Transcript Unit 2 (2.1-2.4, 13.2) Real Numbers and Matrices

Unit 3 Statistics
Common Core Standard:
S.ID.1 Represent data with plots on the real
number line (dot plots, histograms, and box plots)
Students are shown a jar of candy and have to
guess the amount of pieces they think are in the
jar. The class then uses the guesses in order to
complete the task of making stem and leaf plots,
line plots, histograms, and box-plots.
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Measures of Variation/Box –and-Whisker Plots
worksheet
13.5 Glencoe Algebra resources (create power pint to
assist student's with “fill in the blanks” note
sections)
-See attached power point
http://www.brainpop.com/math/probability/mean
medianmodeandrange/
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#4: Model with Mathematics
#5: Use appropriate tools
strategically
#6 Attend to precision
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13.4/13.5
Measures of Variation/
Box-and-Whisker Plots
 Find the range of a set of data.
 Find the quartiles and interquartile range of a set of data.
 Organize and use data in box-and-whisker plots.
 Organize and use data in parallel box-and-whisker plots.
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How many pieces of candy do you think
there are in the jar???
 Review of box plots, stem and leaf plots, and
histograms.
 We will be making a box-and-whisker later!
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Notes:
 Range: biggest - smallest number
 Measures of Central Tendency
 Mean
 Median
 Mode
 Measure of Variation (measures the spread of the
data)
 Range
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Box-and-Whisker Vocabulary:
 Quartiles: values that separate the data into 4 equal
parts.
• Q1  Lower Quartile
• Q2  Median
• Q3  Upper Quartile
 Interquartile range (IQR): Q3 - Q1
 Extreme values: lowest and highest #’s
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What does a box-and-whisker plot look
like?
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How do you make a box-and-whisker plot?
1. Enter the data into your calculator.
2. Get the following from “1 Var Stats”:





3.
4.
5.
6.
Min
Q1
Median
Q3
Max
Draw a scale on your paper.
Put dots at the Min and Max Values.
Put lines at Q1, Med, and Q3.
Connect the lines and dots!
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Final
Vocabulary:
 Outlier: a value that is much less or much greater
than the rest of the data.
 How do you find any outliers?

Multiply your IQR by 1.5. Subtract this value from Q1 and add
it to Q3. If any data points are outside of this, they are
outliers.
 Parallel Box-and-Whisker Plots: two box-and-
whiskers on the same scale (label each)
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It’s Calculator Time!
 We can use our calculator to graph box-and-whisker plots!
Directions:
 Enter your data into L1 (STAT, EDIT)  data on next slide!
 Choose the box-and-whisker plot (2nd Y=, Plot 1)
 Show the graph (ZOOM 9)
 Check Q1, Q2, Q3 (TRACE, use arrows)
We can even graph box-and-whisker plots that show
the outliers!
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13.4/13.5
Measures of Variation/
Box-and-Whisker Plots
Find the quartiles and interquartile range of a set of data.
 Organize and use data in box-and-whisker plots.
 Organize and use data in parallel box-and-whisker plots.
Review all of the graphs we have learned in this unit.
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Guided Practice
 Make parallel box-and-whisker plot of class data.
 Individual questions reviewing graphs
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1. 13 Original States
State
Area (thousand square miles)
Connecticut
6
Delaware
2
Georgia
59
Maryland
12
Massachusetts
11
New Hampshire
9
New Jersey
9
New York
54
North Carolina
54
Pennsylvania
46
Rhode Island
2
South Carolina
32
Virgina
43
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2. Baseball Teams
 Create a double box-and-whisker plot given the
number of wins in the 2004 and 2006 baseball seasons.
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Individual Practice
 For #1-4 use the “number of pieces of candy in the jar”
class data
 For #5-8 use the parallel box-and-whisker plot to
answer the questions.
 For #9-10 use the number of earthquakes to create the
box-and-whisker and find outliers.
 For #11-13 use the all-time record high temperature for
the 50 states.
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Extension:
Tying Everything Together!
 Fruit Loops Activity! (worksheet and fruit loops)
 Review of all the graphs we have learned!
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