Introduction:
Histogram is a graphical representation of a frequency distribution. It is constructed by using class intervals and frequencies. Class intervals are the ranges of values that are grouped together in a frequency distribution.

Equal or Unequal Class Intervals:
The class intervals of a frequency distribution can be either equal or unequal. Whether the class intervals should be equal or unequal depends on the nature of the data and the purpose of the histogram.

Equal Class Intervals:
Equal class intervals are used when the data is continuous and uniformly distributed. In this case, the class intervals are of equal width. For example, if the data ranges from 0 to 100 and we want to use 10 class intervals, each interval will be of width 10 (0-10, 10-20, 20-30, etc.). Equal class intervals make it easier to compare the frequencies of different intervals.

Unequal Class Intervals:
Unequal class intervals are used when the data is not uniformly distributed. In this case, the class intervals are of unequal width. For example, if the data ranges from 0 to 100 and we want to use unequal class intervals, we can have wider intervals for the lower values and narrower intervals for the higher values. This will help us to capture the details of the distribution in the histogram.

Conclusion:
In conclusion, whether the class intervals should be equal or unequal depends on the nature of the data and the purpose of the histogram. Equal class intervals are used when the data is continuous and uniformly distributed, while unequal class intervals are used when the data is not uniformly distributed.

Equal or unequal