Suppose that a sample of 10 observations has a standard deviation of 3,then the sum of the squared deviations from the sample mean is 30.

Question

Quizplus · Accepted Answer

The sum of the squared deviations from the sample mean is equal to the sample size multiplied by the sample variance. The formula is:
Σ(x- x̄)² = (n-1)s²
where Σ is the summation symbol, x is each individual observation, x̄ is the sample mean, n is the sample size, s is the sample standard deviation. 
Plugging in the given values, we get:
30 = (10-1)(3²)
30 = 81
This is clearly false, so the answer is B.

Suppose That a Sample of 10 Observations Has a Standard