Average Calculator
Find the mean, median, mode, and range of any list of numbers, with an instant chart of your data and the mean line.
Results from this calculator are estimates provided for general informational purposes only, based on formulas, rates, and standards commonly accepted as of 2026. Figures may differ slightly from other calculators or professional sources due to rounding methods, differing assumptions, or regional regulations, and rules may change over time. Always consult a qualified professional — such as a financial advisor, healthcare provider, or other relevant specialist — before making decisions based on these results.
Mean (Average)
20
Summary
For the 7 numbers entered, the mean (average) is 20, the median is 18, the mode is 18, and the range is 18 (from 12 to 30).
Median
18
Mode
18
Range
18
Count
7
Sum
140
Min / Max
12 / 30
Your values, with the mean shown as a dashed line
What is an Average Calculator?
An average calculator summarizes a list of numbers using the three most common measures of central tendency — mean, median, and mode — plus the range, giving a fuller picture of your data than any single statistic alone. "Average" in everyday speech almost always refers to the mean, but median and mode can tell a very different story, especially when your data has outliers or repeated values.
This calculator accepts any list of numbers separated by commas, spaces, or new lines, and instantly computes all four measures alongside a chart of your values and the mean.
Your Values, Sorted
Mean, Median, Mode, and Range Explained
Each measure answers a slightly different question about your data:
- Mean — the sum of all values divided by how many there are. Sensitive to outliers: one very large or small value can pull the mean noticeably.
- Median — the middle value when all numbers are sorted (or the average of the two middle values, for an even count). Resistant to outliers, which is why it's often used for things like household income.
- Mode — the value(s) that appear most often. A data set can have no mode (all values unique), one mode, or several tied modes.
- Range — the difference between the largest and smallest value, a simple measure of how spread out the data is.
Why Mean and Median Can Disagree
When data is symmetric, mean and median land close together. When data is skewed — a few very large or very small values pulling in one direction — the mean shifts toward the outliers while the median stays anchored near the middle of the data. For example, the numbers 10, 12, 14, 16, 100 have a mean of 30.4 but a median of only 14 — the single value 100 drags the mean far above where most of the data actually sits.
When to Use Each Measure
Use the mean when your data is roughly symmetric and you want a measure that accounts for every value (like average test scores). Use the median when your data has outliers or is skewed (like home prices or income, where a few very high values would otherwise distort the picture). Use the mode when you care about the most common or popular value, such as the most frequently ordered size or most common survey response.
Example — Your Current Inputs
For the 7 numbers entered, the mean (average) is 20, the median is 18, the mode is 18, and the range is 18 (from 12 to 30).
Additional Example — Skewed Data
Five houses on a street sell for $200,000, $210,000, $220,000, $230,000, and $2,000,000 (one mansion). The mean sale price is $572,000 — a number that doesn't represent any typical house on the street. The median, $220,000, is a far more representative "average" for this kind of skewed data.
Frequently Asked Questions
What does "average" mean by default?
In everyday usage, "average" almost always refers to the mean (sum divided by count). This calculator shows the mean prominently but also reports median and mode since they can tell a very different story about the same data.
Can a data set have more than one mode?
Yes — if two or more values are tied for the highest frequency, all of them are reported as modes (this is sometimes called a "multimodal" data set). If every value appears exactly once, there is no mode at all.
How is the median calculated for an even number of values?
Sort the values, then average the two values in the middle. For example, with 10, 20, 30, 40, the two middle values are 20 and 30, so the median is (20 + 30) ÷ 2 = 25.
What's the difference between range and standard deviation?
Range only looks at the two most extreme values (max minus min) and ignores everything in between. Standard deviation accounts for every value's distance from the mean, giving a fuller picture of spread — use the Standard Deviation Calculator for that.