Practice with Categorical & Two-Way Tables

You're filling out questions on a college application. Which of the following characteristics are categorical? Select all that apply

• Gender

• Age

• Intended major

• Whether or not you'll commute to school

• GPA

Which of the following best describes the variables displayed in the table?

• Beverages & Food

• Soda or Water

• Hot Dog or Pizza

• No Food or No Beverages

Tags

CCSS.8.SP.A.4

What percent of people purchased no food and no drink?

• 25%

• 2.5%

• 16.7%

• 30%

Tags

CCSS.8.SP.A.4

What percent of people who attended the basketball game also attended the school play?

• 38%

• 47%

• 25%

• 54%

Tags

CCSS.8.SP.A.4

What percent of the total people attended neither?

• 15%

• 19%

• .15%

• 6.7%

Tags

CCSS.6.RP.A.3C

Describe the variables displayed & if it's categorical or quantitative

Answer explanation

Dessert preference & class level. Categorical.

Which of the following describes the relationship between the two variables?

• There is an association between dessert preference and class level. While the majority of both class levels prefer ice cream, seniors have a higher percentage of people who prefer cake than juniors.

• Dessert preference and class level are independent. Both juniors and seniors prefer ice cream the most.

Tags

CCSS.8.SP.A.4

Describe the variables displayed & if it's categorical or quantitative

Answer explanation

Gender & feelings about school. Categorical.

Which of the following describes the relationship between the two variables?

• There is an association between gender and feelings about school. Females have a higher percent of responses that are excited for school than males.

• Gender and feelings about school are independent. While there is a slight difference in the percent of females & males who reported they are excited for school and meh, the percents are close and not enough of a difference to suspect an association.

Tags

CCSS.8.SP.A.4

The following bar chart displays the relative frequency of responses of students, by grade level, when asked, “Do you volunteer in a community-service activity?”

Which of the following statements is not supported by the bar chart?

• More than 60% of both tenth-grade and eleventh-grade students responded yes.

• Twelfth-grade students had the least percentage of students respond yes.

• Less than 40% of tenth-grade students responded no.

• The number of tenth-grade students who responded yes was greater than the number of ninth-grade students who responded yes.

• The percentage of eleventh-grade students who responded no was less than the percentage of ninth-grade students who responded no.

Tags

CCSS.8.SP.A.4