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the data below show the numbers of miles driven to work each day by the…

Question

the data below show the numbers of miles driven to work each day by the employees of a small company.
15, 25, 13, 15, 18, 20, 22, 24
the mean of the data is 19 miles. what is the mean absolute deviation of the data?
1.6
0.125
3.75
0

Explanation:

Step1: Find absolute deviations

$|15-19|=4$, $|25-19|=6$, $|13-19|=6$, $|15-19|=4$, $|18-19|=1$, $|20-19|=1$, $|22-19|=3$, $|24-19|=5$

Step2: Sum the absolute deviations

$4+6+6+4+1+1+3+5=30$

Step3: Calculate mean absolute deviation

$\frac{30}{8}=3.75$

Answer:

3.75