Question

The mean absolute deviation about mean of 2, 3, 8, 5, 7 is
What

Answer 1

Answer:

5 is the mean

Explanation:

= 2+3+8+5+7 /5

= 25/5

= 5

Answer 2

The mean absolute deviation about mean of 2, 3, 8, 5, 7 is 2.

Explanation:

• The mean absolute deviation, basically is a average distance between each data point and the mean.
• Its formula is MAD = $\frac{|x_{i}-x' |}{n}$ where $x_{i}$ is the data point and $x'$ is the mean and n is the total count of the numbers.
• The arithmetic mean also known as the average can be found by combining all the series of numbers and dividing it by its sum.
• Therefore mean, $x'$ =$\frac{ 2+3+8+5+7}{5}$

                                     $x'=5.$

• For the data point $2$ ,we get $|5 - 2| = 3$.
• Similarly we will get $2,3,0,2$.
• Adding all these we will get the value 10.

• Therefore MAD = $\frac{10}{5}$ = $2$.