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How Average, Median & Mode Are Calculated
This tool computes several common measures of central tendency and spread from a list of numbers.
- Mean (Average) = Sum of all numbers รท Count of numbers.
- Median = the middle value when the numbers are sorted; if there is an even count, it's the average of the two middle values.
- Mode = the value(s) that appear most frequently. If every number appears only once, there is no mode.
- Range = Maximum value โ Minimum value.
Worked example
For the default list 72, 85, 90, 64, 78: Sum = 389, Count = 5, so Mean = 389 รท 5 = 77.8. Sorted, the list is 64, 72, 78, 85, 90 โ the middle value is 78, so the Median is 78. Since every value appears exactly once, there is No mode. The Range is 90 โ 64 = 26.
How to calculate average, median and mode, step by step
- Enter your list of numbers, separated by commas or new lines.
- Click Calculate to see the Mean, Median, Mode and Range for your data.
- Use the Mean for a typical overall value, the Median if outliers might be skewing the Mean, and the Mode to find the most frequently occurring value.
Why use median or mode instead of mean?
The mean can be skewed by extreme values (outliers), since every number contributes to the sum. Average salaries in a small office can look misleadingly high if one person earns far more than everyone else โ the median is often a more representative "typical" value in such cases. The mode is most useful for categorical or frequently repeating data, such as the most common exam score in a class.