Question

Which best describes the spread of a set of data that has an interquartile range of 12 and a mean absolute deviation of 8

A.
The average distance of all data values from the mean is 12 and the middle 50% of data values has a range of 8

B.
The average distance of all data values from the mean is 8 and the middle 50% of data values has a range of 12
C.
The average distance of all data values from the mean is 10 and the middle 50% of data values has a range of 4

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

Answer 1

The correct answer of the given question above would be option B.  The best option that describes the spread of a set of data that has an interquartile range of 12 and a mean absolute deviation of 8 is that, the average distance of all data values from the mean is 8 and the middle 50% of data values has a range of 12.