Question

in the data set below, what is the mean absolute deviation? 2 2 6 9 5 if the answer is a decimal, round it to the nearest tenth. mean absolute deviation (mad):

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{2 + 2+6 + 9+5}{5}=\frac{24}{5} = 4.8$.

Step2: Calculate the absolute - deviations

$|2 - 4.8|=2.8$, $|2 - 4.8|=2.8$, $|6 - 4.8| = 1.2$, $|9 - 4.8|=4.2$, $|5 - 4.8|=0.2$.

Step3: Calculate the mean of the absolute - deviations

$MAD=\frac{2.8+2.8 + 1.2+4.2+0.2}{5}=\frac{11.2}{5}=2.24$.

Step4: Round to the nearest tenth

Rounding $2.24$ to the nearest tenth gives $2.2$.

Answer:

$2.2$