Free Quartiles & IQR Calculator
Q1, median, Q3 and interquartile range with outlier bounds.
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Result
Interquartile range (IQR)
29.500
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Short answer
Q1, median, Q3 and interquartile range with outlier bounds.
What is the Quartiles & IQR Calculator?
Q1, median, Q3 and interquartile range with outlier bounds.
How does the Quartiles & IQR Calculator work?
Enter the inputs above and read the result.
Formula
Variables
Q1, Q3Medians of lower and upper halves
Explanation
Outliers are commonly flagged as values beyond 1.5×IQR below Q1 or above Q3.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Quartiles & IQR Calculator sits inside the Math Calculators hub, in the statistics & probability cluster. Describing data and quantifying uncertainty. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Quartiles & IQR
Q1, median, Q3 and interquartile range with outlier bounds. Within math calculators, quartiles & iqr belongs to the statistics & probability cluster, where it shares terminology and assumptions with closely related tools.
Learning how quartiles & iqr is calculated
Outliers are commonly flagged as values beyond 1.5×IQR below Q1 or above Q3. Working through the variables one at a time — Q1, Q3 — makes the result reproducible by hand and easier to sanity-check.
Using quartiles & iqr to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How quartiles & iqr compares with related measures
distribution, dispersion, significance, sample all describe adjacent aspects of statistics & probability. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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