Four to 200 finite values using the explicitly stated median-of-halves convention.
Interquartile Range Calculator
Enter your values below to get the result first, then scroll for the full explanation and guidance.
Interquartile range
4Median-of-halves method
Interquartile range: 4 (Median-of-halves method)
The IQR is Q3 minus Q1 after sorting the data and excluding the overall median from both halves when n is odd.
Middle 50% spread
The IQR is Q3 minus Q1 after sorting the data and excluding the overall median from both halves when n is odd.
Result snapshot
A quick visual read of the values behind this result.
Q12.5
Q36.5
Recommended next checks
- →State the quartile convention when comparing results from different software.
- Q1
- 2.5
- Q3
- 6.5
Try different values to compare results.
Calculate Q1, Q3, and the interquartile range using the median-of-halves convention.
Interquartile range
4Median-of-halves method
Interquartile range: 4 (Median-of-halves method)
The IQR is Q3 minus Q1 after sorting the data and excluding the overall median from both halves when n is odd.
Middle 50% spread
The IQR is Q3 minus Q1 after sorting the data and excluding the overall median from both halves when n is odd.
Result snapshot
A quick visual read of the values behind this result.
Q12.5
Q36.5
Recommended next checks
- →State the quartile convention when comparing results from different software.
- Q1
- 2.5
- Q3
- 6.5
Try different values to compare results.
Table of Contents
Table of Contents
About Interquartile Range Calculator
Interquartile Range Calculator helps you work through the main numbers for this topic quickly with a simple input flow and an instant result.
Use the calculator result as a practical starting point, then review the explanation and assumptions on the page if you want more context.
Calculation method
Sort values, exclude the overall median when n is odd, then calculate Q3 - Q1.
Formula explained
Calculation flow
This calculator is structured for fast UK-focused estimates with clear inputs, repeatable logic, and instant results.
Formula
Input values -> calculation engine -> instant result
How the result is built
1Enter the values requested in the form.
2The calculator applies the configured formula logic.
3The result updates instantly with a breakdown.
4Use the output to compare scenarios quickly.
Example
Example verified by the calculator's descriptive statistics reference cases.
Assumptions
- Four to 200 finite values using the explicitly stated median-of-halves convention.
Source basis
- UK-focused calculator flow
- Structured input validation
- Instant result breakdowns
FAQ
Common questions
Trust and notes
Assumptions and important notes
This calculator is designed to give a fast estimate using the method shown on the page. Results are most useful when your inputs are accurate and the tool matches your situation.
Use the result as guidance rather than a final diagnosis or professional decision. If the result could affect health, legal, financial, or compliance decisions, verify it with a qualified source where appropriate.
- Four to 200 finite values using the explicitly stated median-of-halves convention.
Method
UK calculator guidance
Last reviewed
April 17, 2026