Question

What is the mean absolute deviation (MAD) of the data set? {2, 5, 6, 12, 15}

Answer 1

average : (2 + 5 + 6 + 12 + 15 / 5) = 40/5 = 8

| 2 - 8 | = 6
| 5 - 8 | = 3
| 6 - 8 | = 2
| 12 - 8 | = 4
| 15 - 8 | = 7

(6 + 3 + 2 + 4 + 7 / 5) =
22/5 = 4.4 <== ur mean absolute deviation

Answer 2

Mean absolute deviation : 4 .4

Explanation:

Given : {2, 5, 6, 12, 15}.

To find : What is the mean absolute deviation (MAD) of the data set.

Solution : We have given that {2, 5, 6, 12, 15}.

Mean :
`(2+5+6+12+15)/(5)`.

Mean :
`(40)/(5)`.

Absolute deviations: distance between each data point and the mean.

∣8−2∣=6

∣8−5∣=3.

∣8−6∣=2.

∣8−12∣= 4.

∣8−15∣=7.

Add the distances together:

6 +3 +2 +4 +7 = 22.

MAD : Divide the sum by the number of data points.

Mean absolute deviation :
`(6 +3 +2 +4 +7)/(5)`.

Mean absolute deviation :
`(22)/(5)`.

Mean absolute deviation : 4 .4

Therefore, Mean absolute deviation : 4 .4