whats the mean absolute deviation of
5, 8, 9, 10, 12, 12, 14
To find the mean absolute deviation, we first need to find the mean of the numbers given:
(5 + 8 + 9 + 10 + 12 + 12 + 14) / 7 = 70 / 7 = 10
Now, we find the absolute deviations of each number from the mean:
|5 - 10| = 5
|8 - 10| = 2
|9 - 10| = 1
|10 - 10| = 0
|12 - 10| = 2
|12 - 10| = 2
|14 - 10| = 4
Next, we calculate the mean of these absolute deviations:
(5 + 2 + 1 + 0 + 2 + 2 + 4) / 7 = 16 / 7 ≈ 2.29
Therefore, the mean absolute deviation of the numbers 5, 8, 9, 10, 12, 12, 14 is approximately 2.29.