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How-to guide

How to Calculate Median: Formula, Steps & Examples

Learn how to calculate Median — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 1 min read

Calculating your median is straightforward once you know the Median formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Median Calculator.

What is Median?

The Median calculation tells you your median from a few simple inputs. The figure you are solving for here is the median.

The Median formula

This calculation combines several inputs through a multi-step method rather than a single one-line formula. Enter the values below and the calculator resolves each step in order. The inputs it needs are:

  • Numbers (comma or space separated) — a list of numbers (one per line). Example: 4, 8, 15, 16, 23, 42.

How to calculate it step by step

  • Write down the numbers (comma or space separated) (for example, 4, 8, 15, 16, 23, 42).
  • Apply the formula above to get your median.
  • Double-check the result with the Median Calculator.

Worked examples

Example 1

Input / OutputValue
Numbers (comma or space separated)4, 8, 15, 16, 23, 42
Median15.5000
Count6

With numbers (comma or space separated) of 4, 8, 15, 16, 23, 42, the median works out to 15.5000.

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Median Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.

Calculators in this guide

Frequently asked questions

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Median Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.