Statistics calculator

Population Standard Deviation of Five Values

Calculate population standard deviation using the population standard deviation of five values formula.

Value 1Value 2Value 3Value 4Value 5Population mean

Population standard deviation: -

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Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Reference: Formulae and Tables, State Examinations Commission (2014), page 34.

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How the Population Standard Deviation of Five Values works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 34. Enter values in consistent units.

Formula and inputs

Math.sqrt(((x1-mean) × (x1-mean)+(x2-mean) × (x2-mean)+(x3-mean) × (x3-mean)+(x4-mean) × (x4-mean)+(x5-mean) × (x5-mean)) ÷ 5)

Inputs: Value 1, Value 2, Value 3, Value 4, Value 5, Population mean.

Using the result

The result is rounded to 4 decimal places. Check units, assumptions and significant figures before using the answer.