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Class Width Calculator

Calculate class width and class interval for histograms from minimum, maximum, and number of classes with step-by-step formulas.

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What Is Class Width?

Class width is the size of each equal interval when you divide a dataset into groups for a histogram or frequency distribution. It tells you how wide each bin is along the number line, assuming all classes share the same width.

Class Width Formula

The standard formula for class width is:

$$\text{Class Width} = \frac{\text{Maximum} - \text{Minimum}}{\text{Number of Classes}}$$

The difference between maximum and minimum is called the range. Dividing the range by the number of classes gives you a uniform bin size suitable for histograms and frequency tables.

How to Use This Calculator

  • Enter the minimum value of your dataset.
  • Enter the maximum value of your dataset.
  • Specify how many classes (bins) you want.
  • The calculator returns the class width and a full table of class intervals with lower and upper limits.

Example

Test scores range from 45 to 90 across 15 students. With 9 classes, the range is $90 - 45 = 45$, so the class width is $45 / 9 = 5$. Each interval spans 5 points: 45-50, 50-55, and so on.

Frequently Asked Questions

Why is class width important?

Class width determines how data is grouped in histograms and frequency distributions. Too large a width oversimplifies the data; too small makes the distribution hard to read.

What happens if class width is too large or too small?

A class width that is too large may hide important patterns in the data. A class width that is too small can create a noisy, overly detailed distribution that is hard to interpret.

How do I calculate class width step by step?

First find the range (maximum minus minimum). Then divide the range by the number of classes. The result is your class width.

What is the range of a dataset?

The range is the difference between the maximum and minimum values: Range = Maximum - Minimum. For example, if max is 20 and min is 2, the range is 18.

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