Interquartile Range Calculator

Interquartile Range Calculator calculator can be used to measure statistical dispersion by finding the range between the first and third quartiles in a dataset.

Input Parameters

Calculation Results

Calculation Formula

IQR = Q3 - Q1

Where:
Q1 = First quartile (25th percentile)
Q3 = Third quartile (75th percentile)

Sorted Data:

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Data Count:

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First Quartile (Q1):

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Third Quartile (Q3):

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Interquartile Range (IQR):

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Interquartile Range Calculator Calculator Usage Guide

Learn how to use the Interquartile Range Calculator and understand its significance in statistics

What is Interquartile Range (IQR)?

The Interquartile Range (IQR) is a measure of statistical dispersion, representing the range between the first quartile (25th percentile) and the third quartile (75th percentile) in a dataset. It measures the spread of the middle 50% of the data.

How to use this calculator

  1. Enter your data values in the input field, separated by commas (e.g., 3, 7, 8, 5, 12, 14, 21, 13, 18, 9)
  2. Click the "Calculate" button to process your data
  3. The calculator will display the sorted data, quartiles, and the IQR

Interpreting the Results

The calculator provides:

  • Sorted Data: Your data values arranged in ascending order
  • First Quartile (Q1): The median of the lower half of your data
  • Third Quartile (Q3): The median of the upper half of your data
  • Interquartile Range (IQR): The difference between Q3 and Q1

Significance of IQR

The IQR is a robust measure of dispersion that is not affected by outliers. It is particularly useful in:

  • Identifying outliers in a dataset
  • Comparing the spread of different datasets
  • Creating box plots
  • Statistical analysis when the data might be skewed

Example

For the dataset: 3, 7, 8, 5, 12, 14, 21, 13, 18, 9

Sorted: 3, 5, 7, 9, 12, 13, 14, 18, 21
Q1 (25th percentile) = 7
Q3 (75th percentile) = 14
IQR = 14 - 7 = 7