Back to Exercise: Understand that patterns of association can also be seen in bivariate categorical data

Exercises: Two-Way Tables and Association in Categorical Data

Work through each section in order. For relative frequencies, divide a cell by the right total: the grand total for grand-total relative frequencies, the row total for row relative frequencies, and the column total for column relative frequencies. To look for association, compare row relative frequencies across rows - similar percentages suggest no association, and clearly different percentages suggest an association.

Grade 8·23 problems·~35 min·Common Core Math - Grade 8·container·8-sp-a-4

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Recall / Warm-Up

A survey asks each student "What is your favorite type of pet?" with answers like dog, cat, or fish. What type of data is this?

Categorical data (the answers are labels, not numbers)

Measurement data (the answers are numbers you can do arithmetic on)

It is not data at all

Out of $20$ students, $13$ said yes. What percent of the students said yes?

In the two-way table below, how many students walk to school AND pack a lunch?

	Packs Lunch	Buys Lunch	Total
Walks	8	5	13
Rides	6	11	17
Total	14	16	30

Fluency Practice

A school wants to know if there is a link between living in an apartment or a house and owning a dog or not. Which tool should they use to organize this data?

A scatter plot, since it can plot any two variables against each other

A two-way frequency table

A single number line, since it can show every category along one axis

Use the two-way table below. What is the grand-total relative frequency for apartment dwellers who have a dog? (Divide that cell by the grand total of $50$ .)

	Has Dog	No Dog	Total
Apartment	6	14	20
House	24	6	30
Total	30	20	50

Use the same table. What is the ROW relative frequency for apartment dwellers who have a dog? (Divide that cell by its row total of $20$ .)

	Has Dog	No Dog	Total
Apartment	6	14	20
House	24	6	30
Total	30	20	50

Use the same table. What is the ROW relative frequency for house dwellers who have a dog? (Divide that cell by its row total of $30$ .)

	Has Dog	No Dog	Total
Apartment	6	14	20
House	24	6	30
Total	30	20	50

Use the same table. What is the COLUMN relative frequency for apartment dwellers among dog owners? (Divide the apartment-and-dog cell by its column total of $30$ .)

	Has Dog	No Dog	Total
Apartment	6	14	20
House	24	6	30
Total	30	20	50

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