High School

Assume that the classes for a frequency distribution on age of students are: 15-20,20-25,25-30,30-35, and 35-40. What is the problem with using these classes?

Answer :

The problem with using these classes for a frequency distribution on the age of students is that they are not uniformly spaced.

In a frequency distribution, classes should be defined in a way that each class has the same width. This ensures that the data is evenly spread across the classes and allows for accurate analysis and comparison of the frequencies.

In the given classes, the intervals between the classes are not equal. For example, the first class is from 15-20, the second class is from 20-25, and so on. This means that the width of each class is not consistent.

Using non-uniformly spaced classes can lead to incorrect interpretation and analysis of the data. It can make it difficult to compare frequencies between different classes because the intervals are not the same. For example, the frequency in the class 15-20 may not be directly comparable to the frequency in the class 20-25.

To address this problem, we can adjust the classes to have a uniform width. For example, we can redefine the classes as 15-20, 20-25, 25-30, 30-35, and 35-40, with each class having a width of 5. This will ensure that the data is evenly distributed across the classes and allow for accurate analysis of the frequencies.

It's important to note that when constructing a frequency distribution, we should consider the nature of the data and choose appropriate class intervals that capture the variability of the data while maintaining uniformity.

Know more about frequency distribution here:

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