Question

the mean of data set a is 43.5 and the mad is 3.7. the mean of data set b is 12.8 and the mad is 4.1. a. which data set shows greater variability? explain your reasoning.

Explanation:

Step1: Recall MAD concept

MAD (Mean - Absolute - Deviation) measures variability. Larger MAD means more variability.

Step2: Compare MAD values

Data set A has MAD = 3.7, data set B has MAD = 4.1. Since 4.1>3.7.

Answer:

Data set B shows greater variability because its MAD (4.1) is larger than the MAD of data set A (3.7).