Range Calculator Formula

Understand the math behind the range calculator. Each variable explained with a worked example.

Formulas Used

Range

range_result = max_val - min_val

Midrange

midrange = (max_val + min_val) / 2

Variables

VariableDescriptionDefault
max_valMaximum Value95
min_valMinimum Value22

How It Works

How to Calculate the Range

Formula

Range = Maximum Value - Minimum Value

The range is the simplest measure of spread. It tells you the total span of the data but is highly sensitive to outliers because it depends only on the two most extreme observations.

Midrange

The midrange is the average of the maximum and minimum: (Max + Min) / 2. It estimates the center of the data using only the extremes.

Worked Example

A dataset has a maximum of 95 and a minimum of 22. Find the range.

max_val = 95min_val = 22
  1. 01Range = 95 - 22 = 73
  2. 02Midrange = (95 + 22) / 2 = 58.5

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Open Range Calculator