Method
The mean is Σx/n; the median uses sorted middle positions; modes have the highest repeated frequency; variance averages squared deviations using n or n−1.
Math worksheet
Compare the four familiar summaries of a dataset and see exactly how sorting and frequency affect them.
The calculation runs locally. Exact-integer tools avoid floating point; decimal and transcendental tools report rounding limits.
Method and verification guide
The mean is Σx/n; the median uses sorted middle positions; modes have the highest repeated frequency; variance averages squared deviations using n or n−1. The calculator keeps the intermediate values visible so you can reproduce the answer independently.
The mean is Σx/n; the median uses sorted middle positions; modes have the highest repeated frequency; variance averages squared deviations using n or n−1.
Mean and standard deviation use every value, while median and range reveal different aspects of centre and spread.
Summaries can hide clusters, skewness and outliers; sample calculations require at least two observations.
Everything runs in this browser. Inputs are not sent to an external calculator.
Displayed values may be rounded for readability while calculations use full floating-point precision unless the tool explicitly uses exact integers.
Summaries can hide clusters, skewness and outliers; sample calculations require at least two observations.
Simple by design
Use realistic values in each field. You can change them anytime.
The formula runs locally, so there is no account or waiting time.
Treat the answer as a practical estimate for your next decision.