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How-to guide

How to Calculate Trapezoid Median: Formula, Steps & Examples

Learn how to calculate Trapezoid 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 · 2 min read

Calculating your median (midsegment) is straightforward once you know the Trapezoid 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 Trapezoid Median Calculator.

What is Trapezoid Median?

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

The Trapezoid Median formula

The core formula is:

Median (midsegment) = (Parallel side a + Parallel side b) ÷ 2

Here is what each input means:

  • Parallel side a — a number. Example: 10.
  • Parallel side b — a number. Example: 6.

How to calculate it step by step

  • Write down the parallel side a (for example, 10).
  • Write down the parallel side b (for example, 6).
  • Apply the formula above to get your median (midsegment).
  • Double-check the result with the Trapezoid Median Calculator.

Worked examples

Example 1

Input / OutputValue
Parallel side a10
Parallel side b6
Median (midsegment)8.0000

With parallel side a of 10 and parallel side b of 6, the median (midsegment) works out to 8.0000.

Example 2

With parallel side a of 20 and parallel side b of 6, the median (midsegment) works out to 13.0000.

ResultValue
Median (midsegment)13.0000

Example 3

With parallel side a of 5 and parallel side b of 6, the median (midsegment) works out to 5.5000.

ResultValue
Median (midsegment)5.5000

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 Trapezoid 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

The formula is: Median (midsegment) = (Parallel side a + Parallel side b) ÷ 2. With parallel side a of 10 and parallel side b of 6, the median (midsegment) works out to 8.0000.

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 Trapezoid 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.