9.1.5 Venn Diagram & How Data Lies

Labelling

You and your friend conducted another survey of the same 250 people in your neighborhood. You both wanted to know which breakfast option(s) they prefer.

Use the table of survey results to complete the Venn Diagram below by adding the missing data.

Drag labels to their correct position on the image

27

135

88

Multiple Choice

Animals can be sorted into groups based on where they live. Which of the Venn Diagrams represents the data included in the lists below?

Multiple Choice

The local recreation center wanted to use a Venn Diagram to present the breakdown of the sports their members play.

40% played basketball; 55% played soccer; and the remaining played both.

The Venn diagram of this data is shown below. How many members played both basketball and soccer?

• 5%

• 55%

• 95%

• 40%

Multiple Select

Which of the following statements are correct about the Venn Diagram?

Select all that apply.

• There are only 6 numbers from 1 to 30 that are multiples of 5.

• All numbers from 1 to 30 are multiples of 2, 3, or 5.

• More than half of the data are multiples of three

• There are more numbers from 1 to 30 that are multiples of 2 than multiples of 3 or 5.

Draw

Use the data given below to complete the Venn Diagram.

•40 people joined the soccer club.

•48 people joined the basketball club.

•41 joined the tennis club.

12 people joined all three clubs.

Multiple Choice

57 people were surveyed about their favorite vacation spot.

The data from the survey revealed that:

•23 people prefer the beach;

•27 people prefer the mountains; and

•7 people like both equally.

•

Which of the following Venn Diagrams correctly presents the results?

Open Ended

The following Venn Diagram shows the results of a survey of 115 people. They were asked if they used pens or pencils when doing math work.

How many people used both pens and pencils? How do you know?

Multiple Choice

Olivia surveyed 30 people about their pets. She started creating a Venn Diagram to show the survey results.

Which number needs to be added to complete the Venn Diagram for her survey result?

• 4

• 2

• 1

• 7

Hotspot

Which graphs below are skewed?

Match

Match each graph with its correct description.

Right-Skewed

Left-Skewed

Normal Distribution

• Right-Skewed

• Left-Skewed

• Normal Distribution

Multiple Choice

A survey is conducted where 100 people at a local basketball court were asked: “What age do you think people should be allowed to vote?”

What kind of bias do you notice in this scenario?

• Undercoverage

• Response bias

• Voluntary bias

• Non-response

Open Ended

Each histogram shows how many dogs are different weights at the local animal shelter. Explain which histogram is misleading.

Hotspot

The two graphs below display the same data. Which graph is misleading?

Multiple Select

A random sample heights of high schoolers is on the left. A sample of heights of high schoolers at a high school gymnastics meet is on the right. Those who participated in the survey at the meet got a coupon for gymnastics equipment.

Which if the options below may have caused the sample to be biased?

Select all that apply.

• Voluntary

• Response bias

• Undercoverage

• Non-response

Now What...