Average Calculator
Enter a list of numbers to instantly calculate the mean (average), median, mode, and range. Results include the total count and sum.
How Average Calculator works
Mean (arithmetic average)
The mean is the sum of all values divided by the count. It is the most widely used measure of central tendency and works well when data is roughly symmetrical with no extreme outliers. For example, the mean of 10, 20, 30 is (10 + 20 + 30) ÷ 3 = 20. The mean is sensitive to outliers: a single very large or very small value can pull it far from the typical value in your data.
Median
The median is the middle value when data is sorted in order. For an odd count, it is the central value; for an even count, it is the average of the two middle values. The median is more resistant to outliers than the mean, which is why it is preferred for skewed distributions such as income or house prices. For example, the median of 10, 20, 30, 40, 1000 is 30, while the mean is 220.
Mode
The mode is the value (or values) that appear most frequently in the dataset. A dataset can have one mode (unimodal), two modes (bimodal), or more. If no value repeats, there is no mode. The mode is most useful for categorical data or when you want to know the most common outcome — for example, the most common house price in a neighbourhood.
Range
The range is the difference between the largest and smallest values in the dataset. It gives a quick sense of spread, but like the mean, it is sensitive to extreme values. For a more robust measure of spread, statisticians use the interquartile range (IQR), standard deviation, or variance. The range is useful as a quick sanity check on data or when comparing two small datasets.
Frequently asked questions
What is the difference between mean and average?
Mean and average are often used interchangeably, but "average" can refer to several measures — mean, median, or mode. The arithmetic mean (sum ÷ count) is the most common form. In everyday speech, "average" usually means the arithmetic mean.
When should I use the median instead of the mean?
Use the median when your data is skewed or contains outliers. Income and house prices are classic examples — a few very high values pull the mean far above the typical value. The median is not affected by outliers and better represents the middle of the distribution in these cases.
Can a dataset have more than one mode?
Yes. A dataset with two modes is bimodal; with three or more modes it is multimodal. For example, the dataset 1, 2, 2, 3, 4, 4, 5 has two modes: 2 and 4. If every value appears exactly once, there is no mode.
What does range tell you about a dataset?
Range shows the total spread of the data from minimum to maximum. A large range means the data is spread out; a small range means the values are clustered together. However, range only uses the two extreme values and ignores everything in between. Standard deviation gives a more complete picture of spread.
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