Five Number Summary Calculator
Min, Q1, median, Q3 and max in one pass.
Enter your values
Enter the data values you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- Five number summary
- 4, 7.75, 13, 17.75, 42
- Minimum
- 4
- Q1
- 7.75
- Median
- 13
- Q3
- 17.75
- Maximum
- 42
- IQR
- 10
- Range
- 38
Quick answer
The five number summary is the minimum, Q1, median, Q3 and maximum — the skeleton of a box plot and a robust description of any distribution.
min, Q1, median, Q3, max
At a glance
| What it does | Min, Q1, median, Q3 and max in one pass. |
|---|---|
| Category | Statistics |
| Inputs needed | Data values |
| Main output | Five number summary |
| Formula | min, Q1, median, Q3, max |
| Cost | Free — no sign-up, no download |
How to use the Five Number Summary Calculator
- 1Paste your values in any order — they are sorted for you.
- 2Read the five numbers straight across.
- 3Use the IQR to judge spread without letting outliers distort it.
Inputs explained
- Data values
- Enter the data values you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Data values4, 8, 15, 16, 23, 42, 7, 11
Results
- Five number summary4, 7.75, 13, 17.75, 42
- Minimum4
- Q17.75
- Median13
- Q317.75
- Maximum42
- IQR10
- Range38
Frequently asked questions
Which quartile method is this?
Linear interpolation between order statistics, the same method used by Excel's QUARTILE.INC and most statistics courses.
Why prefer the median over the mean?
The median ignores extreme values, so it describes skewed data such as income or house prices far more honestly.
What do I need to enter into the Five Number Summary Calculator?
Just 1 value: data values. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Five Number Summary Calculator work out the answer?
The five number summary is the minimum, Q1, median, Q3 and maximum — the skeleton of a box plot and a robust description of any distribution. It applies the formula min, Q1, median, Q3, max and shows the working so you can check each step by hand.
Is the Five Number Summary Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.