Ages of Executives The ages of a sample of 100 executives are listed. 31 62 51 44 61 47 49 45 40 52 60 51 67 47 63 54 59 43 63 52 50 54 61 41 48 49 51 54 39 54 47 52 36 53 74 33 53 68 44 40 60 42 50 48 42 42 36 57 42 48 56 51 54 42 27 43 43 41 54 49 49 47 51 28 54 36 36 41 60 55 42 59 35 65 48 56 82 39 54 49 61 56 57 32 38 48 64 51 45 46 62 63 59 63 32 47 40 37 49 57

(a) Find the five-number summary.

(b) Draw a box-and-whisker plot that represents the data set.

(c) Interpret the results in the context of the data.

(d) On the basis of this sample, at what age would you expect to be an executive? Explain your reasoning.

(e) Which age groups, if any, can be considered unusual? Explain your reasoning. Midquartile Another measure of position is called the midquartile. You can find the midquartile of a data set by using the following formula. In Exercises 52–55, find the midquartile of the given data set.