Question

What is the mean absolute deviation of the following set of data? Do not round your answer

78, 92, 98, 87, 86, 72, 92, 81, 86, 92

Answer 1

mean absolute deviation = 0

Explanation:

First, the mean is:
(78+92+98+87+86+72+92+81+86+92) /10 =864/10 = 86.4

The number of samples is 10

The Mean absolute deviation with samples =

(sum (| each value - the mean |) / (sample size - 1)
the Mean Absolute deviation = (|78-86.4 + 92-86.4 + 98-86.4 + 87-86.4 + 86-86.4 +72- 86.4 + 92-86.4 + 81-86.4 + 86-86.4 + 92-86.4|) / (10-1)

MAD = 0/ 9 = 0