The following quantities of coffee purchases were made at a coffee kiosk in the lobby of an office building over a 13-week period:

Week Purchases

Week 1 87

Week 2 81

Week 3 75

Week 4 75

Week 5 75

Week 6 70

Week 7 62

Week 8 62

Week 9 62

Week 10 62

Week 11 62

Week 12 56

Week 13 56

1.Calculate the mean, median, and mode for the data.

2.Prepare a frequency distribution for the data.

3.Calculate the standard deviation for this data.

4.Explain why statisticians typically use the standard deviation rather than the average deviation.

Week Purchases

Week 1 87

Week 2 81

Week 3 75

Week 4 75

Week 5 75

Week 6 70

Week 7 62

Week 8 62

Week 9 62

Week 10 62

Week 11 62

Week 12 56

Week 13 56

1.Calculate the mean, median, and mode for the data.

2.Prepare a frequency distribution for the data.

3.Calculate the standard deviation for this data.

4.Explain why statisticians typically use the standard deviation rather than the average deviation.

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