Question

Aiden surveyed the students on his bus to find out how many minutes they spent on their homework last night.
Minutes Spent on Homework: 10,5,15,20,40,30
The mean of this data set is 20
What is the sum of the deviations?

Answer 1

The deviations from the mean can be found by subtracting the mean from each data point:

10 - 20 = -10
5 - 20 = -15
15 - 20 = -5
20 - 20 = 0
40 - 20 = 20
30 - 20 = 10

The sum of the deviations is -10 + (-15) + (-5) + 0 + 20 + 10 = -10 - 15 - 5 + 20 + 10 = 30.

Therefore, the sum of the deviations is 30.