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
Descriptive Statistics Calculator
Produce a comprehensive audit of location, spread, frequency and sorted observations from one dataset.
The calculation runs locally. Exact-integer tools avoid floating point; decimal and transcendental tools report rounding limits.
Method and verification guide
How the Descriptive Statistics Calculator works
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.
Interpret the result
Mean and standard deviation use every value, while median and range reveal different aspects of centre and spread.
Check the assumptions
Summaries can hide clusters, skewness and outliers; sample calculations require at least two observations.
Local calculation
Everything runs in this browser. Inputs are not sent to an external calculator.
Rounding
Displayed values may be rounded for readability while calculations use full floating-point precision unless the tool explicitly uses exact integers.
Scope
Summaries can hide clusters, skewness and outliers; sample calculations require at least two observations.
Simple by design
Three steps to a clearer number.
Enter your details
Use realistic values in each field. You can change them anytime.
Calculate instantly
The formula runs locally, so there is no account or waiting time.
Use the result
Treat the answer as a practical estimate for your next decision.