Standard Deviation Calculator
Worked example result
| Mean | 5.00 |
| Population standard deviation (σ) | 2.00 |
| Sample standard deviation (s) | 2.14 |
| Population variance | 4.00 |
| Sample variance | 4.57 |
| Count | 8 |
| Deviation table | 2: 2−5 = -3, (2−5)² = 9 · 4: 4−5 = -1, (4−5)² = 1 · 4: 4−5 = -1, (4−5)² = 1 · 4: 4−5 = -1, (4−5)² = 1 · 5: 5−5 = 0, (5−5)² = 0 · 5: 5−5 = 0, (5−5)² = 0 · 7: 7−5 = 2, (7−5)² = 4 · 9: 9−5 = 4, (9−5)² = 16 |
This classic textbook data set has a mean of 5, a population variance of exactly 4 and a population standard deviation of exactly 2. As a sample, the variance is about 4.57 and the standard deviation about 2.14.
σ = √( Σ(x − μ)² ÷ n ) for a population; s = √( Σ(x − x̄)² ÷ (n − 1) ) for a sample · Powered by CalcHub — Standard Deviation Calculator