Mean, Median & Mode Calculator
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Mean, median and mode explained
These three numbers are the classic measures of central tendency — different ways of describing where the centre of a data set lies. They often disagree, and that disagreement is itself informative: a gap between the mean and the median, for instance, usually signals that the data is skewed.
Mean (the average)
The mean adds up every value and divides by how many values there are. For a set of n numbers it is written mean = (x₁ + x₂ + … + xₙ) ÷ n. It uses every value, which makes it sensitive to outliers — one very large number can pull the mean noticeably upward.
Median (the middle)
Sort the values from smallest to largest and the median is the one in the middle. If there is an even number of values, the median is the average of the two middle ones. Because it only cares about position, the median shrugs off extreme outliers and is often the fairer "typical" value for skewed data.
Mode (the most frequent)
The mode is simply the value that occurs most often. A data set can have one mode, several modes, or none at all if every value is unique. The mode is the only one of the three that also works for categories, not just numbers.
Take the list 2, 4, 4, 4, 5, 5, 7, 9. The sum is 40 across 8 values, so the mean is 40 ÷ 8 = 5. Sorted, the two middle values are 4 and 5, so the median is (4 + 5) ÷ 2 = 4.5. The value 4 appears three times — more than any other — so the mode is 4. The range is 9 − 2 = 7.
Seeing the shape of your data
A single centre number hides the spread. To see the full distribution — where values cluster and how far they reach — plot a histogram, which buckets values into bars by frequency. To compare a handful of distinct categories side by side, a bar chart is the clearer choice. Reading the centre alongside the shape gives a far more honest summary than any one statistic on its own.