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The owners of the coffee shop would like to know if there is a difference in purchases ($) made in the mornings (7am to 12pm)

The owners of the coffee shop would like to know if there is a difference in purchases ($) made in the mornings (7am to 12pm) and the afternoons (12pm to 5pm). The following tables summarise the descriptive statistics for the morning and the afternoon purchases.

Morning

Afternoon

Mean

18.2

Mean

8.2

Median

20

Median

7.4

Mode

20

Mode

6

Standard Deviation

4.3

Standard Deviation

3.7

Sample Variance

18.5

Sample Variance

14.0

Range

12.5

Range

10.5

Count

12

Count

12

a) Would you describe the shape of morning purchases as being symmetric, skewed to the left or skewed to the right?

b) Would you describe the shape of afternoon purchases as being symmetric, skewed to the left or skewed to the right?

c) Can you find the interquartile range for either sets of data? Briefly explain.

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