To find the mean absolute deviation, follow these steps:
1. Find the mean of the dataset:
(109 + 89 + 112 + 98 + 101 + 105 + 120 + 106) / 8 = 103.75
2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value:
|109 - 103.75| = 5.75
|89 - 103.75| = 14.75
|112 - 103.75| = 8.25
|98 - 103.75| = 5.75
|101 - 103.75| = 2.75
|105 - 103.75| = 1.25
|120 - 103.75| = 16.25
|106 - 103.75| = 2.25
3. Find the average of these absolute deviations:
(5.75 + 14.75 + 8.25 + 5.75 + 2.75 + 1.25 + 16.25 + 2.25) / 8 = 6.8125
Therefore, the mean absolute deviation of the dataset is 6.8.
Mean Absolute Deviation Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
The number of words Mr. Ahmad’s students read per minute is 109, 89, 112, 98, 101, 105, 120, 106. What is the mean absolute deviation of the dataset? Round the answer to the nearest tenth.(1 point)
1 answer