Question

learn with an example or
in the data set below, what is the mean absolute deviation?
8 7 6 6 6 6 3
if the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (mad):

Explanation:

Step1: Calculate the data mean

First, sum all values, then divide by the count of values.
Sum: $8 + 7 + 6 + 6 + 6 + 6 + 3 = 42$
Count of values: $7$
Mean: $\frac{42}{7} = 6$

Step2: Find absolute deviations

Subtract the mean from each value, take absolute value.
$|8-6|=2$, $|7-6|=1$, $|6-6|=0$, $|6-6|=0$, $|6-6|=0$, $|6-6|=0$, $|3-6|=3$

Step3: Calculate MAD of deviations

Sum the absolute deviations, divide by count.
Sum of deviations: $2 + 1 + 0 + 0 + 0 + 0 + 3 = 6$
MAD: $\frac{6}{7} \approx 0.9$

Answer:

$0.9$