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Statistics

Mean, median & variation Calculator

Compare average, range, population and sample variation. This free mean, median & variation calculator shows the calculation and its assumptions so you can compare your own figures.

Calculated on your device
Up to 10,000 finite signed observations.

Your results

Mean14

Compare average, range, population and sample variation.

Median14

Calculated outcomes

Count
5
Minimum
€10.00
Maximum
18
Population Variance
8
Population Standard Deviation
2.8284
Sample Variance
10
Sample Standard Deviation
3.1623

Assumptions and estimates

  • Population variance divides by n; sample variance divides by n−1. A one-observation sample has undefined sample variance. Observations are signed numbers.
  • Method: Population variance divides squared deviations by n; sample variance divides by n − 1.
  • A one-observation sample has no defined sample variance. This tool summarises numbers; it does not establish statistical significance.

Useful next steps

  1. Use Compare options to test an alternative side by side.
  2. Copy, print or download a record of this calculation when you need one.

Reports open your email app addressed to s@s1.ie with the public page address only. Your inputs are never added.

How the mean, median & variation calculation works

Population variance divides squared deviations by n; sample variance divides by n − 1.

A one-observation sample has no defined sample variance. This tool summarises numbers; it does not establish statistical significance.

Using this calculator

  1. Enter your own figures in the labelled inputs. Keep the currencies, units and time periods consistent.
  2. Choose any applicable rate profile, pattern or assumption shown for this tool. Open additional inputs when relevant.
  3. Review mean and median, then read the stated assumptions and eligibility conditions before using the result.

Worked example

This is a static example using illustrative inputs, not facts about you or today’s date. The displayed eligibility selections and assumptions apply only to this example.

See example inputs
Numbers separated by commas or whitespace
10, 12, 14, 16, 18
Mean
14
Median
14

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