Calculadora de Amplitude Interquartil (IQR)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
IQR = Q3 − Q1
About this calculator
The Interquartile Range (IQR) Calculator is a statistical tool that measures data dispersion by calculating the difference between the third quartile (Q3) and the first quartile (Q1). The IQR represents the range containing the central 50% of the data, being less sensitive to outliers than the total range. To calculate, the data is sorted from smallest to largest, then Q1 is the median of the lower half and Q3 is the median of the upper half. The result is a number indicating data variability.
Use this calculator when you need to understand the distribution of a dataset, especially to identify outliers or compare dispersion between different groups. For example, in salary analysis, the IQR shows the variation between lower and higher salaries, excluding extremes. It is also useful in finance, quality control, and scientific research. Simply enter your numeric data separated by commas or spaces, and the calculator returns the IQR automatically.
Important caveats: IQR is calculated only for numeric and ordered data. Ensure your data is correct and contains no non-numeric values. Additionally, the method for calculating quartiles may vary; this calculator uses the standard inclusive method (Tukey). IQR should not be used alone to describe distribution; combine it with the median and other plots like boxplots for a complete analysis.
Frequently asked questions
What if my data has repeated values?
Repeated values are treated normally; they are included in sorting and quartile calculation.
How to interpret a high IQR?
A high IQR indicates large dispersion in the central 50% of the data, suggesting significant variability.
Can IQR be negative?
No, IQR is always non-negative because Q3 is greater than or equal to Q1.
Does this calculator handle data with many digits?
Yes, it processes decimal and integer numbers without issues, as long as they are numeric.
What is the difference between IQR and standard deviation?
IQR is resistant to outliers, while standard deviation is sensitive to them; both measure dispersion.