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.
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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.
To help you plan your year 11 maths lesson on: Histograms with unequal bar width, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Histograms with unequal bar width, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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Explore more key stage 4 maths lessons from the Graphical representations of data: cumulative frequency and histograms unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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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
