Histograms with unequal bar width
I can construct a histogram from a table.
Histograms with unequal bar width
I can construct a histogram from a table.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Sometimes data is presented using unequal class widths
- In order to compare, frequency density is used
- Frequency density is proportional to the frequency per unit for the data in each class
- Frequency is proportional to the area of the bar
Keywords
Frequency density - Frequency density is proportional to the frequency per unit for the data in each class. Often, the multiplier is 1 meaning that frequency density = frequency ÷ class width.
Common misconception
Histograms with unequal bar widths are plotted against the frequency and/or pupils read the frequency density as the frequency of the class width.
Show what a histogram with unequal bar widths looks like when plotted against frequency. This visual aid will show pupils the distribution of data is difficult to see.
Licence
Starter quiz
6 Questions




Exit quiz
6 Questions
Frequency density -
is proportional to the frequency per unit for the data in each class.
Population density -
is the number of people living per unit of area.
Substance density -
is measured as the substance's mass per unit of volume.

$$0 < w \leq 5$$ -
Frequency density = 4
$$5 < w \leq 15$$ -
Frequency density = 2
$$15 < w \leq 30$$ -
Frequency density = $$\frac{4}{3}$$

$$0 < l \leq 15$$ -
Frequency density = 1.6
$$15 < l \leq 20$$ -
Frequency density = 4
$$20 < l \leq 30$$ -
Frequency density = 1.4
$$30 < l \leq 35$$ -
Frequency density = 3.2
