An intelligence test that has a maximum time for completion of 45 minutes was recently administered to a group of 22 people. Their respective times for completion (in minutes) were as follows.

22, 26, 31, 34, 34, 34, 36, 37, 37, 38, 38, 39, 39, 41, 41, 42, 42, 42, 43, 43, 43, 44

(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 22 (the smallest measurement in the data set) were replaced by 12. 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