Statistics

Interquartile Range (IQR) Calculator

Calculate Interquartile Range (IQR) online easily. Enter your dataset to find IQR, Q1, and Q3. Understand data spread with this free IQR calculator.

IQR Calculation Zone

Enter your dataset as comma-separated numbers to calculate the Interquartile Range.

Minimum 4 numbers are required for IQR calculation.

Calculation Results

Q1 (First Quartile)
Q3 (Third Quartile)
Interquartile Range (IQR)

Visualizing IQR

A simple visualization to represent the spread of data and the Interquartile Range.

Understanding Interquartile Range (IQR)

The Interquartile Range (IQR) is a measure of statistical dispersion, representing the spread of the middle 50% of your dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).

Why is IQR Important?

  • Robust to Outliers: Unlike the range, IQR is not affected by extreme values, making it a robust measure of spread.
  • Central Tendency: IQR, along with the median (Q2), provides a good sense of the central tendency and variability of a dataset, especially for skewed distributions.
  • Data Comparison: Useful for comparing the spread of different datasets. A smaller IQR indicates less variability in the middle 50% of the data.

How to Use This Calculator:

Simply enter your dataset as comma-separated numbers in the input field above and click 'Calculate IQR'. The results, including Q1, Q3, and IQR, will be displayed instantly. Use the visualization to understand the data spread graphically.

Learn more about IQR on resources like Wikipedia.

Frequently Asked Questions

What is the Interquartile Range (IQR) Calculator?
The Interquartile Range (IQR) Calculator is an online Statistics calculator. You enter your values, and it returns the answer with the steps shown so you can follow along.
How accurate is the Interquartile Range (IQR) Calculator?
The solver uses a math engine that avoids the floating-point rounding errors you get from most hardware calculators. For typical homework and professional calculations, the results will match what you would get by hand.
Can I use the Interquartile Range (IQR) Calculator for professional Statistics projects?
Yes. The math behind it is standard Statistics, so the results are reliable for professional use. That said, always double-check that your inputs are in the right format before relying on the output.
Why use the Interquartile Range (IQR) Calculator instead of calculating by hand?
Manual calculation is slow and error-prone, especially with multiple steps. This tool does the arithmetic for you and shows each step, so you can catch mistakes before they carry forward.
How do I format my inputs for the Interquartile Range (IQR) Calculator?
Type your numbers into the input fields. Leave out units and symbols unless a field specifically asks for them. The solver handles the rest.