Mean, Median & Mode Calculator
Paste or type any list of numbers and get all three averages at once — mean, median and mode — plus the range, sum and count. Each measure tells a different story about your data; seeing them together shows which one to trust.
How to use this calculator
- Paste or type your numbers, separated by commas or spaces.
- Press Calculate to see mean, median, mode, range, sum and count together.
- Compare mean vs median: a big gap means outliers are pulling the average.
Formula used
With an even count, the median averages the two middle values. A dataset can have one mode, several modes (multimodal), or none if every value appears once. Range = maximum − minimum.
Example calculation
For 4, 8, 6, 5, 3, 8, 9, 2 (n = 8): sum = 45, mean = 45 ÷ 8 = 5.625.
Sorted: 2 3 4 5 6 8 8 9 → median = (5+6)/2 = 5.5. Mode = 8 (appears twice). Range = 9 − 2 = 7.
Mean vs median vs mode — which average to use?
Each measure answers a different question. The mean uses every value, making it ideal for symmetric data but sensitive to outliers — one billionaire in a room skyrockets the mean income while the median barely moves. The median is the true middle: half the data above, half below, which is why house prices and salaries are reported as medians. The mode is the most common value — the only average that works for categories (most popular shoe size).
The gap between mean and median is itself informative: mean well above median signals a right-skewed distribution with high outliers.
Why use this calculator?
- Get all three averages plus range in one paste — no re-entering data per measure.
- Spot skew instantly by comparing mean and median.
- Handles decimals, negatives and repeated values correctly.
Frequently asked questions
How do I find the median of an even set of numbers?
Sort the list and average the two middle values. For 2, 4, 6, 8, the middle pair is 4 and 6, so the median is 5.
Can a data set have two modes or no mode?
Yes to both. If two values tie for most frequent, the data is bimodal and both are modes. If every value appears exactly once, there is no mode.
When is the median better than the mean?
Whenever outliers or skew exist — incomes, house prices, response times. The median resists extreme values; the mean gets dragged toward them. For symmetric data, they agree and the mean's extra precision wins.