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Find the sum of squares of the deviations from the mean of series of ACT scores listed below 24,27, 16, 30, and 13

User Heytools
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1 Answer

5 votes

Answer:

the sum of the squares of the deviations from the mean is 210.

Explanation:

To find the sum of the squares of the deviations from the mean, you first need to find the mean of the series:

Mean = (24 + 27 + 16 + 30 + 13) / 5 = 22

Now, find the deviation of each score from the mean:

24 - 22 = 2

27 - 22 = 5

16 - 22 = -6

30 - 22 = 8

13 - 22 = -9

Next, square each deviation:

2^2 = 4

5^2 = 25

(-6)^2 = 36

8^2 = 64

(-9)^2 = 81

Finally, add up the squared deviations:

4 + 25 + 36 + 64 + 81 = 210

User Cgr
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