Math & Percentages

Median Calculator

Math & Percentages

Median Calculator

Live answer24 median7 values sorted: 12, 18, 21, 24, 30, 34, 39 · middle position 4: 24

Value 1Enter the numbers to compare. Use the active count field to choose how many values are included.Value 2Value 3Value 4Value 5Value 6Value 7How many values to include (2 to 7)Use 2 through 7. Extra value boxes are ignored when the active count is lower.

Live result24 median7 values sorted: 12, 18, 21, 24, 30, 34, 39 · middle position 4: 24

Formula used

Sort the included values from lowest to highest. If n is odd, median = value at position (n + 1) ÷ 2. If n is even, median = average of values at positions n ÷ 2 and n ÷ 2 + 1.

This is the method behind the answer, so the result can be checked rather than simply trusted.

Live math canvas

Your numbers, formula and explanation together

Median Calculator: 24 median. 7 values sorted: 12, 18, 21, 24, 30, 34, 39 · middle position 4: 24

Formula applied

The exact method behind this answer

CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.

Sort the included values from lowest to highest. If n is odd, median = value at position (n + 1) ÷ 2. If n is even, median = average of values at positions n ÷ 2 and n ÷ 2 + 1.

Apply the formulaSort the included values from lowest to highest. If n is odd, median = value at position (n + 1) ÷ 2. If n is even, median = average of values at positions n ÷ 2 and n ÷ 2 + 1.24 median7 values sorted: 12, 18, 21, 24, 30, 34, 39 · middle position 4: 24

Your live breakdown

Current inputs in the calculation

These values come from the controls above and update when the calculator changes.

Value 1: 12
Value 2: 18
Value 3: 21
Value 4: 24
Value 5: 30
Value 6: 34
Value 7: 39
How many values to include: 7 2 to 7

Resulting answer

24 median

7 values sorted: 12, 18, 21, 24, 30, 34, 39 · middle position 4: 24

Answer: 24 median
Live support: 7 values sorted: 12, 18, 21, 24, 30, 34, 39 · middle position 4: 24

Assumptions used

What this answer assumes

Best for small lists, classroom worksheets, quick survey summaries and outlier-resistant comparisons.

The active count is rounded to a whole number from 2 to 7.
Only Value 1 through the active count are included; later boxes are ignored.
Negative values, decimals and repeated values are allowed because the median depends on order, not on positive-only quantities.
This page calculates the simple median of the entered list; grouped frequency tables and weighted medians need a separate method.

Master’s Tip

How to use the result well

Master’s Tip: print the sorted list beside the answer. The median is robust against very high or very low outliers, but only if the values being included are clear and the count is not accidentally wrong.

Printable record

What belongs in the saved calculation

Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.

Value 1: 12
Value 2: 18
Value 3: 21
Value 4: 24

Visual grid

This number is one point on a larger pattern

Median is not just a final answer. It is a step on a line: before and after, input and output, assumption and result.

Micro-timehours, minutes, shiftsHuman scaledays, weeks, projectsMacro-timemonths, years, calendars

InputFormulaResult

24 median

CalculationTime keeps the path visible: the input, the method and the final number belong together.

24 median7 values sorted: 12, 18, 21, 24, 30, 34, 39 · middle position 4: 24

Inputs

Value 1: 12
Value 2: 18
Value 3: 21
Value 4: 24
Value 5: 30
Value 6: 34
Value 7: 39
How many values to include: 7 2 to 7

Method

Sort the included values from lowest to highest. If n is odd, median = value at position (n + 1) ÷ 2. If n is even, median = average of values at positions n ÷ 2 and n ÷ 2 + 1.

For 12, 18, 21, 24, 30, 34 and 39, the sorted list is already in order. There are 7 values, so the median position is (7 + 1) ÷ 2 = 4. The 4th value is 24.

Assumptions

The active count is rounded to a whole number from 2 to 7.
Only Value 1 through the active count are included; later boxes are ignored.
Negative values, decimals and repeated values are allowed because the median depends on order, not on positive-only quantities.
This page calculates the simple median of the entered list; grouped frequency tables and weighted medians need a separate method.

Notes

Use this space on the printed report for client, supplier, classroom, job-location, measurement, quote or approval notes.