Question

polinas math scores are shown in the table.
polinas math scores
math scores 72 65 75 88 90
what is the mean absolute deviation of her math scores?
5.4
6.4
7.8
8.8

Explanation:

Step1: Calculate the mean

$\text{Mean}=\frac{72 + 65+75+88+90}{5}=\frac{390}{5}=78$

Step2: Calculate the absolute - deviations

$|72 - 78|=6$, $|65 - 78| = 13$, $|75 - 78|=3$, $|88 - 78| = 10$, $|90 - 78|=12$

Step3: Calculate the mean of the absolute - deviations

$\text{Mean Absolute Deviation}=\frac{6 + 13+3+10+12}{5}=\frac{44}{5}=8.8$

Answer:

8.8