Question

the mean absolute deviations for two sets of data are shown.

set	mad
2	0.2

the data points in set 1 are more dropdown the mean than the points in set 2 because the mean absolute deviation is dropdown with options: smaller, equal, larger.

Explanation:

Step1: Recall MAD concept

Mean Absolute Deviation (MAD) measures data spread around the mean. Larger MAD means data points are more spread out (farther from the mean), smaller MAD means data is closer to the mean.

Step2: Compare MAD values

Set 1 has MAD = 8.4, Set 2 has MAD = 0.2. Since 8.4 > 0.2, Set 1's data points are more spread out (farther from the mean) because its MAD is larger.

Answer:

The data points in Set 1 are more \(\boldsymbol{\text{spread out from}}\) the mean than the points in Set 2 because the mean absolute deviation is \(\boldsymbol{\text{larger}}\).