To calculate the mean absolute deviation (MAD) of the data set, we first need to find the absolute deviations of each data point from the mean, and then find the mean of those absolute deviations.
Absolute deviations:
|20 - 22| = 2
|12 - 22| = 10
|27 - 22| = 5
|23 - 22| = 1
|18 - 22| = 4
|20 - 22| = 2
|30 - 22| = 8
|26 - 22| = 4
To find the mean absolute deviation, we calculate the average of these absolute deviations:
(2 + 10 + 5 + 1 + 4 + 2 + 8 + 4) / 8 = 36 / 8 = 4.5
Therefore, the mean absolute deviation of the data set is 4.5 hours.
The data below show the numbers of hours Mrs. Diaz volunteered at the library each month for eight months
20, 12, 27, 23, 18, 20, 30, 26
The mean of the data set is 22 hours. What is the mean absolute deviation of the data?
1 answer