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Descriptive Statistics Calculator

Statistics & Probability · Descriptive

Quick answer

If values are 12, 15, 15, 18, 22, 27, 31, the mean is 20, the median is 18 and the sample SD is 6.9761.

What it reports: Mean = sum ÷ n; Median = middle value of the sorted list; Sample SD = √( Σ(x − mean)² ÷ (n − 1) ).

Enter your values

  • 12
  • 15
  • 15
  • 18
  • 22
  • 27
  • 31
7 values

Summary

20

The arithmetic average — every value added together, divided by how many there are.

90% is median

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About the Descriptive Statistics Calculator

A quick summary of a data set gives its centre and its spread at once: the mean, the median and the sample standard deviation. Enter your values to see all three together.

For 12, 15, 15, 18, 22, 27 and 31, the mean is 20, the median is 18 and the sample standard deviation is about 6.98.

What it reports

Mean = sum ÷ n

Median = middle value of the sorted list

Sample SD = √( Σ(x − mean)² ÷ (n − 1) )

Things to keep in mind

  • If the mean is well above the median, a few large values are pulling the average up.
  • The standard deviation shows the typical distance from the mean.
  • Use sample standard deviation for samples and population standard deviation for a whole group.
STATISTICS & PROBABILITY GUIDE

A quick guide to Dataset Summary

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    See your mean the moment you enter your numbers.

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How to Use the Dataset Summary Calculator

1

Enter Values

Provide your values.

2

View Your Results

Get your mean instantly, calculated on our server.

What is Dataset Summary?

This statistics & probability tool works out your mean instantly, so you don't have to do the math by hand.

“One quick calculation, so you always know your mean before you decide.”

What Affects Your Mean

Your mean depends on the values below.

  • Values

    Changing your values changes your mean.

Example Result

Here's what you can expect from a dataset summary calculation:

Mean
20
Median
18
Sample SD
6.9761

Frequently Asked Questions

How to calculate dataset summary?
Fill in values in the Descriptive Statistics Calculator above and your mean is calculated instantly. Change any value to see how the result responds.
What does an example dataset summary calculation look like?
If values are 12, 15, 15, 18, 22, 27, 31, the mean is 20, the median is 18 and the sample SD is 6.9761.
Is this calculator free to use?
Yes — every calculator on this site is completely free, with no sign-up or account required.
How accurate is this calculator?
It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.
Is my data saved anywhere?
No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.
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Dataset Summary

Enter your values

  • 12
  • 15
  • 15
  • 18
  • 22
  • 27
  • 31
7 values

Summary

20

The arithmetic average — every value added together, divided by how many there are.

90% is median

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