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Frequency Tables, Stem and Leaf Plots and Line Plots

In this topic, we will learn to organize and interpret data in frequency tables, stem-and-leaf plots and line plots.

Topic: Make a Frequency Table

  • The scale includes all of the data. For example,
    Dataset: 2, 10, 20, 6, 17, 3
    Scale = 0 - 20

  • The scale has to be suitable so that we can divide it into regular intervals

  • The interval separates the scale into equal parts

  • Tally marks are counters used to record items in a group

  • After four tally marks, the fifth is represented as a strikeout

Topic: Frequency Tables and Interpretations

  • Tally marks are counters used to record items in a group

  • The number of tally marks denotes number of pieces of data (frequency)

  • The cumulative frequency of a dataset is the sum of all preceding frequencies

Topic: Line Plots

  • A line plot is a diagram that shows the frequency of the data on a number line. An 'X' is placed above the number on the number line each time that data value occurs

  • The range of data is the difference between the least and the greatest numbers in the data set. This value is helpful in seeing how the data are spread out

  • Cluster is the portion of the line plot where the data appear to cluster, or group closely together

  • A gap on the line plot is the region where no value from the data set lies in the range

  • An outlier is a value that is quite separated from the rest of the data. An outlier can be a very small value or a very large value as compared to the rest of the values of the data set

Topic: Stem-and-Leaf Plots

  • In a stem-and-leaf plot, the data are organized from least to greatest. The digits of the least place value usually form the leaves, and the next place value digits form the stems

  • To find the total number of data values on a plot, count the number of leaves for all the stems

  • The left most value of first stem gives the least value of the data set

  • The right most value of the last stem is the greatest value of the data set

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