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