Moving between tables and histograms
I can construct a table from a histogram.
Moving between tables and histograms
I can construct a table from a histogram.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A frequency table can be used to construct a histogram
- A histogram can be used to construct a frequency table
- Data is sometimes collected using uneven class widths
Keywords
Continuous data - Continuous data can take any value within a range. (Height, mass, temperature)
Histogram - A histogram is a diagram consisting of rectangles whose area is proportional to the frequency in each class and whose width is equal to the class interval.
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: Moving between tables and histograms, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Moving between tables and histograms, 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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The assessment exit quiz will test your pupils' understanding of the key learning points.
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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
$$0 < t \leq 10$$ -
Frequency density = 0.4
$$10 < t \leq 15$$ -
Frequency density = 1.6
$$15 < t \leq 20$$ -
Frequency density = 4
$$30 < t\leq 50$$ -
Frequency density = 0.25
$$0 < l \leq 5$$ -
12
$$5 < l \leq 10$$ -
15
$$10 < l \leq 14$$ -
20
$$15< l \leq 16$$ -
4
$$0 < t \leq 10$$ -
Frequency = 4
$$10 < t \leq 15$$ -
Frequency = 8
$$15 < t \leq 20$$ -
Frequency = 20
$$20 < t \leq 30$$ -
Frequency = 16
$$30 < t\leq 50$$ -
Frequency = 5
$$0 < t\leq 2$$ -
Frequency = 10
$$2 < t \leq 4$$ -
Frequency density = 6
$$4 < t \leq 5$$ -
Frequency = 15
$$5 < t\leq 10$$ -
Frequency density = 2.8
$$10 < t \leq 12$$ -
Frequency density = 2.5