Histogram Classes

Histogram is a graphical representation of a frequency distribution, which groups the data into intervals called classes. These classes can be overlapping or non-overlapping.

Overlapping Classes

Overlapping classes are those where the data can fit into more than one class. The boundaries of the classes overlap with each other. For example, if the classes are 0-5, 4-9, 8-13, etc., then the data point 4 can belong to the first class or the second class.

Advantages of Overlapping Classes

- Overlapping classes can be more flexible in accommodating the data points that fall near the boundaries of the classes.
- Overlapping classes can be helpful in detecting trends or patterns that may not be apparent in non-overlapping classes.

Disadvantages of Overlapping Classes

- Overlapping classes can be more complex to interpret.
- Overlapping classes can lead to double-counting of data points.

Non-Overlapping Classes

Non-overlapping classes are those where each data point fits into only one class. The boundaries of the classes do not overlap with each other. For example, if the classes are 0-5, 6-10, 11-15, etc., then the data point 4 can only belong to the first class.

Advantages of Non-Overlapping Classes

- Non-overlapping classes can be easier to interpret.
- Non-overlapping classes eliminate the possibility of double-counting of data points.

Disadvantages of Non-Overlapping Classes

- Non-overlapping classes may not be able to accommodate the data points that fall near the boundaries of the classes.
- Non-overlapping classes may miss out on detecting trends or patterns that may be present in the data.

Conclusion

In histogram, the classes can be overlapping or non-overlapping. Overlapping classes can be more flexible in accommodating the data points, while non-overlapping classes can be easier to interpret.