Frequency Distribution Table >

**Class width**refers to the difference between the upper and lower boundaries of any class (category). Depending on the author, it’s also sometimes used more specifically to mean:

- The difference between the
*upper*limits of two consecutive (neighboring) classes, or - The difference between the
*lower*limits of two consecutive classes.

Note that these are different than the difference between the upper and lower limits of a class.

## Calculating Class Width in a Frequency Distribution Table

In a frequency distribution table, classes must all be the same width. This makes it relatively easy to calculate the class width, as you’re only dealing with a single width (as opposed to varying widths). To find the width:

- Calculate the range of the entire data set by subtracting the lowest point from the highest,
- Divide it by the number of classes.
- Round this number up (usually, to the nearest whole number).

## Example of Calculating Class Width

Suppose you are analyzing data from a final exam given at the end of a statistics course. The number of classes you divide them into is somewhat arbitrary, but there are a few things to keep in mind:

- Make few enough categories so that you have more than one item in each category.
- Choose a number that is easy to manipulate; usually, something between five and twenty is a good idea. For example, if you are analyzing a relatively small class of 25 students, you might decide to create a frequency table with five classes.

Example: Find a reasonable class with for the following set of student scores:

52, 82, 86, 83, 56, 98, 71, 91, 75, 88, 69, 78, 64, 74, 81, 83, 77, 90, 85, 64, 79, 71, 64, and 83.

- Calculate the range by subtracting the lowest point from the highest: the difference between the highest and lowest score: 92 – 52 = 46.
- Divide it by the number of classes: 46/5, = 9.2.
- Round this number up: 9.2≅ 10.

## References

Gleaton, James U. Lecture Handout: Organizing and Summarizing Data. Retrieved from http://www.unf.edu/~jgleaton/LectureTransCh2.doc on August 27, 2018.

Jones, James. Statistics: Frequency Distributions & Graphs. Retrieved from https://people.richland.edu/james/lecture/m170/ch02-def.html on August 27, 2018.

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