Quartile and IQR Calculator
Find quartiles, the interquartile range and outliers. The result updates as you type, with the working underneath so you can check it.
Your details
Result
Median (Q2)
40.5
- Q1 (25th percentile)
- 36.75
- Q3 (75th percentile)
- 42.75
- Interquartile range
- 6
- Minimum / maximum
- 7 / 49
- Outliers (1.5 × IQR rule)
- 7, 15
- Quartiles use linear interpolation between ranks (the method used by Excel's QUARTILE.INC).
Good to know: IQR = Q3 − Q1
About this tool
Formula
IQR = Q3 − Q1
Questions people ask
How are outliers found?
A value is an outlier if it is more than 1.5 × IQR below Q1 or above Q3 (Tukey's rule).
Related tools
- Correlation CalculatorCalculate Pearson's correlation coefficient between two sets of values.
- Linear Regression CalculatorFit a least-squares line to data and predict values.
- Coefficient of Variation CalculatorCompare variability between datasets of different scale.
- Average & MedianStatistical calculations
How we calculate this
We use the standard published formula or definition for this calculation, and we show the working so you can check it.
Spotted a mistake? Tell us and we'll check it. How we check our calculators