Research Tools

Interquartile Range Calculator

Interquartile Range Calculator

Data & settingsLive analysis
Separate values with commas, spaces, semicolons, or new lines. Use a period for decimal values.
2
1.5×
8 valid values
Interquartile range (IQR)
5.75
Middle 50% spread: Q3 − Q1
Q1
3.50
25th percentile
Median
7.50
50th percentile
Q3
9.25
75th percentile
Lower fence
-5.13
Q1 − 1.5×IQR
Upper fence
17.88
Q3 + 1.5×IQR
Flagged values
0
Outside selected fences
Box plotWhiskers stop at the most extreme non-outlier values
Minimum1.00
Maximum12.00
Range11.00
Semi-IQR2.88
Lower whisker1.00
Upper whisker12.00
No values are outside the selected outlier fences.
How this is calculated
IQR = Q3 − Q1 = 9.25 − 3.50 = 5.75
Fences = Q1 − 1.5×IQR and Q3 + 1.5×IQR

This Interquartile Range Calculator finds the first quartile (Q1), median, third quartile (Q3), interquartile range (IQR), outlier fences, whiskers, and potential outliers from a numerical dataset. The IQR measures the spread of the middle 50% of observations and is calculated as Q3 minus Q1, making it a useful robust measure of variability when data contain unusually large or small values. Enter raw values separated by commas, spaces, semicolons, or new lines and the results update instantly. You can choose a common quartile convention, adjust the outlier-fence multiplier, control displayed precision, inspect a live box plot, review the sorted dataset, and copy a concise result summary. Because statistical software can use different sample-quantile definitions, the selected quartile method is always shown so your result can be reproduced accurately in research, coursework, data analysis, and descriptive statistics reporting.

About the author

Muhammad Hassan

Muhammad Hassan writes about research design, academic methods and data-analysis concepts for ResearchMethod.net. His work focuses on presenting methodological topics in clear language for students and early-career researchers. Articles are developed from recognized methodological literature and official software documentation.

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