Question

Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores

Answer 1

Answer:

The mean absolute deviation is: 7.44

Step-by-step explanation:

Given

$Scores: 98, 78, 84, 75, 91$

Required

The mean absolute deviation

First, calculate the mean

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{98+78+84+75+91}{5}$

$\bar x = \frac{426}{5}$

$\bar x = 85.2$

The mean absolute deviation (M) is:

$M = \frac{1}{n}\sum|x - \bar x|$

So, we have:

$M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)$

$M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)$

Remove absolute brackets

$M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)$

$M = \frac{1}{5}*37.2$

$M = 7.44$