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.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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