Mean, Median & Mode Calculator
Paste any list of numbers and instantly get the mean, median, all modes, range and both population and sample standard deviation. A fitted normal distribution curve shows where your data sits.
Sum of all values divided by count
- 1
Count n
9 - 2
Sum Σxᵢ
53 - 3
Mean = Σxᵢ / n
53 ÷ 9 = 5.8889
How does this calculator work?
Enter a list of numbers to get mean (Σx/n), median (middle value after sorting), mode (most frequent), range, population standard deviation (σ) and sample standard deviation (s). A normal distribution curve visualises the spread around the mean.
Formula
How this is calculated
The mean (arithmetic average) sums all values and divides by the count — it is sensitive to outliers. The median is the middle value of the sorted dataset (or the mean of the two middle values when n is even) — it is resistant to outliers and better describes skewed distributions. The mode is the value (or values) that appear most frequently; a dataset with no repeats has no mode.
The range (max − min) is the simplest spread measure. Standard deviation captures how far values typically deviate from the mean. This calculator shows both the population standard deviation σ = √(Σ(x−μ)²/n), which assumes the data is the entire population, and the sample standard deviation s = √(Σ(x−μ)²/(n−1)), which adds one degree-of-freedom correction for use when the data is a sample drawn from a larger population.
The bell curve shown is a theoretical normal distribution centred at the calculated mean with the population standard deviation — it is illustrative of the distribution shape, not a claim that the data is normally distributed. With small or highly skewed datasets the actual distribution can look very different.
Frequently asked questions
Prefer the median when your data is skewed or contains outliers — for example income distributions or house prices. The mean is pulled toward extreme values, while the median stays closer to the typical value.
Population σ divides by n (all data is the full population). Sample s divides by n−1 (Bessel's correction) to give an unbiased estimate when your data is a subset of a larger group. Use s for inferential statistics.
A dataset can be bimodal (two modes) or multimodal. If every value appears exactly once there is no mode. This calculator lists all tied-frequency values.
TG we-Calculate Editorial Team. (2026). Mean, Median & Mode Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/mean-median-mode-calculator
TG we-Calculate Editorial Team. "Mean, Median & Mode Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/mean-median-mode-calculator.
TG we-Calculate Editorial Team, "Mean, Median & Mode Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/mean-median-mode-calculator
@misc{wecalculate_mean_median_mode_calculator, title = {Mean, Median & Mode Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/mean-median-mode-calculator}}, year = {2026}, note = {TG we-Calculate} }
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