Math Problem Solver

The following are the annual incomes (in thousands of dollars) for 25 randomly chosen, U.S. adults employed full-time:

26, 31, 32, 34, 35, 38, 38, 38, 38, 39, 40, 41, 43, 44, 44, 46, 46, 50, 51, 54, 62, 69, 99, 115.

(a) For these data, which measures of central tendency take more than one value? Choose all that apply.

Mean

Median

Mode

None of these measures

(b) Suppose that the measurement 115 (the largest measurement in the data set) were replaced by 154. 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 right. 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