Is the standard deviation population or sample?

This tool uses the population standard deviation (dividing by n). For a sample estimate you would divide by n−1, which gives a slightly larger value.

The median is the middle value when the numbers are sorted. With an even count it is the average of the two middle values.

Can there be more than one mode?

Yes. If several values share the highest frequency, all of them are shown. If every value is unique, there is no mode.

Quartiles split the sorted data into four equal parts. Q1 is the 25% point, Q3 the 75% point, and IQR is the distance between them.

Is my data sent to a server?

No. All calculation happens locally in your browser.

Statistics Calculator

Numbers

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

Count

Sum

127

Mean

18.1429

Median

Mode

Min

Max

Range

Variance

17.551

Std deviation

4.1894

Q1 (25%)

Q3 (75%)

IQR

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Paste a list of numbers and instantly get the key descriptive statistics: mean, median, mode, range, variance, standard deviation and quartiles. Values can be separated by commas, spaces or new lines. Everything is calculated in your browser; nothing is uploaded.

How to use

Enter or paste your numbers, separated by commas, spaces or new lines.
The statistics update instantly as you type.
Read each measure in the grid below.

How it works

The mean is the sum divided by the count. The median is the middle value when sorted, and the mode is the most frequent value (there can be several, or none). Variance measures spread as the average squared distance from the mean, and the standard deviation is its square root. Quartiles split the sorted data into four parts using linear interpolation.

Features

Full summary

Thirteen measures including mean, median, mode, variance, standard deviation and quartiles.

Multiple modes

Shows every most-frequent value, or none when all values are unique.

Quartiles & IQR

Q1, Q3 and the interquartile range help you see the spread.

Instant results

Everything recalculates the moment you change the numbers.

When to use it

Homework

Check statistics answers for a math or stats assignment.

Experiment data

Summarize measurements from an experiment quickly.

Grades & scores

Find the average and spread of a set of scores.

Quality checks

Look at variation in a batch of measurements.

Notes

Variance and standard deviation use the population formula (divide by n).
The mode can be several values if they tie, or none if all are unique.
Values can be separated by commas, spaces, semicolons or new lines.
Everything runs on your device; nothing is uploaded.

FAQ

Is the standard deviation population or sample?: This tool uses the population standard deviation (dividing by n). For a sample estimate you would divide by n−1, which gives a slightly larger value.
What is the median?: The median is the middle value when the numbers are sorted. With an even count it is the average of the two middle values.
Can there be more than one mode?: Yes. If several values share the highest frequency, all of them are shown. If every value is unique, there is no mode.
What are quartiles?: Quartiles split the sorted data into four equal parts. Q1 is the 25% point, Q3 the 75% point, and IQR is the distance between them.
Is my data sent to a server?: No. All calculation happens locally in your browser.