Question

question 1 (1 point)
in the data set below, what is the mean absolute deviation?
4 6 6 3 2
if the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (mad):

Explanation:

Step1: Calculate the mean

$\bar{x}=\frac{4 + 6+6+3+2}{5}=\frac{21}{5} = 4.2$

Step2: Calculate absolute - deviations

$|4 - 4.2|=0.2$, $|6 - 4.2| = 1.8$, $|6 - 4.2|=1.8$, $|3 - 4.2| = 1.2$, $|2 - 4.2|=2.2$

Step3: Calculate MAD

$MAD=\frac{0.2+1.8+1.8+1.2+2.2}{5}=\frac{7.2}{5}=1.44\approx1.4$

Answer:

$1.4$