Answer:
The mean absolute deviation is the mean distance of each value in the data set from the mean value of the data set. To find the mean absolute deviation, first find the mean of the data set.
The sum of the values in the data set is 15 + 20 + 25 + 15 + 0 + 15 + 30 + 40 + 35 + 20 + 15 + 25 + 30 + 10 + 5 = 300. The number of values in the data set is 15.
Calculate the mean of the data set using this formula:
mean .
Next, find the absolute deviation of each value in the data set from the mean by subtracting each value from the mean and taking the absolute value.
Astrid's Scores
Absolute Deviation from Mean Score
|mean – individual score|
15
5
20
0
25
5
15
5
0
20
15
5
30
10
40
20
35
15
20
0
15 5
25 5
30 10
10 10
5 15
sum of absolute deviations 130
mean absolute deviation
or
The mean absolute deviation of Astrid's data set is or .
Step-by-step explanation:
