Mean, Median, Mode & Range Calculator – Free Online Tool
One click for mean, median, mode, range and sorted view of a dataset.
About the Mean, Median, Mode, Range Calculator
What is the Mean, Median, Mode, Range Calculator?
A mean, median, mode, range calculator summarizes a dataset with the four classic descriptive statistics.
Why use this calculator?
These four numbers describe the center and spread of almost any data set — the standard first look before any deeper analysis.
How to use it
- Enter numbers separated by commas.
- Read mean, median, mode, range and the sorted view.
Formula
Mean = Σx/n; median = middle value (or average of two); mode = most frequent; range = max − min.
When no value repeats, there is no mode and it says so.
Frequently Asked Questions
What if there are two modes?
The data is bimodal; both values are listed. Three or more modes are rare and usually mean the data is mixed.
Why report both mean and median?
The gap between them reveals skew: mean much higher than median signals strong outliers.
What order of operations does this use?
It follows standard PEMDAS/BODMAS rules: parentheses, exponents, multiplication and division, then addition and subtraction.
How precise are the answers?
The calculator uses double-precision floating-point math (about 15 significant digits) and rounds the display. For exact symbolic results use dedicated algebra software.
Can I enter negative numbers or decimals?
Yes. Negative values, decimals and very large or small numbers are all supported unless a field says otherwise.
What does it mean if I get an error?
Errors usually mean an invalid input, such as division by zero or a negative value where only positives make sense. Check your entries and try again.
What is the difference between population and sample?
A population includes every member of a group; a sample is a subset. Sample statistics use n−1 in the denominator to correct for bias.
When should I use median instead of mean?
Use the median when data contains outliers or is skewed, because it is less affected by extreme values than the mean.
What does standard deviation tell me?
It measures how spread out the values are around the mean. A small standard deviation means the data clusters tightly; a large one means it is more scattered.
Is this calculator free to use?
Yes. Every calculator on this site is completely free, with no hidden fees, no subscriptions and no limits on how many times you can use it.