Interquartile Range Calculator

Compute the interquartile range (IQR) as the difference between the third and first quartiles.

Interquartile Range (IQR)

50.0000

Lower Fence (Q1 - 1.5*IQR)-50.0000
Upper Fence (Q3 + 1.5*IQR)150.0000

Interquartile Range (IQR) vs First Quartile (Q1)

सूत्र देखें →

सूत्र

## 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.

हल किया गया उदाहरण

A dataset has Q1 = 25 and Q3 = 75. Find the IQR and outlier fences.

  1. 01IQR = 75 - 25 = 50
  2. 02Lower Fence = 25 - 1.5 * 50 = 25 - 75 = -50
  3. 03Upper Fence = 75 + 1.5 * 50 = 75 + 75 = 150
  4. 04Any value below -50 or above 150 is a potential outlier