234k views
1 vote
Find the mean absolute deviation of the data set below.21, 26, 46, 44, 22

Find the mean absolute deviation of the data set below.21, 26, 46, 44, 22-example-1

1 Answer

6 votes

Step-by-step explanation

To get the mean absolute deviation, we will

Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values.

Compute the mean absolute deviation by dividing the sum above by the total number of values in the data set.

For the given set


21,26,46,44,\text{ and 22}

First, we have the mean as


(21+26+46+44+22)/(5)=31.8

Next, we calculate the deviation and the absolute values


|21-31.8|+|26-31.8|+|46-31.8|+|44-31.8|+|22-31.8|

From the above, we have the mean absolute deviation as


10.8+5.8+14.2+12.2+9.8=52.8

Finally, we divide the answer above by 5 (mean)

The mean absolute deviation is:


(52.8)/(5)=10.56

The answer is 10.56

User Esad
by
6.9k points