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```									 AP Stat Day 8
71 Days until AP Exam
Displaying Categorical Data
Bar Graphs, Pie Charts
Intro to Displaying Numerical Data
Stem and Leaf Plots, Dot Plots
Today’s Objectives
• Content Objective: I will be able to display
categorical data in a bar graph and pie
chart. I will be able to display numerical
data in a dot plot and stem and leaf plot.
• Language Objective: I will work
collaboratively to create each of the above
graphs using class data.
Review
•   An individual is…
•   A variable is…
•   Categorical data is…
•   Quantitative data is…
•   All numerical data is quantitative- true or
false?
Examples
Purchase    Name        Ship to        Price   Area Code
Order
10675489   Katharine      Ohio         10.99     440

10783489   Samuel        Illinois      16.99     312

12837593     Chris     Massachusetts   15.98     413

Distribution
• The pattern of
variation that
tells us what values the
variable takes and how
often it takes these values.
Categorical Variables
• The values of a categorical variable are
the categories’ labels (Ex: Male or
Female)
• The distribution lists the categories and
the count or percent of individuals
that fall into that category.
Making a Bar Graph

The x-axis labels are the categories

The y-axis labels are counts or percents

The bars DO NOT touch

The graph needs a title as do the x- and
y-axes.
Example
• To the right is             1st
Class
2nd
Class
3rd
Class
Crew   Total

data from the
Titanic. Make a
bar chart from     Alive   203     118     178     212    711
the data.

Dead    122     167     528     673    1490

Total   325     285     706     885    2201
may look pretty, they
can make a bar graph
• Also beware that the
scale on the graph is
clearly labeled and
Making a Pie Chart

You must           The pie
include all        “slices” are
categories that    the categories
make up the
whole data.

Your pie chart      The size of the
needs a key         pie slices
and a title         represents the
% the category
occupies
Example
• Using the Titanic               1st   2nd   3rd
Class Class Class
Crew   Total

data, make a pie
ticket type.           Alive   203   118   178   212    711

Dea     122   167   528   673    1490
d

Total   325   285   706   885    2201
Activity Part 1
• Of the following, which is your favorite
color?
Red
Blue
Green
Purple
Black

• Now, take the data we
collected, and on pg. 6 of your
journal create a bar
graph and a pie chart.
Displaying Numerical Data
• We will learn many ways to display
numerical and quantitative data.
• One we used the other day in class- the
dot plot.
• Today we will also learn about the stem
and leaf plot (called stemplot for short)
Making a Dot Plot

The y axis is not labeled, but dots
The x-axis is
are stacked on common values
labeled with
giving height at certain x-values.
numbers

The dot plot needs a title, as does the x axis
Example
• To the right are       170   132
winning times of the   158   162
Kentucky Derby.
158   134
Create a dot plot of
this data.             160   160
159   159
133   155
158   158
163   161
158   133
160   166
Making a Stem Plot
• A vertical line is drawn
• The left side of the line contains the
“stems”
• The right side of the line contains the
“leaves”
• The plot needs a key and a title.
Example
• Make a stem and leaf   88   56   72
plot from the pulse    60   80   68
data on the right.
72   80   84
64   72   80
76   64   76
84   76   72
76   64   80
64   68   68
Splitting Stems
• Sometimes the distribution is unclear in a
standard stem and leaf plot.
• One way to remedy this is to split the
stems- meaning write the “stem” twice and
have the “leaves” for 0-4 on one stem and
5-9 on the second stem.
Example
• Using the pulse data,      88   56   72
let’s practice splitting   60   80   68
the stems.
72   80   84
64   72   80
76   64   76
84   76   72
76   64   80
64   68   68
Distribution Characteristics
• Outlier- An individual observation
that falls outside the overall
pattern of the data
• Center- mean and median- they may not
be the same…
• Symmetry/ Shape
Describing Distributions:
•C.u.s.s. and b.s
• Center
• Unusual Features
• Symmetry
And
• Be Specific
Activity Part 2
• How tall are you in inches?
• Record your height on the board.
• Write down the class data and use it to
make a stemplot and a dotplot on the back
of p. 6.
Summary
What are key features of a bar graph?
Of a pie chart?

What does CUSS & BS mean?
do you understand how to do this?

WHEN do you make a bar graph or pie
chart?
Prep Questions
• What does frequency mean?

• Have you ever heard of a histogram?

• What do you think a time plot shows?

• What does cumulative mean?

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