[Math] Correct definition of frequency density – histograms

statisticsterminology

What is the correct definition of frequency density?

According to a textbook I am teaching from, frequency density is merely proportional to $\dfrac{\text{frequency}}{\text{class width}}$, and could be a multiple of $\dfrac{\text{frequency}}{\text{class width}}$.

This seems wrong to me. For example, one would not say that population density could be $2\times\dfrac{\text{population}}{\text{area}}$. So why is it OK to do this with frequency density? Is the textbook misusing the term 'frequency density'?

Best Answer

Frequency density is defined as the ratio of the frequency of a class to its width. There is no proportionality constant or anything of that sort.

I feel this page will help you. I am afraid the book is wrong.