What is the mean absolute deviation for the set of data below? 2, 8, 10, 16

Question

asked Mar 17, 2019 150k views

2 Answers

Mustafa DOGRU · Answer 1 · 2019-03-23T15:59:31+0000

Solution: We are given below data:

2, 8, 10, 16

Now to find the mean deviation, we use the below formula:

$MD= \frac{\sum|X-\bar{X}|}{N}$

Where:

$\sum,$ represents the summation

X, represents the observation.

$\bar{X},$ represents the mean

N represents the number of observation.

$\bar{X}= \frac{\sum{X}}{N}= (2+8+10+16)/(4)=9$

$\sum |X-\bar{X}| = |2-9| + |8-9| +|10-9| +|16-9|=7+1+1+7=16$

Therefore, the mean deviation is:

MD= (16)/(4)

= 4