Algebra 1- IM Unit 3 - Lesson 1-Two Way Table

Algebra 1- IM Unit 3 - Lesson 1-Two Way Table

LEARNING GOAL: Let’s look at categorical data.

Learning Targets

• I can calculate missing values in a two-way table.

• I can create a two-way table for categorical data given information in everyday language.

• I can describe what the values in a two-way table mean in everyday language.

Several students are surveyed about whether they prefer writing with a pen or a pencil and they are also asked whether they prefer lined paper or unlined paper. Some of the results are:

• The survey included 100 different students. 40 students said they prefer using pen more than pencil.

• 45 students said they prefer using unlined paper more than lined paper.

• 10 students said they prefer lined paper and pen.

• 45 student said they prefer pencil and lined paper.

Think about it

• Why is this table an effective method for solving this question?

• Was using a table the only way to solve the questions?

• What does the word ‘two’ in two-way table refer to?

• How is it seen in the example from the task?

Fill in the Blank

How many students prefer using pencil more than pen?

Fill in the Blank

How many students prefer using pen and unlined paper?

Fill in the Blank

How many students prefer using pencil and unlined paper?

Example Number 1

A scientist is trying to determine the role of specific genes by looking at traits of fruit flies. The offspring of two fruit flies are examined to determine the color of their eyes and whether they have curled wings or standard wings. Eighty offspring are randomly selected, and the results are recorded in the two-way table.

Multiple Select

Describe what the 17 in the table represents.

• Red eyes

• White Eyes

• Curled Wings

• Standard Wings

Multiple Choice

How many selected fly offspring had white eyes?

• 17

• 5

• 45

• 13

• 18

Fill in the Blank

How many selected fly offspring had standard wings?

Multiple Select

What does the 13 in the table represent?

• red eyes

• white eyes

• curled wings

• standard wings

Multiple Choice

How many selected fruit fly offspring have red eyes and standard wings?

• 17

• 5

• 45

• 13

• 80

Multiple Choice

How many selected fruit fly offspring are represented in the table?

• 58

• 22

• 62

• 18

• 80

Fill in the Blank

How many selected fruit fly offspring have curled wings?

Example Number 2

Forest rangers record information about some of the deer in the forest they oversee. Use the two-way table to answer the questions about the deer they observed. 

Fill in the Blank

How many of the observed deer younger than 1 year old have antlers?

Fill in the Blank

How many of the observed deer are 1 year old or older?

Fill in the Blank

How many different deer are included in the table?

EXIT TICKET

Lets see what you know?

Multiple Choice

How many chemical engineers chose Science as their favorite subject?

• 80
• 91
• 171
• 262

Multiple Choice

Out of those surveyed, what is the probability that the student is a boy who can't bike to school (in simplest form)?

• 4/30
• 7/30
• 2/15
• 14/30

Multiple Choice

What percentage of the students were boys?

• 20%
• 25%
• 40%
• 50%

Multiple Choice

According to the two-way table, a person who plays an instrument is most likely to:

• Not play an instrument
• Not play a team sport
• Play a team sport
• All of the above

Multiple Choice

What percentage of males drive sports cars?

• 35%
• 16.25%
• 65%
• 25%

LETS'

PRACTICE

https://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap/stats-two-way-tables/e/two-way-frequency-tables