Question

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

Answer 1

Answer:

4 \

Step-by-step explanation:

Answer 2

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.

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

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

Therefore, the mean deviation is:

$MD= \frac{16}{4}$

        = 4