Statisticshard · Past Paper

If the sum of squares of deviations of 10 observations from their mean is 0, then:

AAll observations are zero
BMean is zero
CAll observations are identical
DCannot say

✓ Correct Answer: CAll observations are identical

Sum of squares of deviations is 0 only if every (x - mean)^2 is 0, meaning every x = mean.

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