Question

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1. consider the question: what is the height of every student in the class? explain why this question is a statistical question.
2. consider the question: what is the height of mr. t on his 16th birthday? explain why this question is a non - statistical question.
3. label each question as categorical or numerical? a. what is the favorite color of students in your class? b. how many pets does each family on your street own? c. what brand of shoes are students in your class wearing? d. how many books did you read last month? e. what is your gender? f. how much money did you spend on groceries this week?

Explanation:

Step1: Define statistical question

A statistical question has variability in the data that can be collected. For "What is the height of every student in the class?", there are multiple students with different heights. So, data will vary.

Step2: Define non - statistical question

A non - statistical question has a single answer. For "What is the height of Mr. T on his 16th birthday?", there is only one height value for that specific person and time.

Step3: Categorize questions in 6

a. Categorical: Favorite color is a category (e.g., red, blue).
b. Numerical: The number of pets is a numerical value.
c. Categorical: Shoe brand is a category (e.g., Nike, Adidas).
d. Numerical: The number of books is a numerical value.
e. Categorical: Gender is a category (e.g., male, female).
f. Numerical: The amount of money is a numerical value.

Answer:

1. It is a statistical question because there are multiple students in the class and their heights will vary, so there will be a distribution of data.
2. It is a non - statistical question because there is only one height value for Mr. T on his 16th birthday.

6.
a. Categorical
b. Numerical
c. Categorical
d. Numerical
e. Categorical
f. Numerical