Ap Stats Presentation

1. Analyzing Categorical
Data
Hosted by: Shane Durkan
Hosted by: Name

2. @thinkfiveable

3. ● Intro
● Learn the vocabulary of
data
● Construct and interpret
categorical displays
● Construct and interpret
two-way tables
in
this
stream
coming
soon

4. Statistics Overview
Population
Sample
Collect data from
a representative
sample…..
Perform Data
Analysis keeping
probability in
mind….
Make an
inference about
the population.

5. Categorical Variable: Usually an
adjective and rarely a number
Quantitative Variable: Always a
number and must be able to
find the mean of the numbers.
Variable: any characteristic of
an individual or object

6. Categorical vs. Quantitative
Race
Zip Code
GPA
# of AP Classes
taken
Categorical
Latinx, Caucasian
Can’t average
Quantitative
2.0, 3.14, 1.80, 4.4
We could average
Quantitative
0 , 1 , 5
We could average
Categorical
92649, 94610, 94118
Numbers, but doesn’t make sense
to average

7. ● Distribution
○ Describes what values a variable takes
and how often it takes those values.
○ “Distribution” replaces the words “data”
or “graph”

8. The distribution of a categorical variable lists
the counts or percent of individuals.
Favorite
Course
Count Percent
English ● 8 ● 16%
Foreign
Language
● 4 ● 8%
History ● 11 ● 22%
Math ● 15 ● 30%
Science ● 12 ● 24%

9. ● Displaying Categorical Data
○ Bar Graph
○ Pie Chart

10. Our eyes react to the area
of the bar as well as height
SO make the bars equally
wide.
Good and Bad

11. Avoid replacing bars with
pictures.
Good and Bad

12. Two-Way Tables
Two-Way Tables: Describe two
categorical variables, organizing
counts according to a row variable and
a column variable.
We begin by examining the counts or
percents in various categories for one
of the variables.

13. in
this
stream
Two-Way
Tables
Member of
No Clubs
Member
of One
Club
Member of 2
or More
Clubs
Total
Rides the School
Bus
55 33 20 108
Does not Ride Bus 16 44 82 142
Total 71 77 102 250
•What proportion of students that ride the school bus
are members of two or more clubs?

14. in
this
stream
Two-Way
Tables
Member of
No Clubs
Member
of One
Club
Member of 2
or More
Clubs
Total
Rides the School
Bus
55 33 20 108
Does not Ride Bus 16 44 82 142
Total 71 77 102 250
•What proportion of students that are members of no
clubs do not ride the school bus?

15. in
this
stream
Two-Way
Tables
Member of
No Clubs
Member
of One
Club
Member of 2
or More
Clubs
Total
Rides the School
Bus
55 33 20 108
Does not Ride Bus 16 44 82 142
Total 71 77 102 250
•What proportion of students that do not ride the school
bus are members of at least one club?

16. Two_Way
Tables

17. Comparing Categorical Distributions
Sophomore Junior Senior Total
One 0 0 4 4
Tow 1 3 12 16
Three 4 7 6 17
Four 7 4 8 19
Five 2 0 3 5

18. Comparing Categorical Distributions

19. Comparing Categorical Distributions

20. @thinkfiveable