🧾 Five Number Summary Calculator
Find the minimum, first quartile, median, third quartile, and maximum of a dataset.
📊 Statistics📐 Formula included🧠 Practice questions✓ Free
Please enter valid values.
Formula and Explanation
Find the minimum, first quartile, median, third quartile, and maximum of a dataset.
| Concept | Formula or rule |
|---|---|
| Five Number Summary Calculator | Five-number summary = minimum, Q₁, median, Q₃, maximum |
How to Use This Calculator
- Enter the sample, counts, probabilities, or summary statistics requested above.
- Keep paired lists in the same order and separate values with commas.
- Select the correct test direction or sample/population option when available.
- Press Calculate and interpret the result together with the supporting statistics.
Worked Example
Example: For 1,2,3,4,5, the summary is 1,2,3,4,5 under linear interpolation.
✓ Min 1 · Q1 2 · Median 3 · Q3 4 · Max 5
Where This Is Used
School & coursework
Check homework, understand formulas, and verify step-by-step statistics exercises.
Research
Explore estimates, uncertainty, distributions, and relationships before using full statistical software.
Business & data analysis
Summarize variation, compare groups, and communicate data-driven findings clearly.
Common Mistakes to Avoid
⚠️
Leaving data unsorted when working by hand
Order matters for quartiles and the median.
Order matters for quartiles and the median.
⚠️
Confusing range with summary
The five-number summary reports endpoints and quartiles, not just max−min.
The five-number summary reports endpoints and quartiles, not just max−min.
⚠️
Assuming it shows every distribution feature
It does not directly show gaps or multiple peaks.
It does not directly show gaps or multiple peaks.
Practice Questions
1. What are the five statistics included?
Answer: Minimum, Q1, median, Q3, maximum.
2. Which statistic is the center?
Answer: Median.
3. Which two values determine the range?
Answer: Minimum and maximum.
Frequently Asked Questions
What graph uses the five-number summary?▾
A box-and-whisker plot.
Does it include the mean?▾
No.
Why is it useful?▾
It gives a compact view of center, spread, and potential skewness.