150k views
5 votes
What is the mean absolute deviation for the set of data below?

2, 8, 10, 16

2 Answers

4 votes

Answer:

4 \

Explanation:

User ThePuzzleMaster
by
8.2k points
5 votes

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

User Mustafa DOGRU
by
7.1k points

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