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.