Question

sixth grade > jj.6 calculate mean absolute deviation juv
in the data set below, what is the mean absolute deviation?
6 1 5 8 5
if the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (mad):

Explanation:

Step1: Calculate the data mean

$\text{Mean} = \frac{6 + 1 + 5 + 8 + 5}{5} = \frac{25}{5} = 5$

Step2: Find absolute deviations

$|6-5|=1$, $|1-5|=4$, $|5-5|=0$, $|8-5|=3$, $|5-5|=0$

Step3: Calculate MAD of deviations

$\text{MAD} = \frac{1 + 4 + 0 + 3 + 0}{5} = \frac{8}{5} = 1.6$

Answer:

1.6