find the mean absolute deviation of each data set. round to the nearest tenth if necessary. the scores on a…

Explanation:

Step1: Calculate the mean

First, sum all the data values: $94 + 82+86 + 60+52+100+74+98+88+92+84+64+72+88+96=1240$. There are $n = 15$ data - points. The mean $\bar{x}=\frac{1240}{15}\approx82.7$.

Step2: Calculate the absolute deviations

Find the absolute deviation of each data - point from the mean. For example, for $94$: $|94 - 82.7|=11.3$; for $82$: $|82 - 82.7| = 0.7$; for $86$: $|86 - 82.7|=3.3$; for $60$: $|60 - 82.7| = 22.7$; for $52$: $|52 - 82.7|=30.7$; for $100$: $|100 - 82.7| = 17.3$; for $74$: $|74 - 82.7|=8.7$; for $98$: $|98 - 82.7| = 15.3$; for $88$: $|88 - 82.7|=5.3$; for $92$: $|92 - 82.7| = 9.3$; for $84$: $|84 - 82.7|=1.3$; for $64$: $|64 - 82.7| = 18.7$; for $72$: $|72 - 82.7|=10.7$; for $88$: $|88 - 82.7|=5.3$; for $96$: $|96 - 82.7| = 13.3$.

Step3: Calculate the mean of the absolute deviations

Sum all the absolute deviations: $11.3+0.7 + 3.3+22.7+30.7+17.3+8.7+15.3+5.3+9.3+1.3+18.7+10.7+5.3+13.3 = 174.5$. Then, the mean absolute deviation $MAD=\frac{174.5}{15}\approx11.6$.

Answer:

$11.6$