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Median Calculator

Find the median, sorted values, count, minimum, and maximum from a list of numbers.

Supports decimals, negative numbers, commas, spaces, and line breaks.

Status: initial

Results

Awaiting calculation

Statistics

Introduction

The Median Calculator finds the middle value in a sorted list of numbers and explains the odd-count or even-count method.

Sort the numbers first. If there is an odd number of values, the median is the middle value. If there is an even number of values, the median is the average of the two middle values.

Formula and method guide

Odd count

Median = middle sorted value

Use this when the list has 1, 3, 5, 7, or another odd number of values.

Even count

Median = (lower middle + upper middle) / 2

Use this when the list has 2, 4, 6, 8, or another even number of values.

Position check

Middle position = (n + 1) / 2 for odd n

Position rules help verify which sorted value or values should be used.

Variables

Numbers

The list of values used to find the median.

Sorted values

The same numbers arranged from smallest to largest.

Count

The number of values in the list.

Middle value

The central value for an odd-length list.

Two middle values

The central pair averaged for an even-length list.

FAQs

What does this Median Calculator do?
It sorts a list of numbers and returns the median, count, sorted values, minimum, and maximum.
What is the median?
The median is the middle value of a sorted data set.
How do I find the median with an odd number of values?
Sort the values and choose the one in the middle.
How do I find the median with an even number of values?
Sort the values and average the two middle values.
Can this calculator handle decimals?
Yes. Decimal values are supported.
Can this calculator handle negative numbers?
Yes. Negative values are sorted and included normally.
Do repeated values count?
Yes. Every entered number counts, including duplicates.
Is median the same as average?
No. Average usually means arithmetic mean, while median is the center of sorted values.
When is median useful?
Median is useful when outliers would make the mean less representative.
Can I paste numbers from a spreadsheet?
Yes. Commas, spaces, and line breaks are supported.
What happens if I enter one number?
The median is that number.
Does order matter?
No. The calculator sorts values before finding the median.
Can the median be a number not in the list?
Yes. For even counts, averaging the two middle values can produce a value not directly entered.
What is the middle position formula?
For an odd count n, the middle position is (n + 1) / 2 after sorting.
How is this different from a mode calculator?
Median finds the center value. Mode finds the most frequent value.

References

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