Chapter 4.3, Problem 24E

Understanding Standard Deviation. The following four sets of seven 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, 6, 7}    {3, 3, 3, 6, 9, 9, 9}

1. a. Make a histogram for each set.
2. b. Give the five-number summary and draw a boxplot for each set.
3. c. Compute the standard deviation for each set.
4. d. Based on your results, briefly explain how the standard deviation provides a useful single-number summary of the variation in these data sets.