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Statistics Calculator

Full descriptive statistics with quartiles, spread and outliers.

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Distribution

Outliers

Values beyond 1.5 × IQR from the quartiles.

—

Centre

Mean—
Median—
Mode—
Midrange—

Spread

Range—
Variance (sample)—
Std deviation (sample)—
Variance (population)—
Std deviation (population)—
Coefficient of variation—

Five-number summary

Minimum—
Q1—
Median (Q2)—
Q3—
Maximum—
IQR—

Shape and totals

Count—
Sum—
Skewness—

Quick Tool Overview

The Statistics Calculator produces a full descriptive summary of a data set in one pass: count, sum, mean, median, mode, range, variance, standard deviation, the five-number summary, the interquartile range and the outliers. Both sample and population forms are shown, because choosing the wrong one is the classic introductory mistake.

What it does
Computes full descriptive statistics for a list of numbers
You give it
Numbers separated by commas, spaces or line breaks
You get back
Every summary statistic, outliers and a shape histogram
Best for
Coursework, lab data, survey results and quick analysis
Calculators Free, unlimited use No sign-up Runs in your browser

About the Statistics Calculator

Paste a list of numbers and get the full descriptive summary in one pass: count, sum, mean, median, mode, range, variance, standard deviation, the five-number summary and the interquartile range.

Outliers are identified using the standard 1.5 times IQR rule and listed separately, because spotting them is usually the first useful thing you do with a data set. Skewness tells you which way the distribution leans, and a text histogram gives you the shape at a glance. Both the sample and population forms of variance and standard deviation are shown, since choosing the wrong one is the most common error in an introductory statistics course.

Key features of the Statistics Calculator

The whole summary at once

Centre, spread and shape are reported together instead of one statistic per calculation.

Outliers identified

The standard 1.5 × IQR rule is applied and the offending values are listed, which is usually the first useful thing you do with a data set.

Sample and population forms

Both versions of variance and standard deviation are shown, so you can pick the right one deliberately.

Five-number summary

Minimum, Q1, median, Q3 and maximum, plus the interquartile range, ready for a box plot.

Skewness and a text histogram

Which way the distribution leans, and its shape at a glance, without opening a spreadsheet.

How to use the Statistics Calculator

  1. 1

    Paste your data

    Separate values with commas, spaces or line breaks. A spreadsheet column pastes straight in.

  2. 2

    Read the summary

    Every descriptive statistic is calculated at once, grouped into centre, spread and shape.

  3. 3

    Check the outliers

    Values beyond 1.5 times the interquartile range from the quartiles are flagged and listed.

Frequently asked questions

The minimum, first quartile, median, third quartile and maximum. Together they describe the centre and spread of a data set and are what a box plot is drawn from.

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