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Stem and Leaf Plots and Histograms

In this topic, we learn to make and read stem-and-leaf plots and histograms.

Topic: Make and Interpret Stem- and- Leaf Plots

  • A stem-and-leaf plot shows data arranged from least to greatest and organized by place value. You can use a stem-and-leaf plot when you want to display data in an organized way that allows you to see each value

  • The “stems” are the tens digits of the data points. The “leaves” for each stem are all the ones digits in the data points that begin with that stem

  • The least stem and least leaf give the least value. The greatest stem and greatest leaf give the greatest value

  • Mean = (Sum of all the values) / (Number of items). Median = Mean of the two middle values for an even number of items when the data are arranged in numerical order

  • To find the mode, look for the number that occurs most often in a row of leaves. Then identify its stem. The range is the difference between the greatest and least value

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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