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Statistics calculator

Summarize a dataset with mean, median, modes, quartiles and population and sample dispersion.

Get started

  1. Use the example values or enter your own measurements.
  2. Calculate, then copy the result or download the available details.

Example

Input

2, 4, 4, 6, 9

Expected result

Mean 5, median 4

Try it

Good to know

The calculation runs in your browser. Use consistent units in fields with no explicit unit.

Calculation method

Quartiles use linear interpolation at (n−1)p. Population variance divides by n and sample variance by n−1. Enter up to 1,000 values separated by commas or whitespace.

xˉ=1n∑i=1nxi,s=∑i(xi−xˉ)2n−1\bar x=\frac{1}{n}\sum_{i=1}^{n} x_i,\qquad s=\sqrt{\frac{\sum_i(x_i-\bar x)^2}{n-1}}
SE⁡(xˉ)=sn,xˉ±zSE⁡(xˉ)\operatorname{SE}(\bar x)=\frac{s}{\sqrt n},\qquad \bar x\pm z\operatorname{SE}(\bar x)

Use sample standard deviation for a subset of a population and population standard deviation for a complete set. The confidence table shows the normal approximation for the mean at several confidence levels.

Calculation mode

Dataset summary
  • Values
Sample standard deviation
  • Values
Population standard deviation
  • Values