Histogram and Frequency Density

HTML Bold Tag: Histogram and Frequency Density

Histogram is a graphical representation of the frequency distribution of continuous data. It consists of a series of bars of equal width, with the height of each bar representing the frequency of a particular class interval.

Frequency density is a ratio of the frequency of a class interval to the width of that class interval. It is represented by the formula:

Frequency density = frequency / class width

HTML Bold Tag: Use of Frequency Density in the Construction of Histogram

When the classes in a frequency distribution are of unequal width, the use of frequency density is necessary in the construction of a histogram. This is because the height of each bar in a histogram represents the frequency density, not the frequency itself.

To calculate the height of each bar in a histogram, the frequency density of each class interval is multiplied by a common factor that ensures that the area of each bar is proportional to the frequency of the corresponding class interval.

HTML Bold Tag: Advantages of Using Frequency Density in Histogram

Using frequency density in the construction of a histogram has several advantages:

1. It allows for the comparison of the distribution of data with different class intervals.

2. It ensures that the area of each bar in the histogram is proportional to the frequency of the corresponding class interval.

3. It provides a more accurate representation of the distribution of data.

HTML Bold Tag: Conclusion

In conclusion, frequency density is used in the construction of a histogram when the classes are of unequal width. It allows for a more accurate representation of the distribution of data and ensures that the area of each bar in the histogram is proportional to the frequency of the corresponding class interval.