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Certified calculator · Version 1

Mean Median Mode Range Calculator

Enter a finite dataset to obtain its central-tendency and range summary from one deterministic calculation.

Mean2.25
Median2
Mode2
Range3
Count4
CalcuMint Pro

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Result methodology

Deterministic descriptive statistics from the validated dataset.

Solution steps
  1. Count = 4
  2. Mean = sum / count = 2.25
  3. Median = 2; range = 3

How this calculator works

Mean is Σx/n; median is the middle sorted value (or mean of the two middle values); modes are all values tied for the highest repeated frequency; range is maximum minus minimum.

Formula

mean=Σx/n; range=max−min

Computes common descriptive statistics from the supplied finite dataset.

Worked example

Simple dataset is a verified test case used by the calculation engine.

Assumptions and limitations

  • Every dataset value is a finite real number.
  • A dataset with no repeated value is reported as having no mode.
  • All tied highest-frequency values are returned for a multimodal dataset.

Methodology & sources

This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint.

  • CalcuMint deterministic statistics engine

Frequently asked questions

Can a dataset have more than one mode?

Yes. CalcuMint returns every value tied for the highest repeated frequency.

What happens when every value occurs once?

The calculator reports no mode rather than labeling every value a mode.

Related calculators

Standard Deviation CalculatorCalculate population or sample standard deviation and variance.Variance CalculatorCalculate population or sample variance with supporting standard deviation.Z-Score CalculatorStandardize a value using a supplied mean and positive standard deviation.