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Lesson 5 Histograms and Box Plots
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Histograms A bar graph that is used to display the frequency of data divided into equal intervals. The bars must be of equal width and should touch but not overlap. The heights of the bars indicate the frequency of data values within each interval.
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Activity Collection of data: Every students will write their height in inches on the white board. Copy the data into your notebook. Draw a table to organize the data. Draw a histogram to represent the data.
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To draw the table What is the highest and lowest height? How many groups do you want to form? Count the number or frequency in each group.
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Table Height (inches)Frequency
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To draw a histogram What will the horizontal axis represent? What will the vertical axis represent? How is the horizontal axis organized? Plot each group in the form of a rectangular bar. The width represents the interval of each group and the height represents the frequency.
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Histogram
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Reflections What statistical information can you tell about a data set by looking at a histogram? What statistical information cannot be determined by looking at a histogram? Are the bars drawn of equal width? Are the bars touching?
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Possible answers It is easy to see the general shape and distribution of the data. It is difficult to know the actual data values.
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Assignment Listed are the scores from a golf tournament. 68, 78, 76, 69, 73, 72, 74, 76, 70, 77, 75, 74, 76, 71, 74 Create a frequency table. Use an interval width of 3 and start the first interval at 68. Use the frequency table to create a histogram.
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