Number Set Median Calculator

Sort a number set and find its middle value or the average of its two middle values.

How to use Number Set Median Calculator

1. Enter Number Set Values as matching lists where weights are used; separate numbers with commas, spaces, semicolons or new lines. 2. Keep all observations on one unit or scoring scale. 3. Select Calculate or press Enter, then read median. 4. Copy result copies the answer; Reset clears the form. Do not use thousands separators inside lists.

Why use this tool?

Find the central ranked value in a maths exercise and compare it with the arithmetic mean.

How the calculation works

Sort the observations. For an odd count, return the middle value; for an even count, average the two middle values. Entries are ordinary numbers. The result describes only the supplied list and makes no claim about a wider population. Results use up to six decimal places, or six significant digits in scientific notation for nonzero magnitudes below 0.000001. Calculations use browser floating-point arithmetic. Each list supports up to 20,000 numbers. Entry and result magnitudes must not exceed 9,007,199,254,740,991; unrepresentable variance or weighted products are rejected. General descriptive-statistics reference: https://www.itl.nist.gov/div898/handbook/eda/section3/eda351.htm. Weighted conventions are defined explicitly on this page.

Example

For number set 1,2,3,10, the median is 2.5.

Practical tip

The median describes the centre by rank. Keep repeated observations when they are real readings rather than accidental duplicate entries.