Question

What is the mean absolute deviation?

Answer 1

0.8 cm

Explanation:

The formula for MAD is attached in the picture.

x_i are the values (data)

x bar is the mean

n is the number of numbers (data)

For figuring out MAD, basically, we subtract the mean from each of the values respectively and take the absolute value and SUM for all of the numbers in the data set. Then we divide by n, the number of numbers.

Let's do this:

MAD =
`(|2-3|+|2-3|+|2-3|+|2-3|+|3-3|+|3-3|+|3-3|+|4-3|+|4-3|+|5-3|)/(10)\\=(1+1+1+1+0+0+0+1+1+2)/(10)\\=(8)/(10)=0.8`

MAD is 0.8