Question

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

Explanation:

Step1: Calculate the data mean

First, sum all values: $1+3+6+3+6+2=21$.
Then divide by count ($n=6$):
$\bar{x} = \frac{21}{6} = 3.5$

Step2: Find absolute deviations

Compute $|x_i - \bar{x}|$ for each value:
$|1-3.5|=2.5$, $|3-3.5|=0.5$, $|6-3.5|=2.5$,
$|3-3.5|=0.5$, $|6-3.5|=2.5$, $|2-3.5|=1.5$

Step3: Calculate MAD of deviations

Sum the absolute deviations:
$2.5+0.5+2.5+0.5+2.5+1.5=10$
Divide by $n=6$:
$\text{MAD} = \frac{10}{6} \approx 1.6$

Answer:

1.6