Question

in the data set below, what is the mean absolute deviation? 86 38 87 90 67 95 27 94 if the answer is a decimal, round it to the nearest tenth. mean absolute deviation (mad):

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{86 + 38+87 + 90+67+95+27+94}{8}=\frac{584}{8}=73$

Step2: Calculate the absolute - deviations

$|86 - 73|=13$, $|38 - 73| = 35$, $|87 - 73|=14$, $|90 - 73| = 17$, $|67 - 73|=6$, $|95 - 73| = 22$, $|27 - 73|=46$, $|94 - 73| = 21$

Step3: Calculate the mean of the absolute - deviations

$MAD=\frac{13+35+14+17+6+22+46+21}{8}=\frac{174}{8}=21.75\approx21.8$

Answer:

$21.8$