Question

learn with an example or wa
in the data set below, what is the mean absolute deviation?
2 3 4 2 7
if the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (mad):
submit

Explanation:

Step1: Calculate the data mean

$\text{Mean} = \frac{2 + 3 + 4 + 2 + 7}{5} = \frac{18}{5} = 3.6$

Step2: Find absolute deviations

$|2-3.6|=1.6$, $|3-3.6|=0.6$, $|4-3.6|=0.4$, $|2-3.6|=1.6$, $|7-3.6|=3.4$

Step3: Calculate MAD of deviations

$\text{MAD} = \frac{1.6 + 0.6 + 0.4 + 1.6 + 3.4}{5} = \frac{7.6}{5} = 1.52$

Step4: Round to nearest tenth

$1.52 \approx 1.5$

Answer:

1.5