Boneyard Tools

Midrange Calculator

Paste a data set to find its midrange, the average of the smallest and largest value. The calculator also reports the minimum, the maximum and the range so you can see the spread at a glance.

How to calculate the midrange

  1. Enter your numbers separated by commas, spaces or new lines.
  2. The calculator finds the smallest and largest value.
  3. Read the midrange, which is the average of those two extremes.

Examples

Midrange of a small set

3, 7, 2, 9, 4
Min = 2, max = 9, midrange = 5.5, range = 7

A single value

5
Midrange = 5, range = 0

Frequently asked questions

What is the midrange?

The midrange is a measure of center equal to the average of the smallest and largest value in a data set, (min + max) divided by 2. It uses only the two extremes, which makes it very quick to compute.

How is the midrange different from the mean and median?

The mean averages every value and the median is the middle value, so both use all of the data. The midrange ignores everything except the lowest and highest value, which makes it fast but very sensitive to outliers.

What is the difference between midrange and range?

The range is max minus min and measures spread, while the midrange is the average of max and min and measures center. They are related but answer different questions, so this calculator shows both.

When is the midrange useful?

It is handy for a fast estimate of the center, for the midpoint of a forecast band, or in fields like meteorology where the daily mean temperature is often taken as the midrange of the high and the low.

Why is the midrange sensitive to outliers?

Because it depends only on the minimum and maximum, a single extreme value moves the midrange directly. For data with outliers, the median is usually a more robust measure of center.

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