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Statistics and Data Science / Statistiek en Datawetenskap - 188

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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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Die wydte van elke reghoek in ‘n histogram stem ooreen met die / The width of each bar in a histogram corresponds to the

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Die maandelikse verhuringskoste per vierkante meter vir kantoorruimte in 25 geboue in Durban se middestad (in rand) word in die volgende frekwensieverdeling gegee: / The monthly rental cost per square meter for office space in 25 buildings in Durban’s centre (in Rand) is given in the following frequency distribution:

Onderste grens / Lower Boundary

Boonste grens / Upper Boundary

Frekwensie / Frequency

 151200

6

201250

8

251300

6

301350

2

351400

2

 401450

1

 

Die kumulatiewe relatiewe frekwensies is / The cumulative relative frequencies are

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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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Onderste grens / Lower Boundary

Boonste grens / Upper Boundary

Frekwensie / Frequency

 2635

18

3645

27

4655

32

5665

22

6675

15

 7685

8

 

Die kumulatiewe relatiewe frekwensie vir klasinterval  66 tot 75 is: / The cumulative relative frequency for the class interval 66 to 75 is:

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In ’n ondersoek van drie banke in Suid-Afrika is tien analiste gevra om een van die banke se risiko om insolvent te raak, as ‘laag’, ‘medium’ of ‘hoog’ aan te dui. Die volgende uittreksel uit die data word aan u gegee. Hieruit kan ons byvoorbeeld sien dat die evaluering van Bank 1 aan analiste 1, 2, 8 en 10 toegeken is, en dat analis 8 die risiko as laag beskou het, terwyl die ander drie die risiko as hoog beskou het. / In an investigation of three banks in South Africa, ten analysts were asked to indicate the risk of one of the banks to become insolvent as ‘low’, ‘medium’ or ‘high’. The following excerpt from the data is given to you. From this we can, for example, see the evaluation of Bank 1 was allocated to analysts 1, 2, 8, and 10 and that analyst 8 deemed the risk to be low, while the other three deemed it to be high.

 

Analis /

Analyst

Risiko /

Risk

Bank /

Bank

1

hoog / high

1

2

hoog / high

1

3

medium

3

4

medium

2

5

medium

3

6

laag / low

3

7

medium

2

8

laag / low

1

9

hoog / high

2

10

hoog / high

1

 

Die korrekte grafiese tegniek om die data voor te stel is / The correct graphical technique to represent this data is

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