VARIABLE DATA AND STATISTICAL QUESTIONS
About "Variable data and statistical questions"
Variable data and statistical questions :
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.
Variable data and statistical questions
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 ?
Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.
Answer :
Statistical
Units : dollars
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