Standard Deviation Calculator

Enter up to 10,000 numbers separated by spaces or commas. Use a dot for decimals. Population variance divides by n; sample variance divides by n−1 and needs at least two values.

Results

Enter your values and select Calculate.

σ=∑i(xi−xˉ)2n,s=∑i(xi−xˉ)2n−1\sigma=\sqrt{\frac{\sum_i(x_i-\bar{x})^2}{n}},\quad s=\sqrt{\frac{\sum_i(x_i-\bar{x})^2}{n-1}}

How it works

Enter up to 10,000 numbers separated by spaces or commas. Use a dot for decimals. Population variance divides by n; sample variance divides by n−1 and needs at least two values.

σ=∑i(xi−xˉ)2n,s=∑i(xi−xˉ)2n−1\sigma=\sqrt{\frac{\sum_i(x_i-\bar{x})^2}{n}},\quad s=\sqrt{\frac{\sum_i(x_i-\bar{x})^2}{n-1}}

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