Exercise 2: Sample Variance and Standard Deviation of 10, 12, 14 — Possible Solution
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GIVEN
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10, 12, 14

STEP 1: THE MEAN
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Mean = (10 + 12 + 14) / 3 = 36 / 3 = 12

STEP 2: EACH SQUARED DEVIATION
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(10 - 12)^2 = (-2)^2 = 4
(12 - 12)^2 = (0)^2  = 0
(14 - 12)^2 = (2)^2  = 4

STEP 3: SAMPLE VARIANCE (DIVIDING BY n-1)
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Sum of squared deviations = 4 + 0 + 4 = 8
n - 1 = 3 - 1 = 2

s^2 = 8 / 2 = 4

STEP 4: SAMPLE STANDARD DEVIATION
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s = sqrt(4) = 2

WHY THIS WORKS AS AN ANSWER
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The mean is computed first, each of the three squared deviations is
shown individually rather than summed silently, and the sample
variance is computed by dividing by n-1 = 2 (not n = 3) per this
chapter's own Bessel's-correction formula, with the standard deviation
following directly as its square root.