Question

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

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{72 + 65+75 + 88+90}{5}=\frac{390}{5}=78$.

Step2: Calculate the absolute - deviations

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

Step3: Calculate the mean absolute deviation

The mean absolute deviation $MAD=\frac{6 + 13+3+10+12}{5}=\frac{44}{5}=8.8$.

Answer:

8.8