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12/3/2010©Evergreen Public Schools
2010
1
Compare GraphsTeacher Notes
Notes: The emphasis is on reading histograms, not making them.
Record (on board or poster) questions students ask about the graph.
©Evergreen Public Schools 2010
2
Interpreting Data Targets3b 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.
©Evergreen Public Schools 2010
3
LaunchLaunchLaunchLaunch• 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)?
©Evergreen Public Schools 2010
4
Ages of ParentsAges 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
©Evergreen Public Schools 2010
6
Ages of ParentsAges of ParentsWhat more can we learn about the ages of
parents with two histograms?
Write a question that can be answer by reading the graphs.
©Evergreen Public Schools 2010
7
Ages of ParentsAges of ParentsWhat more can we learn about the ages of
parents with two boxplots?
Write a question that can be answer by reading the graphs.
©Evergreen Public Schools 2010
8
Ages of ParentsAges of Parents
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?
©Evergreen Public Schools 2010
9
What is an outlier?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).
©Evergreen Public Schools 2010
10
What is an outlier?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?
©Evergreen Public Schools 2010
11
What is an outlier?What is an outlier?
• Read about the “Inner Quartile Range” from the book The Cartoon Guide to Statistics by Gonick and Smith.
©Evergreen Public Schools 2010
12
What is an outlier?What is an outlier?
• Use patty paper to trace the inner quartile range, or IQR.
• Draw 1.5 times the IQR.
©Evergreen Public Schools 2010
13
What is an outlier?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?
©Evergreen Public Schools 2010
14
What is an outlier?What is an outlier?
• Were you right?
A boxplot that shows outliers is called a modified boxplot.
©Evergreen Public Schools 2010
15
What is an outlier?What is an outlier?
• Are the outliers obvious in the histogram?
©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 OutVoter Turn Out
©Evergreen Public Schools 2010
17
Voter Turn OutVoter Turn Out
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.
20122010
©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 OutVoter Turn Out
©Evergreen Public Schools 2010
19
Team PracticeTeam 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.
©Evergreen Public Schools 2010
20
Team PracticeTeam Practice
©Evergreen Public Schools 2010
21
Team PracticeTeam Practice
• 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?
©Evergreen Public Schools 2010
22
DebriefDebrief
• What can you look for when you compare two histograms?
• What can you look for when you compare two boxplots?
©Evergreen Public Schools 2010
23
5
3
12
4
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.
©Evergreen Public Schools 2010
24
PracticePractice
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25
Ticket Out
Write a sentence that compares the graphs.
