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plugin-Chapter 11 Students(1)

# plugin-Chapter 11 Students(1) - Displaying Distributions...

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CHAPTER 11 Displaying Distributions with Graphs

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HISTOGRAMS Pie charts and bar graphs display the distribution of categorical variables. How can we present the distribution of a quantitative variable? Quantitative variables usually take too many different values to create a separate group for each value. Alternatively, we group values that are close to each other into classes and present the distribution in a histogram.
HOW TO MAKE A HISTOGRAM 1. Divide the range of the data into classes of equal width. Specify the classes precisely so that each individual falls into exactly one class. 2. Count the number of individuals in each class. 3. Draw the histogram: Mark the scale for the variable whose distributions you are displaying on the horizontal axis. The vertical axis contains the scale of counts. Each bar represents a class, the bar height is the class count. There is NO horizontal space between the bars unless a class is empty, which has a bar of height zero.

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EXAMPLE 11.1 I constructed a histogram for the exam 1 scores from the fall semester in 2009: Exam 1 Score Number of students 50 to 54.9 2 55 to 59.9 0 60 to 64.9 4 65 to 69.9 10 70 to 74.9 14 75 to 79.9 17 80 to 84.9 19 85 to 89.9 22 90 to 94.9 20 95 to 100 16
HISTOGRAM EXAMPLE 0 5 10 15 20 25 50 to 54.9 55 to 59.9 60 to 64.9 65 to 69.9 70 to 74.9 75 to 79.9 80 to 84.9 85 to 89.9 90 to 94.9 95 to 100 Number of Students Exam 1 Score Exam Performance

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