Descriptive statistics Whites Blacks count 30 30 mean 7.27 7.90 sample variance

Question

Descriptive statistics

Whites

Blacks

count

30

30

mean

7.27

7.90

sample variance

8.27

5.75

sample standard deviation

2.88

2.40

minimum

1

1

maximum

10

10

range

9

9

1st quartile

5.00

6.25

median

8.00

8.50

3rd quartile

10.00

10.00

interquartile range

5.00

3.75

mode

10.00

10.00

low extremes

0

0

low outliers

0

0

high outliers

0

0

high extremes

0

0

Descriptive statistics

Whites

Blacks

count

30

30

mean

7.27

7.90

sample variance

8.27

5.75

sample standard deviation

2.88

2.40

minimum

1

1

maximum

10

10

range

9

9

1st quartile

5.00

6.25

median

8.00

8.50

3rd quartile

10.00

10.00

interquartile range

5.00

3.75

mode

10.00

10.00

low extremes

0

0

low outliers

0

0

high outliers

0

0

high extremes

0

0

Explanation / Answer

From the data whites median = 8 and blacks median is8.50 Coefficient of variation of whites data = standard deviation /mean *100                                                          =(2.88/7.27)*100= 39.6 Coefficient of variation of Blacks data = standarddeviation / mean *100                                                          =(2.40/7.90)*100= 30.4 blacks data has less variation So blacks data is the bestestimator. Coefficient of variation of Blacks data = standarddeviation / mean *100                                                          =(2.40/7.90)*100= 30.4 blacks data has less variation So blacks data is the bestestimator.

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