Class intervals are a way to group a set of data into manageable, organized segments. This is commonly used in statistics and data analysis to make data easier to interpret and analyze.

For example, let’s say we have a set of data that represents the heights of a group of people. This data may be a list of numbers, such as 5 feet, 6 feet, 7 feet, and so forth. We can use class intervals to group this data into more manageable segments, such as:

5-6 feet

6-7 feet

7-8 feet

This allows us to easily see how many people fall into each height range. For instance, if we have 10 people in the 5-6 feet range, 5 people in the 6-7 feet range, and 3 people in the 7-8 feet range, we can quickly see that the majority of our group is between 5-6 feet tall.

Another example of class intervals can be seen in a survey asking people how often they exercise. The data may be a list of responses such as “never”, “rarely”, “sometimes”, and “always”. We can use class intervals to group these responses into more meaningful segments, such as:

Never: 0-10% of respondents

Rarely: 11-30% of respondents

Sometimes: 31-70% of respondents

Always: 71-100% of respondents

This allows us to easily see the distribution of responses within the survey and determine how many people fall into each exercise frequency category.

Overall, class intervals are a useful tool for organizing and analyzing data. They allow us to group data into manageable segments, making it easier to interpret and draw conclusions from the data.