Question

given two data - sets, set a: {5, 6, 7, 8} and set b: {6, 7, 8, 9}. the mean absolute deviation (mad) of set a is 0.75 and the mad of set b is 0.5. what does the difference in these mad values indicate? a) set b is more spread out than set a. b) set a is more spread out than set b. c) both sets are equally spread out. d) the data in both sets are identical.

Explanation:

Step1: Understand MAD concept

The Mean - Absolute - Deviation (MAD) measures the spread of a data - set. A larger MAD indicates a more spread - out data - set.

Step2: Compare MAD values

Given that the MAD of Set A is 0.75 and the MAD of Set B is 1.0. Since 1.0>0.75, Set B has a larger MAD.

Answer:

A. Set B is more spread out than Set A