Going Fishing
Lake Fishing in Idaho
Who has ever been lake fishing in Idaho? What is it
like? What do you fish for?
Lake Fishing in Idaho
CJ Strike
Anderson Ranch
Essential Question
Which fishing hole gives bass fisherman
the best chance of catching their limit of fish?
Bins of Beans
How can we answer this question with this “lake,”
these “fish,” and your “fishing holes”?
Gather some data about your fishing holes.
Guiding Questions
1. How likely is it that you limit out on bass (6) for
the day from either lake’s fishing holes?
2. Is one of your fishing holes better than the other?
How do you know?
3. Given that you limit out on bass for the day, how
likely is that you are fishing in CJ Strike? Anderson
Ranch?
Guiding Questions
4. How does your best fishing hole compare to your
classmates’?
How would we answer this question?
Visualizing Bivariate Categorical Data
One way to visualize bivariate categorical data is in a
stacked bar graph.
NCTM Core Math Tools Demo
Answering the Essential Question
Which fishing hole gives bass fisherman
the best chance of catching their limit of fish?
NOTES:
Bivariate Categorical Data
Analysis
Bivariate Categorical Data Analysis
In the Going Fishing Task, you will:
▧ Create a relative frequency table from your sample data with:
Rows: Anderson Ranch and CJ Strike
Columns: Did not Limit (<6), Did Limit (≥ 6)
▧ Calculate the marginal and joint relative frequencies for your
table.
▧ Calculate the conditional relative frequencies for your table.
Example: 40 Simulations of Invasive Weeds
Two-Way Frequency Table
Joint & Marginal Relative Frequencies
Total
Spread of
weeds in
Freeland
Less than
10 cells in
5 years
10 or
more
cells in 5
years
Total
7
20
Cheatgrass
13/40
7/40
20/40
5
15
20
Medusahead
5/40
15/40
20/40
18
22
40
Total
18/40
22/40
40
Spread of
weeds in
Freeland
Less
than 10
cells in 5
years
10 or
more
cells in 5
years
Cheatgrass
13
Medusahead
Total
Example: 40 Simulations of Invasive Weeds
Conditional Relative Frequencies
Total
Spread of
weeds in
Freeland
Less
than 10
cells in 5
years
10 or
more
cells in 5
years
Total
7/22
20
Cheatgrass
13/20
7/20
20
5/18
15/22
20
Medusahead
5/20
15/20
20
18
22
40
Total
18
22
40
Spread of
weeds in
Freeland
Less
than 10
cells in 5
years
10 or
more
cells in 5
years
Cheatgrass
13/18
Medusahead
Total
Data Talk
Considering the weeds example, what
statements can you make regarding the
joint, marginal, and conditional relative
frequencies?