What are descriptive statistics?

They are numerical summaries that describe a data set, such as its center, size and spread, without making predictions beyond the observed values.

What happens when there is no repeated value?

The calculator reports No mode because no value occurs more often than the others.

Why are sample results unavailable for one value?

Sample variance divides by n minus 1, which is zero when there is only one observation.

Math Calculators

Statistics Calculator

Analyze a data set with central tendency, spread, variance and standard deviation.

Free browser toolRuns in your browserNo sign-up

Data values

Separate values with commas, spaces, semicolons or new lines.

Count

Sum

Mean

Median

4.5

Mode

Range

Minimum

Maximum

Population variance

Population SD

Sample variance

4.57142857143

Sample SD

2.1380899353

Glossary

Mean: The average: the sum of all values divided by how many there are.
Median: The middle value once the numbers are sorted.
Mode: The value (or values) that appear most often.
Range: The difference between the largest and smallest value.
Variance: How spread out the values are from the mean, measured in squared units.
Standard deviation: The typical distance of a value from the mean (the square root of variance).
Population vs sample: Use population when your data is the whole group, and sample when it is a subset used to estimate a larger group.

About the Statistics Calculator

This descriptive statistics calculator gives a complete numerical summary of a data set, covering central tendency, total size, range and variation.

Use mean, median and mode to understand the center of the data. Range, variance and standard deviation show how widely values are spread.

Unlike the quick Average Calculator, this broader tool reports both population and sample variation measures, making it suitable for coursework and initial data exploration.

Key features

Mean, median and mode
Count, sum, minimum, maximum and range
Population variance and standard deviation
Sample variance and standard deviation

How to use

1Paste or type the data values.
2Separate values with commas, spaces, semicolons or new lines.
3Review the complete descriptive statistics table.

Examples

Summary statistics

Input: 10, 20, 30, 40

Output: Mean 25, median 25, range 30

Mean is the average, median is the middle and range is max minus min.

Frequently asked questions

What are descriptive statistics?: They are numerical summaries that describe a data set, such as its center, size and spread, without making predictions beyond the observed values.
What happens when there is no repeated value?: The calculator reports No mode because no value occurs more often than the others.
Why are sample results unavailable for one value?: Sample variance divides by n minus 1, which is zero when there is only one observation.

Open a related tool to prepare your files or refine the finished result.