Summary statistics from histograms
I can estimate the mean and median from a histogram.
Summary statistics from histograms
I can estimate the mean and median from a histogram.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The mean can be found using a histogram
- The median can be found using a histogram
- An estimate for the frequency within a given data range can be found
Keywords
Arithmetic mean - The (arithmetic) mean for a set of numerical data is the sum of the values divided by the number of values. It is a measure of central tendency representing the average of the values.
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.
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.
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: Summary statistics from histograms, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Summary statistics from 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.
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Starter quiz
6 Questions





Exit quiz
6 Questions


