The question “How much does a typical cat weigh?” is an example of a statistical question. A statistical question is a question that has many different, or variable, answers.

**Part A : **

**Instruction : **

Decide whether each of the situations below could yield variable data.

**Question 1 :**

Your sister wants to know the typical weight for an adult cat.

**Answer : **Variable

**Question**** 2 :**

You want to know how tall your friend is.

**Answer : **Not variable

**Question 3 :**

You want to know how far your house is from school.

**Answer : **Not variable

**Question 4 :**

A car owner wants to know how much money people usually pay for a new tire.

**Answer : **Variable

**Question 5 :**

How many students were in line for lunch at the cafeteria today at 12:30 ?

**Answer :** Not variable

**Part B :**

**Question 6 :**

For which of the situations in part A can you write a statistical question ? Write questions for these situations.

**Answer : **

1 and 4;

1. How much does a typical adult cat weigh ?

4. How much does a tire usually cost ?

**Question 7 :**

Choose one of the questions you wrote in part B . How might you find answers to this question ? What units would you use for the answers ?

**Answer : **

Sample answers :

1. Weigh a sample of adult cats and find the mean or median weight in pounds.

4. Ask people who recently bought a tire how much they paid in dollars, and find the mean or median.

**Part C :**

**Question 8 :**

The town council members want to know how much recyclable trash a typical household in town generates each week.

Tell whether the situation could yield variable data. If possible, write a statistical question.

**Answer : **

Variable data

Sample answer :

How many pounds of recyclable trash does each household generate ?

**Question 9 :**

Describe how a statistical question yields an answer with variability. Give an example.

**Answer : **

A statistical question has many different, or variable answers. Sample example: How old are my friends’ pets ?

**Question 10 :**

An antique collector wants to know the age of a particular chair in a shop.

Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.

**Answer : **

Not statistical

**Question 11 :**

How tall do the people in your immediate and extended family tend to be?

Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.

**Answer : **

Statistical

Units : feet and inches or centimeters

**Question 12 :**

How tall is Sam ?

Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.

**Answer : **

Not statistical

**Question 13 :**

How much did your classmates typically spend on music downloads last year ?

**Answer : **

Statistical

Units : dollars

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