To find the mean absolute deviation, you need to find the average of the distances between each data point and the mean.
First, find the mean by summing all the numbers and dividing by the number of students: (32 + 43 + 38 + 28 + 51) / 5 = 192 / 5 = 38.4
Next, find the deviation of each data point from the mean:
|32 - 38.4| = 6.4
|43 - 38.4| = 4.6
|38 - 38.4| = 0.4
|28 - 38.4| = 10.4
|51 - 38.4| = 12.6
Find the mean of these deviations: (6.4 + 4.6 + 0.4 + 10.4 + 12.6) / 5 = 34.4 / 5 = 6.88
So, the mean absolute deviation is 6.88.
The correct answer is A) 6.88.
The list shows the number of songs that five students each downloaded last week.
32, 43, 38, 28, 51
What is the mean absolute deviation of the numbers in the list?
Responses
A 6.886.88
B 25.625.6
C 128128
D 12.8
1 answer
2 answers