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Math Lesson 3: Displaying Data Graphically

Hawaii DOE Content Standards: Math standard: [Data Analysis, Statistics, and Probability]-Pose questions and collect, organize, and represent data to answer those questions.

Key concept: Compare the graphs of two data sets.

Performance indicator: After completing this lesson, students will . . .

  • construct dot plots, histograms, stem-and-leaf plots, box-and-whisker

plots

  • examine the characteristics of graphed data

Vocabulary: Measures of center, mean, median, mode, spread, resistance to extremes, quartiles, five-number summary, inter-quartile range, outlier

Time: Three or four class periods

Materials: Butcher paper, tape, Post-ItTM

Notes, TI-84 calculators, View Screen

Discussion

There are many ways to represent data in a graph, and each method reveals interesting information about the data. Suppose the Hawaii Board of Realtors listed the prices of every house sold on Oahu during the past year. These pages of numbers, simply compiled in a list, would not tell us anything. But if we represented them in a graph, we would learn all sorts of things about the price of houses on Oahu. In this lesson we will learn how to construct dot plots, histograms, stem-and-leaf plots, and box-and-whisker plots. Here we go--let’s let the numbers speak to us!

Now that you have collected your data for the importance of mathematics in society question, let’s pool our data together for the entire class and see what it tells us. In order to do that, we’ll start by displaying our data in a dot plot.

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dot plot

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