Mean, Median, Mode & Range Calculator
Paste or type any list of numbers and instantly get the mean (average), median, mode, and range — plus standard deviation, variance, count, sum, minimum, and maximum. Every result comes with clear step-by-step working, so it's perfect for homework, data analysis, or a quick check. Works for everyone, everywhere.
Enter your numbers separated by commas, spaces, or new lines (for example: 3, 7, 7, 19, 4). The calculator sorts them and works out every key statistic.
* This calculator treats your numbers as the full data set. It reports both the population and sample standard deviation/variance — use "sample" when your data is a sample drawn from a larger group, and "population" when it's the entire group. The mode can be one value, several values (multimodal), or none if every number appears once. Math is universal, so this works the same everywhere in the world.
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What Is a Mean, Median, Mode & Range Calculator?
This is a statistics calculator that summarizes a set of numbers using the most common measures. The mean, median, and mode are the three "measures of central tendency" — different ways of describing the typical or middle value — while the range and standard deviation describe how spread out the data is. Enter your numbers and the calculator finds them all at once, with the working shown.
It's a staple for students learning statistics, but it's just as handy for anyone analyzing scores, prices, measurements, or survey results. The math is universal, so it works the same everywhere.
How to Find the Mean (Average)
Example: (3 + 7 + 7 + 19 + 4) ÷ 5 = 40 ÷ 5 = 8
The mean is what most people call the "average." Add every number, then divide by how many numbers there are. It's the most familiar measure, but it can be pulled up or down by very large or small outliers.
How to Find the Median
The median is the middle value once the numbers are sorted in order. If there's an odd count, it's the single middle number. If there's an even count, it's the average of the two middle numbers.
Even count, e.g. 4, 7, 7, 19 → median = (7 + 7) ÷ 2 = 7
The median is often more representative than the mean when data has outliers — which is why "median income" and "median house price" are commonly reported.
How to Find the Mode
The mode is the value that appears most often. A data set can have one mode, several modes (multimodal), or no mode at all if every value is unique. In 3, 7, 7, 19, 4 the mode is 7, because it appears twice and everything else appears once.
How to Find the Range
Example: 19 − 3 = 16
The range is the simplest measure of spread — the gap between the largest and smallest values.
Standard Deviation and Variance
Standard deviation measures how far, on average, the values sit from the mean — a low value means the data is clustered tightly, a high value means it's spread out. Variance is the square of the standard deviation. There are two versions: use the population formula when your numbers are the entire group, and the sample formula (which divides by n − 1) when they're a sample from a larger group. The calculator reports both.
Mean vs Median vs Mode: Which Should You Use?
- Mean: best for fairly symmetrical data with no big outliers.
- Median: best when there are outliers or skew (income, prices, house values).
- Mode: best for categorical or most-common-value questions (e.g. the most popular shoe size).