Answer:
The MAD of the set 2 is greater than the MAD of the set 1.
Step-by-step explanation:
The given data set is:
Set 1. 5, 10, 7, 2
Let us first find the mean of the given data set, that is
Now, find the distance between each data point and the mean.
Data point Distance from mean
5 |12-5|=7
10 |12-10|=2
7 |12-7|=5
2 |12-2|=10
Now, Add the distances together and Divide the sum by the number of data points, thus
Thus, the Mean absolute deviation of set 1 is 12.
The given set is:
Set 2. 5, 10, 7, 42
Let us first find the mean of the given data set, that is
Now, find the distance between each data point and the mean.
Data point Distance from mean
5 |32-5|=27
10 |32-10|=22
7 |32-7|=25
42 |32-42|=10
Now, Add the distances together and Divide the sum by the number of data points, thus
Thus, the Mean absolute deviation of set 1 is 42.
Therefore, the MAD of the set 2 is greater than the MAD of the set 1.