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Histograms Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Histogram
A type of bar chart used to represent grouped continuous data, where the area of each bar is proportional to the frequency.
Frequency density
The height of a bar in a histogram, calculated as frequency divided by class width.
Class width
The difference between the upper and lower boundaries of a class interval in a histogram.
Frequency formula in histograms
Frequency = Frequency density × Class width.
Purpose of histograms
To display the distribution of continuous data and show how data is spread across intervals.
Difference between histograms and bar charts
In histograms, the bars touch, and the area of the bar represents frequency. In bar charts, the bars do not touch, and the height represents frequency.
Interpreting a histogram
Look at the height (frequency density) and width of each bar to determine the frequency for each class interval.
Unequal class intervals in histograms
Histograms can have unequal class intervals, but the area of the bar must still represent the frequency.
Steps to draw a histogram
1. Calculate frequency density for each class. 2. Label axes (frequency density on the vertical axis). 3. Draw bars for each class interval.
Key feature of histogram axes
The horizontal axis represents the continuous variable, and the vertical axis represents frequency density.

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