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IM 6.8.2 Lesson: Statistical Questions

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

Measure your pencil to the nearest -inch. Then, plot your measurement on the class dot plot.

What is the difference between the longest and shortest pencil lengths in the class?

What is the most common pencil length?

Find the difference in lengths between the most common length and the shortest pencil.

Ten sixth-grade students at a school were each asked five survey questions. Their answers to each question are shown here.

Here are the five survey questions. Match each question to a data set that could represent the students’ answers. Explain your reasoning. Question 1: Flip a coin 10 times. How many heads did you get?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Explain your reasoning.

Question 2: How many books did you read in the last year?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Explain your reasoning.

Question 3: What grade are you in?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Explain your reasoning.

Question 4: How many dogs and cats do you have?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Explain your reasoning.

Question 5: How many inches are in 1 foot?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Explain your reasoning.

How are survey questions 3 and 5 different from the other questions?

These three questions are examples of statistical questions:

  • What is the most common color of the cars in the school parking lot?
  • What percentage of students in the school have a cell phone?
  • Which kind of literature—fiction or nonfiction—is more popular among students in the school?
These three questions are not examples of statistical questions:
  • What color is the principal’s car?
  • Does Elena have a cell phone?
  • What kind of literature—fiction or nonfiction—does Diego prefer?
Study the examples and non-examples. Discuss with your partner: How are the three statistical questions alike? What do they have in common?

How are the three non-statistical questions alike? What do they have in common?

How can you find answers to the statistical questions? How about answers to non-statistical questions?

What makes a question a statistical question?

Read each question. Think about the data you might collect to answer it and whether you expect to see variability in the data.

How many cups of water do my classmates drink each day? Is variability expected in the data?

Select all that apply
  • A
  • B
Check my answer (3)

Is the question statistical?

Select all that apply
  • A
  • B
Check my answer (3)

Where in town does our math teacher live? Is variability expected in the data?

Select all that apply
  • A
  • B
Check my answer (3)

Is the question statistical?

Select all that apply
  • A
  • B
Check my answer (3)

How many minutes does it take students in my class to get ready for school in the morning? Is variability expected in the data?

Select all that apply
  • A
  • B
Check my answer (3)

Is the question statistical?

Select all that apply
  • A
  • B
Check my answer (3)

How many minutes of recess do sixth-grade students have each day?   Is variability expected in the data?

Select all that apply
  • A
  • B
Check my answer (3)

Is the question statistical?

Select all that apply
  • A
  • B
Check my answer (3)

Do all students in my class know what month it is?   Is variability expected in the data?

Select all that apply
  • A
  • B
Check my answer (3)

Is the question statistical?

Select all that apply
  • A
  • B
Check my answer (3)

Below are a set of cards with questions. With your partner, sort them into three piles: Statistical Questions, Not Statistical Questions, and Unsure.

Compare your sorting decisions with another group of students. Start by discussing the two piles that your group sorted into the Statistical Questions and Not Statistical Questions piles. Then, review the cards in the Unsure pile. Discuss the questions until both groups reach an agreement and have no cards left in the Unsure pile. If you get stuck, think about whether the question could be answered by collecting data and if there would be variability in that data.

Record the letter names of the questions in each pile.

Tyler and Han are discussing the question, “Which sixth-grade student lives the farthest from school?”

  • Tyler says, “I don’t think the question is a statistical question. There is only one person who lives the farthest from school, so there would not be variability in the data we collect.”
  • Han says: “I think it is a statistical question. To answer the question, we wouldn’t actually be asking everyone, 'Which student lives the farthest from school?' We would have to ask each student how far away from school they live, and we can expect their responses to have variability.”
Do you agree with either one of them? Explain your reasoning.

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