what is the mean absolute deviation (mad) of the data set? 2, 6, 8, 12, 12 enter your answer as a decimal in…
what is the mean absolute deviation (mad) of the data set? 2, 6, 8, 12, 12 enter your answer as a decimal in the box.
Answer
Explanation:
Step1: Calculate the mean
The mean $\bar{x}=\frac{2 + 6+8 + 12+12}{5}=\frac{40}{5}=8$.
Step2: Calculate the absolute - deviations
$|2 - 8|=6$, $|6 - 8|=2$, $|8 - 8|=0$, $|12 - 8|=4$, $|12 - 8|=4$.
Step3: Calculate the mean of absolute - deviations
$MAD=\frac{6 + 2+0 + 4+4}{5}=\frac{16}{5}=3.2$.
Answer:
$3.2$