Question

learn with an example or
in the data set below, what is the mean absolute deviation?
8 6 2 5 4 4 6
if the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (mad):
submit

Explanation:

Step1: Calculate the mean

$$\text{Mean} = \frac{8+6+2+5+4+4+6}{7} = \frac{35}{7} = 5$$

Step2: Find absolute deviations

Calculate $|x_i - \text{Mean}|$ for each value:
$|8-5|=3$, $|6-5|=1$, $|2-5|=3$, $|5-5|=0$, $|4-5|=1$, $|4-5|=1$, $|6-5|=1$

Step3: Calculate MAD of deviations

$$\text{MAD} = \frac{3+1+3+0+1+1+1}{7} = \frac{10}{7} \approx 1.7$$

Answer:

1.7