How do you calculate the frequency density of a histogram?

To calculate the frequency density of a histogram, you divide the frequency of each class by the width of that class. Frequency density is a measure that allows you to represent frequencies not just as counts but in a way that accounts for varying class widths.

In a histogram, the height of the bars reflects the frequency density rather than just the frequency, especially when class intervals differ in size. By dividing the frequency by the class width, you standardize the data for comparison, ensuring that larger classes do not unfairly skew representations of frequency.

For example, if a histogram class has a frequency of 20 and a class width of 5, the frequency density would be calculated as 20 divided by 5, resulting in a frequency density of 4. This indicates that there are, on average, 4 occurrences per unit width of the class interval. This calculation is crucial in accurately interpreting the shape and distribution of the data represented by the histogram.