Question

in the data set below, what is the mean absolute deviation
1 1 8 9 4
if the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (mad):
submit

Explanation:

Step1: Calculate the mean

First, find the average of the data set.
$$\text{Mean} = \frac{1+1+8+9+4}{5} = \frac{23}{5} = 4.6$$

Step2: Find absolute deviations

Compute the absolute difference between each data point and the mean.
$|1-4.6|=3.6$, $|1-4.6|=3.6$, $|8-4.6|=3.4$, $|9-4.6|=4.4$, $|4-4.6|=0.6$

Step3: Calculate MAD average

Find the mean of the absolute deviations.
$$\text{MAD} = \frac{3.6+3.6+3.4+4.4+0.6}{5} = \frac{15.6}{5} = 3.2$$

Answer:

3.2