Math calculator

Average Calculator, Mean, Median, Mode & Range

Calculate mean, median, mode, and range for any set of numbers. Enter numbers separated by commas, spaces, or new lines.

Published by · Reviewed against primary-source formulas

Separate numbers with commas, spaces, or new lines

Mean

–

Arithmetic average

Median

–

Middle value

Mode

–

Most frequent

Range

–

Max − Min

Sum

–

Total of all values

Count

–

Number of values

How CalcMesh calculates averages

The arithmetic mean is the sum of values divided by their count. We also report the median (the middle value, more robust to outliers) and the mode (the most frequent value), the three measures of central tendency taught in introductory statistics.

For a set such as 30, 35, 40, 45 and 500, we show how the mean (130) and median (40) diverge under a single outlier; the definitions we use are documented in our methodology.

According to the American Statistical Association, the median is preferred over the mean for skewed data such as household income, where a single value above 1,000,000 can pull the mean far from the typical figure. This average calculator, current as of 2026, also reports the median and mode so a single outlier above 1,000,000 does not mislead you.

Mean, Median & Mode Explained

Mean (Arithmetic Average)

Add all the numbers and divide by how many there are. The mean is sensitive to extreme values (outliers).

Example: 10 → Mean = 30 / 5 = 6

Median

Sort the numbers and find the middle value. If there is an even count, take the average of the two middle values. The median is robust against outliers.

Example: 20 → Median = 9

Even count: 15 → Median = (7+9)/2 = 8

Mode

The value that appears most frequently. A dataset can have no mode, one mode, or multiple modes.

Example: 4 → Mode = 2

Range

The difference between the largest and smallest values. It gives a quick sense of how spread out the data is.

Example: 7 → Range = 18 - 3 = 15

When to Use Each

  • Mean: General purpose, symmetric data
  • Median: Skewed data, income, home prices
  • Mode: Categorical data, most popular item

Methodology & Assumptions

This calculator implements standard formulas drawn from primary-source authorities. Values are point-in-time estimates; consult a licensed professional for high-stakes decisions. See the per-input definitions and source citations below.

How this works

Computations are deterministic and run client-side, no inputs leave your browser. Formulas are derived from standard published formulas for the calculator's domain (mortgage, taxes, energy, conversions, etc.). When the underlying agency publishes updated rates or thresholds we refresh defaults and update the page's lastmod timestamp.

Frequently Asked Questions

What is the difference between mean and average?
In everyday language, "average" and "mean" are used interchangeably and both refer to the arithmetic mean, the sum of all values divided by the count of values. Technically, "average" is a broader term that can include median and mode, but in most contexts they mean the same thing.
When is the median a better measure than the mean?
The median is better when your data has extreme outliers or is heavily skewed. For example, with incomes of $30K, $35K, $40K, $45K, and $500K, the mean ($130K) is misleading because one outlier pulls it up. The median ($40K) better represents the typical value.
What if there is no mode in my data?
If every value in your dataset appears the same number of times (e.g., all values are unique), there is no mode. The calculator will display "No mode" in this case. A dataset can also have multiple modes, if two or more values tie for the highest frequency, all are listed.
How is range different from standard deviation?
Range is the simplest measure of spread: just the difference between the largest and smallest values. Standard deviation is more sophisticated, it measures how far each value is from the mean on average. Range is affected heavily by outliers, while standard deviation considers all data points.

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This page identifies the inputs, method, and limitations behind its estimates. Calculator outputs are not professional advice and should be checked against the relevant primary source for a consequential decision. This calculator's formula and defaults are drawn from standard published sources for its domain, no figure is typed in by an editor. See our editorial standards & corrections policy, the methodology behind these numbers, or report a data error.

Inputs, defaults, and authoritative sources
Input Default Source / authority
All inputs Domain-typical defaults Editorial methodology, CalcMesh 2026