Question

The number of hours worked by each of the employees last week at two stores are listed below.

Hours Worked in a Week at Two Stores
Store 1 16, 28, 36, 40, 78
Store 2 22, 27, 33, 36, 40

Which statements are true and supported by the data in the table? Check all that apply.
The data for store 1 shows greater variability.
The median number of hours worked for the two stores is the same.
The mean of the data for store 1 is greater than the mean of the data for store 2.
The interquartile range of both data sets is the same.
The range of the data for store 1 is less than the range of the data for store 2.

Answer 1

The correct answers are:

1) The data for store 1 shows greater variability.

3) The mean of the data for store 1 is greater than the mean of the data for store 2.

Explanation:

I got these two correct on Edge 2021!

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Answer 2

The correct options are;

1) The data for store 1 show greater variability

2) The mean of the data for store 1 is greater than the mean of the data for store 2

Explanation:

The given information are;

Hours worked in a week

Store 1

16, 28, 36, 40, 78

Store 2

22, 27, 33, 36, 40

Using an online application, we have;

For store 1

The range is 78 - 16 = 62

Mean = 39.6

Standard deviation ≈ 20.88 (Higher variability)

Median = 36

Lower quartile = 22

Upper quartile = 59

Interquartile range = 59 - 22 = 37

For store 2

The range is 40 - 22 = 18

Mean = 31.6

Standard deviation ≈ 6.41 (Lower variability)

Median = 33

Lower quartile = 24.5

Upper quartile = 38

Interquartile range = 38 - 24.5 = 13.5