8 9

9                                        1 6 9 9

 

Skaal: / Scale:   5         1 ≡ 51

 

Die verdeling van die populasie is / The distribution of the population is

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Beskou die volgende spreidingsdiagram van twee veranderlikes, X en Y: / Consider the following scatter diagram of two variables, X and Y:

 

Die verwantskap tussen X en Y kan beskryf word as / The relationship between X and Y can be described as

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Beskou die volgende stingel-en-blaar voorstelling: / Consider the following stem-and-leave display:

                        Stingel / Stem                                               Blare / Leaves

 

                        3                                                                     2 4

                        4                                                                     0 3 4 7 8 9 9 9

                        5                                                                     0 1 1 2 3 4 5

                        6                                                                     1 2 5 6 6

                        7                                                                     0 1

                        8

                        9                                                                     2

Watter persentasie van die waarnemings is groter as 80? / What percentage of observations is larger than 80?

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