Exploring Two-Way Frequency Tables in Bivariate Data

This video tutorial covers the concept of two-way frequency tables, which organize bivariate data. It includes exercises that analyze survey data on sports and music preferences, math course enrollment, gender and college attendance, music preferences by school level, age and candidate support, and dream recall. The tutorial emphasizes the importance of understanding denominators in calculations and provides strategies for solving percentage problems using two-way tables.

What is the primary purpose of a two-way frequency table?

• To display data trends over time

• To compare two different sets of data

• To organize a single set of data

• To calculate averages

In Exercise 1, how many students watched sports and liked pop music?

• 28

• 34

• 26

• 40

What percentage of students who did not watch sports liked pop music?

• 70%

• 60%

• 40%

• 50%

In Exercise 2, which category accounts for approximately 19% of all survey respondents?

• Males taking Geometry

• Females taking Geometry

• Females taking Algebra 2

• Males taking Algebra 1

In Exercise 3, what is more likely: someone going to college is female or someone who is female is going to college?

• Someone going to college is female

• Someone who is female is going to college

• Both are equally likely

• Neither is likely

What fraction of students are high school students who like alternative music?

• 22/150

• 15/100

• 30/150

• 11/75

What percentage of college students prefer classic rock?

• 64%

• 50%

• 28%

• 14%

What percentage of students who like classic rock attend middle school?

• 30%

• 25%

• 20%

• 16.6%

What percentage of middle school students prefer hip-hop or classic rock?

• 64%

• 50%

• 32%

• 75%

In Exercise 6, if a person is chosen at random from those who recalled at least one dream, what is the fraction that they belonged to group Y?

• 11/68

• 11/39

• 79/164

• 68/125