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Bar Graphs, and Histograms

In statistics, various types of graphs are used to represent data efficiently. This topic covers the creation and interpretation of bar graphs and histograms.

Topic: Make and Interpret a Bar Graph

  • The scale must include all of the data values. The interval separates the scale into equal parts

  • The scale and interval should be chosen such that all the data values can be clearly marked on the graph

  • The horizontal axis is labeled with the categories and the vertical axis is labeled with the scale (data values)

  • The height of each bar represents the frequency for that category

Topic: Bar Graphs - Range, Mode, Mean, and Median

  • Range is the difference between the maximum and the minimum values in the data set

  • The mode is the value or values that occur most often. Data set may or may not have a mode

  • The mean is the sum of all the values divided by the number of values in the set

  • The median of a data set is the middle or central value chosen when all the data is in ascending order

  • If there are two middle values then median is their arithmetic mean

Topic: Make and Interpret a Histogram

  • For the horizontal axis, intervals should be equal and they must be chosen such that they cover all the values in the table

  • The scale must include all of the data values. The interval separates the scale into equal parts

  • The scale and interval should be chosen such that all the data values can be clearly marked on the graph

  • The horizontal axis is labeled with the equal intervals and the vertical axis is labeled with the scale (data values)

  • The height of each bar represents the frequency for that interval
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