Question

my ixl learning asser
de > jj.6 calculate mean absolute deviation juv
learn with an example or
in the data set below, what is the mean absolute deviation?
6 8 2 8 3 1 7
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: $6 + 8 + 2 + 8 + 3 + 1 + 7 = 35$
Then divide by the number of data points ($n=7$):
$\text{Mean} = \frac{35}{7} = 5$

Step2: Find absolute deviations

Calculate $|x_i - \text{Mean}|$ for each value:
$|6-5|=1$, $|8-5|=3$, $|2-5|=3$, $|8-5|=3$, $|3-5|=2$, $|1-5|=4$, $|7-5|=2$

Step3: Sum the absolute deviations

Add the results: $1 + 3 + 3 + 3 + 2 + 4 + 2 = 18$

Step4: Compute the MAD

Divide the sum by $n=7$:
$\text{MAD} = \frac{18}{7} \approx 2.3$

Answer:

2.3