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Standard Deviation Calculator

Enter comma-separated numbers to calculate mean, median, mode, variance and standard deviation.

6 numbers detected
Sorted Dataset (6 values)
1247913
Count (n)
6
Sum
36
Range
12
Mean (μ)
6
Median
5.5
Mode
None
Population Variance (σ²)
17.333333
Divides by n
Sample Variance (s²)
20.8
Divides by n−1 (Bessel's correction)
Population Std Dev (σ)
4.163332
√(variance / n)
Sample Std Dev (s)
4.560702
√(variance / n−1)
Step-by-step: Variance calculation
Mean (μ) = (1 + 2 + 4 + 7 + 9 + 13) / 6 = 6
xx − μ(x − μ)²
4-24
711
13749
2-416
1-525
939
Sum of squared differences:104
σ² = 104 / 6 = 17.333333
s² = 104 / 5 = 20.8