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Q3 Calculator – Third Quartile

Statistics & Probability · Percentiles

Quick answer

If values are 12, 15, 15, 18, 22, 27, 31, the q3 is 24.5.

Third quartile: Position = 0.75 × (n − 1) in the sorted list; interpolate if it falls between two values.

Enter your values

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

Q3

24.5

The value three-quarters of the way through the sorted data — 75% of values fall below it.

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About the Q3 Calculator – Third Quartile

Q3, the third quartile, is the value below which three quarters (75%) of the data falls. It marks the upper end of the middle half of your data. Enter your values to find it.

For 12, 15, 15, 18, 22, 27 and 31, Q3 is 24.5.

Third quartile

Position = 0.75 × (n − 1) in the sorted list; interpolate if it falls between two values

Things to keep in mind

  • It uses linear interpolation between the closest ranks, the same as Excel's PERCENTILE.INC.
  • Q1, the median and Q3 together split the data into four equal parts.
  • Values far above Q3 + 1.5 × the interquartile range are often treated as outliers.
STATISTICS & PROBABILITY GUIDE

A quick guide to Q3

Use it to get an accurate q3 in seconds — free, with no sign-up.

  • Instant results

    See your q3 the moment you enter your numbers.

  • Free, no sign-up

    Every calculator here is free to use, with no account required.

  • Accurate & transparent

    The same standard formula runs on our server for every calculation.

How to Use the Q3 Calculator

1

Enter Values

Provide your values.

2

View Your Results

Get your q3 instantly, calculated on our server.

What is Q3?

This statistics & probability tool works out your q3 instantly, so you don't have to do the math by hand.

“One quick calculation, so you always know your q3 before you decide.”

What Affects Your Q3

Your q3 depends on the values below.

  • Values

    Changing your values changes your q3.

Example Result

Here's what you can expect from a q3 calculation:

Q3
24.5

Frequently Asked Questions

How to calculate q3?
Fill in values in the Q3 Calculator – Third Quartile above and your q3 is calculated instantly. Change any value to see how the result responds.
What does an example q3 calculation look like?
If values are 12, 15, 15, 18, 22, 27, 31, the q3 is 24.5.
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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Q3

Enter your values

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

Q3

24.5

The value three-quarters of the way through the sorted data — 75% of values fall below it.

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