MCPCalc

Standard Deviation Calculator

Compute population and sample standard deviation from up to five values.

Scratchpad (not saved)

What This Calculator Does

Compute population and sample standard deviation from up to five values.

It combines Value 1, Value 2, Value 3, Value 4 to estimate Population SD, Sample SD.

Formula & Method

Core equations: Population σ=1N∑(xi−μ)2\sigma=\sqrt{\frac{1}{N}\sum(x_i-\mu)^2}; sample s=1n−1∑(xi−xˉ)2s=\sqrt{\frac{1}{n-1}\sum(x_i-\bar{x})^2}.

Notation used in the formulas: RR = Population SD; x1x_{1} = Value 1; x2x_{2} = Value 2; x3x_{3} = Value 3; x4x_{4} = Value 4; x5x_{5} = Value 5.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use this calculator for quick scenario analysis. Start with baseline values, change one driver at a time, and compare how sensitive the results are to each input shown above.

Reference Book

Introduction to Mathematical Statistics

Global Edition

Robert V. Hogg, Joseph McKean, and Allen T. Craig · Pearson

A standard reference for probability distributions, estimation, hypothesis testing, regression, and ANOVA.

View Book

Inputs Used

  • Value 1: Used directly in the calculation.
  • Value 2: Used directly in the calculation.
  • Value 3: Used directly in the calculation.
  • Value 4: Used directly in the calculation.
  • Value 5: Used directly in the calculation.

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