Precision Utility
Mean, Median &
Mode Calculator
Averages
3 Averages
Analysis
Statistical Analysis
Enter any set of numbers and instantly see the mean, median, mode, range, count, sum, minimum and maximum. Whether you're checking homework, analysing survey results or exploring a data set, this calculator does the heavy lifting for you.
Your Data Set
Separate numbers with commas, spaces or new lines
Arithmetic Mean
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Mean
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Median
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Mode
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Range
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Count
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Sum
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Min
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Max
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How the mean, median and mode calculator works
Type or paste your numbers into the input box, separated by commas, spaces or new lines. The calculator parses your input, sorts the values and computes all results instantly as you type.
The mean (arithmetic average) adds every value together and divides by the count. It is the most commonly used average and works best when data is evenly distributed without extreme outliers.
The median is the middle value once numbers are sorted from smallest to largest. If there is an even number of values, it takes the average of the two middle numbers. The median is more resistant to outliers than the mean.
The mode is the value that appears most frequently. A data set can have no mode (all values unique), one mode, or multiple modes. This calculator shows all modes when more than one exists.
What you need to know about averages
In everyday language, "average" usually means the mean. But statisticians recognise three measures of central tendency, each with different strengths:
- Mean is sensitive to every value in the set, which makes it useful for balanced data but misleading when outliers exist
- Median splits the data in half and is the go-to measure for skewed distributions like income or house prices
- Mode identifies the most common value and is particularly useful for categorical data or finding popular choices
- Range (max minus min) gives a quick sense of how spread out the data is, though it doesn't account for clustering
For a fuller picture of spread, consider also looking at standard deviation. Use our standard deviation calculator alongside this tool for a complete analysis.
Frequently asked questions
What is the difference between mean, median and mode?
The mean is the arithmetic average -- add all the numbers and divide by how many there are. The median is the middle value when numbers are sorted in order. The mode is the value that appears most often. Each measure tells you something different about your data.
When should I use the median instead of the mean?
Use the median when your data has extreme outliers or is skewed. For example, average UK salaries are better represented by the median because a few very high earners pull the mean upward. The median gives a more typical value in these cases.
Can a data set have more than one mode?
Yes. A data set with two modes is called bimodal, and one with more than two is multimodal. If every value appears the same number of times, there is no mode. This calculator shows all modes when multiple exist.
What is the range and why does it matter?
The range is the difference between the largest and smallest values in your data set. It gives a quick measure of spread -- a large range means your data is widely dispersed, while a small range means the values are clustered together.
How do I enter my numbers into the calculator?
Type or paste your numbers into the input box, separated by commas, spaces or new lines. The calculator accepts any mix of separators and updates results instantly as you type.
How is the median calculated for an even number of values?
When there is an even number of values, the median is the average of the two middle numbers. For example, in the set 2, 4, 6, 8, the median is (4 + 6) / 2 = 5.