Chapter 6.B, Problem 20E

Understanding Variation. The following exercises give four data sets consisting of seven numbers.

a. Make a histogram for each set.

b. Give the five-number summary and draw a boxplot for each set.

c. Compute the standard deviation for each set.

d. Based on your results, briefly explain how the standard deviation provides a useful single-number summary of the variation these data sets.

20. The following sets of numbers all have a mean of 6:

{6, 6, 6, 6, 6, 6, 6}, {5, 5, 6, 6, 6, 7, 7},

{5, 5, 5, 6, 7, 7, 7}, {3, 3, 3, 6, 9, 9, 9}