Question

finding the mean absolute deviation
evelyns scores
distance from the mean
125 13
137 1
138 0
145 7
145 7
what is the mean absolute deviation of evelyns scores?
o 5.1
o 5.6
o 5.8
o 7

Explanation:

Step1: Recall the formula for mean - absolute - deviation

The formula for the mean - absolute - deviation (MAD) of a data set is $MAD=\frac{\sum_{i = 1}^{n}|x_{i}-\bar{x}|}{n}$, where $|x_{i}-\bar{x}|$ is the absolute - deviation of each data point from the mean and $n$ is the number of data points. Here, the values of $|x_{i}-\bar{x}|$ are already given as 13, 1, 0, 7, 7 and $n = 5$.

Step2: Calculate the sum of the absolute - deviations

$\sum_{i = 1}^{5}|x_{i}-\bar{x}|=13 + 1+0 + 7+7=28$.

Step3: Calculate the mean - absolute - deviation

$MAD=\frac{28}{5}=5.6$.

Answer:

5.6