Problem Page

Question

A survey of23

retirees was taken. Among other things, the retirees were asked to report the age at which they retired. Here are those23

ages (in years).34

,42

,44

,47

,53

,56

,58

,58

,61

,61

,61

,62

,62

,62

,63

,64

,65

,69

,71

,74

,74

,75

,76

Send data to calculator

Send data to Excel

10

8

6

4

2

0

Frequency

1

3

4

10

5

304050607080

Age (in years)

(a)

Which measures of central tendency do not exist for this data set? Choose all that apply.Mean

Median

Mode

None of these measures

(b)

Suppose that the measurement 34 (the smallest measurement in the data set) were replaced by 23. Which measures of central tendency would be affected by the change? Choose all that apply.Mean

Median

Mode

None of these measures

(c)

Suppose that, starting with the original data set, the largest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.Mean

Median

Mode

None of these measures

(d)

The relative values of the mean and median for the original data set are typical of data that have a significant skew to the left. What are the relative values of the mean and median for the original data set? Choose only one.Mean is greater

Median is greater

Cannot be determined