# Statistical Range Calculator

Free range calculator. Enter data values to compute the range, mid-range, coefficient of range, minimum, maximum, and mean of your dataset.

## What this calculates

Calculate the range and related measures of spread from your data. The range is the simplest measure of variability, the difference between the largest and smallest values, along with the mid-range and coefficient of range for additional context.

## Inputs

- **Number of Values** — min 2, max 10 — How many values to include (2-10).
- **Value 1** — Data value.
- **Value 2** — Data value.
- **Value 3** — Data value.
- **Value 4** — Data value.
- **Value 5** — Data value.
- **Value 6** — Data value.
- **Value 7** — Data value.
- **Value 8** — Data value.
- **Value 9** — Data value.
- **Value 10** — Data value.

## Outputs

- **Range** — Difference between the maximum and minimum.
- **Mid-Range** — Average of the maximum and minimum.
- **Minimum** — Smallest value in the dataset.
- **Maximum** — Largest value in the dataset.
- **Mean** — Arithmetic mean of all values.
- **Coefficient of Range** — Relative measure of dispersion: (max-min)/(max+min).

## Details

The range is the most basic measure of statistical dispersion. It is calculated as the difference between the maximum and minimum values in a dataset: Range = Max - Min. While easy to compute and understand, the range is highly sensitive to outliers because it depends on only two data points.

The mid-range is the average of the maximum and minimum: Mid-Range = (Max + Min) / 2. It provides a rough estimate of the center of the data but, like the range, is influenced by extreme values. In symmetric distributions, the mid-range approximates the mean.

The coefficient of range (also called the coefficient of dispersion) normalizes the range by dividing by the sum of the maximum and minimum: (Max - Min) / (Max + Min). This dimensionless ratio allows you to compare the relative spread of datasets measured in different units or on different scales.

## Frequently Asked Questions

**Q: Why is the range not always a good measure of spread?**

A: The range uses only the two most extreme values and ignores everything in between. A single outlier can dramatically inflate the range, making it a poor representation of the typical spread. The interquartile range (IQR) or standard deviation are more robust alternatives.

**Q: What is the mid-range used for?**

A: The mid-range is a quick estimate of the center of a dataset. It is most useful for symmetric distributions with no outliers. In quality control, the mid-range of a sample is sometimes used as a fast approximation of the process mean.

**Q: What does the coefficient of range tell you?**

A: The coefficient of range is a relative measure of dispersion that ranges from 0 to 1 for positive data. A value near 0 means the data is tightly clustered, while a value near 1 means it is widely spread. It is useful for comparing variability across datasets with different units.

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Source: https://vastcalc.com/calculators/statistics/range-calculator
Category: Statistics
Last updated: 2026-04-21