Question

Which best describes the spread of a set of data that has an interquartile range of 14 and a mean absolute deviation of 6

A
The average distance of all data values from the mean is 10 and the middle 50% of data values has a range of 8

B
The average distance of all data values from the mean is 10 and the middle 50% of data values has a range of 20

C
The average distance of all data values from the mean is 6 and the middle 50% of data values has a range of 14

D
The average distance of all data values from the mean is 14 and the middle 50% of data values has a range of 6

Answer 1

"The average distance of all data values from the mean is 6 and the middle 50% of data values has a range of 14" best describes the spread of a set of data that has an interquartile range of 14 and a mean absolute deviation of 6. The correct option among all the options given in the question is the third option or option "C".