Question

the data set shows the number of people who attended the last 8 town meetings: 62, 70, 58, 76, 84, 110, 86, 54. what is the mean absolute deviation of the data? enter the answer. mean absolute deviation is

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{62 + 70+58+76+84+110+86+54}{8}=\frac{600}{8} = 75$.

Step2: Calculate the absolute - deviations

$|62 - 75|=13$, $|70 - 75| = 5$, $|58 - 75|=17$, $|76 - 75| = 1$, $|84 - 75|=9$, $|110 - 75| = 35$, $|86 - 75|=11$, $|54 - 75|=21$.

Step3: Calculate the mean of the absolute - deviations

The mean absolute deviation $MAD=\frac{13 + 5+17+1+9+35+11+21}{8}=\frac{112}{8}=14$.

Answer:

14