Calculadora de Rango Intercuartílico Gratis
Calcula el IQR para medir la dispersión del 50% central de tus datos. Detecta valores atípicos.
Interquartile Range (IQR)
50.0000
Interquartile Range (IQR) vs First Quartile (Q1)
Fórmula
## How to Calculate the Interquartile Range ### Formula **IQR = Q3 - Q1** Q1 is the value below which 25% of observations fall, and Q3 is the value below which 75% fall. The IQR captures the spread of the middle 50% of the data, ignoring extreme tails. ### Outlier Fences Values below Q1 - 1.5*IQR or above Q3 + 1.5*IQR are considered potential outliers by the Tukey fence rule.
Ejemplo Resuelto
A dataset has Q1 = 25 and Q3 = 75. Find the IQR and outlier fences.
- 01IQR = 75 - 25 = 50
- 02Lower Fence = 25 - 1.5 * 50 = 25 - 75 = -50
- 03Upper Fence = 75 + 1.5 * 50 = 75 + 75 = 150
- 04Any value below -50 or above 150 is a potential outlier
Preguntas Frecuentes
Why use IQR instead of range?
The IQR is resistant to outliers because it only considers the middle 50% of the data, while the range depends on the two most extreme points.
What is the 1.5*IQR rule?
It is a common heuristic for flagging outliers. Points more than 1.5 times the IQR below Q1 or above Q3 are considered potential outliers. Using 3*IQR flags extreme outliers.
How do I find Q1 and Q3?
Sort the data, then Q1 is the median of the lower half and Q3 is the median of the upper half. Use the Quartile Calculator for automated computation.
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