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12/3/2010 ©Evergreen Public Schools 2010 1 Compare Graphs Teacher Notes Notes: The emphasis is on reading histograms, not making them. Record (on board or poster) questions students ask about the graph.

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©Evergreen Public Schools 2010 2 Learning Target Interpreting Data Targets 3b I can summarize, represent and interpret data on one or two quantitative variables. 3c I can use units and define quantities to solve problems with an appropriate level of accuracy.

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©Evergreen Public Schools 2010 3 LaunchLaunch How the ways could you compare the ages of the parents of students in Mr. DeHaas’ class? How can we compare the Voter Turn Out of the last to major elections? What is different about the each comparison (parents and elections)?

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©Evergreen Public Schools 2010 4 ExploreExplore

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Ages of Parents How old is your mother? How old is your father? What do you expect to see when we compare the ages of parents of students? ©Evergreen Public Schools 2010 5

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6 What more can we learn about the ages of parents with two histograms? Write a question that can be answer by reading the graphs.

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©Evergreen Public Schools 2010 7 What more can we learn about the ages of parents with two boxplots? Write a question that can be answer by reading the graphs.

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©Evergreen Public Schools 2010 8 Answer your questions. What conclusions can you draw about ages of parents from a histogram but not a boxplot? What conclusions can you draw about ages of parents from a boxplot but not a histogram?

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©Evergreen Public Schools 2010 9 What is an outlier? What do you think? An outlier is an observation that lies outside the overall pattern of a distribution ( Moore and McCabe 1999 ).

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©Evergreen Public Schools 2010 10 What is an outlier? Do there appear to be any outliers in Mr. Sauter’s class? If so, how many are there? What are the outliers?

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©Evergreen Public Schools 2010 11 What is an outlier? Read about the “Inner Quartile Range” from the book The Cartoon Guide to Statistics by Gonick and Smith.

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©Evergreen Public Schools 2010 12 What is an outlier? Use patty paper to trace the inner quartile range, or IQR. Draw 1.5 times the IQR.

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©Evergreen Public Schools 2010 13 What is an outlier? Use the method described in the excerpt you read to determine if there are any outliers in Mr. Sauter’s class. If so, how many are there? What are the outliers?

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©Evergreen Public Schools 2010 14 What is an outlier? Were you right? A boxplot that shows outliers is called a modified boxplot.

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©Evergreen Public Schools 2010 15 Are the outliers obvious in the histogram?

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©Evergreen Public Schools 2010 16 Use boxplots to compare the voter turn out in the last two major elections in Washington State. Write a question that can be answer by reading the graphs. Voter Turn Out

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©Evergreen Public Schools 2010 17 Use histograms to compare the voter turn out in the last two major elections in Washington State. Write a question that can be answer by reading the graphs. 2012 2010

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©Evergreen Public Schools 2010 18 Answer your questions. What conclusions can you draw about ages of parents from a histogram but not a boxplot? What conclusions can you draw about ages of parents from a boxplot but not a histogram? Voter Turn Out

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©Evergreen Public Schools 2010 19 Team Practice We will compare the Natural Gas Bills for 2 residents in our county 2010 and 2012 elections. Ask 3 questions that can be answered by reading the graphs of both sets of data.

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©Evergreen Public Schools 2010 20

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©Evergreen Public Schools 2010 21 Answer your questions. What conclusions can you draw about the gas bills from a histogram but not a boxplot? What conclusions can you draw about the gas bills from a boxplot but not a histogram?

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©Evergreen Public Schools 2010 22 Debrief What can you look for when you compare two histograms? What can you look for when you compare two boxplots?

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©Evergreen Public Schools 2010 23 5 3 1 2 4 Learning Target Did you hit the target? 3b I can summarize, represent and interpret data on one or two quantitative variables. 3c I can use units and define quantities to solve problems with an appropriate level of accuracy.

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©Evergreen Public Schools 2010 24 Practice

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©Evergreen Public Schools 2010 25 Write a sentence that compares the graphs.

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©Evergreen Public Schools 2010 1 12/3/2010 Compare Boxplots.

©Evergreen Public Schools 2010 1 12/3/2010 Compare Boxplots.

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