# What is the Modal Class Interval?

## How do you work out the modal class interval?

You can understand the meaning of modal class interval by examining the meaning of each term in the phrase. Modal means the one that occurs most often (averages: mode). In maths, the mode is one of the most common ways to describe a set of data. A class interval is the width of one of your groups in the frequency table or, the class interval is what you use when grouping data together. The modal class is, therefore, the group with the highest frequency. For example: if you counted the number of pencils in different pencil cases and you decided to group them. You might record how many pencil cases had 1 to 5 pencils in, how many had 6 to 10 pencils in, how many had 11 – 15 pencils, etc, up to whatever number is practical. In this example, your class intervals are:

• 1 – 5 pencils,  2 pencil cases
• 6 – 10 pencils, 4 pencil cases
• 11 – 15 pencils, 6 pencil cases
• 16 – 20 pencils, 1 pencil case.

If you found that there were more pencil cases with 11 – 15 pencils in than any other class interval, then 11 – 15 is your modal class interval.

This is answered by examining the meaning of each term in the phrase: modal means the one that occurs most often (averages: mode), a class interval is the width of one of your groups in the frequency table or, the class interval is what you use when grouping data together, e.g., if you counted the number of pencils in different pencil cases and you decided to group them. You might record how many pencil cases had 1 to 5 pencils in, how many had 6 to 10 pencils in, how many had 11 - 15 pencils, etc, up to what ever number is practical. So you class intervals are 1 - 5 pencils, 6 - 10 pencils, 11 - 15 pencils, 16 - 20 pencils, etc. If you found that there were more pencil cases with 11 - 15 pencils in than any other class interval, then 11 - 15 is your modal class interval. Please feel free to contact me if you want more information on this topic.
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