Standard deviation calculator (and variance) (embed) | StatsLearn

Data valuesSeparate with commas, spaces, or new lines.

sample standard deviation (s)

4.4721

Variance: 20

Steps

1.n = 5, mean = (4 + 7 + 8 + 10 + 16) / 5 = 9
2.deviations from the mean: -5, -2, -1, 1, 7
3.squared deviations: 25, 4, 1, 1, 49
4.sum of squared deviations = 80
5.variance = 80 / 4 = 20 (divide by n - 1 for a sample)
6.standard deviation = sqrt(20) = 4.4721

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