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