Tables and charts
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Frequency tables represent large amounts of data in a more efficient way. The mean of grouped data = (frequency × class midpoint)/total frequency. This example tables test scores.
In a frequency diagram, frequencies are plotted against the midpoints of each group and connected by straight lines. Cumulative frequency diagrams plot a running total frequency against the upper bounds of classes.
Bar charts represent the frequency of grouped data by the height of bars, with gaps between the groups. Use a key when comparing 2 sets of data on the same bar chart.
Pie charts are useful to visually represent and compare the sizes of sets of data; calculate the angles of each segment using the equation below. A protractor and compass are needed to draw pie charts.
Vertical line charts represent ungrouped, discrete data with vertical lines that don’t touch each other.
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