Statistics calculator

One Sample Z Statistic

Calculate z statistic using the one sample z statistic formula.

Sample meanHypothesized meanPopulation standard deviationSample size

Z statistic: -

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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 39.

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How the One Sample Z Statistic works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 39. Enter values in consistent units.

Formula and inputs

(sample_mean-pop_mean) ÷ (sd ÷ Math.sqrt(n))

Inputs: Sample mean, Hypothesized mean, Population standard deviation, Sample size.

Using the result

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