Question

in the data set below, what is the mean absolute deviation?
2 9 5 4 9 7
if the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (mad):
submit

Explanation:

Step1: Calculate the mean

First, sum all values: $2 + 9 + 5 + 4 + 9 + 7 = 36$
Then divide by the count: $\frac{36}{6} = 6$

Step2: Find absolute deviations

Calculate $|x_i - \text{mean}|$ for each value:
$|2-6|=4$, $|9-6|=3$, $|5-6|=1$, $|4-6|=2$, $|9-6|=3$, $|7-6|=1$

Step3: Calculate MAD of deviations

Sum the deviations: $4 + 3 + 1 + 2 + 3 + 1 = 14$
Divide by the count: $\frac{14}{6} \approx 2.3$

Answer:

2.3