Question 1

Which of the following best describes the primary goal of statistics as defined in your course materials?

Accepted Answer

To measure, control, and communicate uncertainty in order to make better decisions.

Question 2

In the context of the roller coaster data set, which of the following variables is quantitative?

Accepted Answer

Speed (miles per hour)

Question 3

Which of the following is NOT one of the Five W’s and H used to describe a data set?

Accepted Answer

Which

Question 4

A researcher collects ZIP codes from survey participants. How should ZIP code be classified?

Accepted Answer

Categorical, because it serves as an identifier.

Question 5

Which of the following variables from the dog attributes list is best classified as categorical?

Accepted Answer

Breed

Question 6

A Likert scale (e.g., rating agreement from 1 to 5) is best described as which type of variable?

Accepted Answer

Categorical, ordinal

Question 7

In the study comparing heavy and light weight lifting, what was the main finding regarding muscle hypertrophy?

Accepted Answer

Both light and heavy weights can be equally effective if workouts are planned correctly.

Question 8

Which of the following is an example of a quantitative variable that is discrete?

Accepted Answer

Number of inversions on a roller coaster

Question 9

Given the following summary statistics for the variable Year_Opened: $$N = 165$$, $$	ext{Mean} = 1997.9$$, $$	ext{StDev} = 10.9$$, $$	ext{Minimum} = 1971$$, $$	ext{Maximum} = 2022$$, what type of variable is Year_Opened?

Accepted Answer

Quantitative, because arithmetic operations make sense.

Question 10

A bar chart is most appropriate for displaying which type of variable?

Accepted Answer

Categorical

Question 11

Which of the following best describes the difference between a case and a variable in a data set?

Accepted Answer

A case is an individual or unit, and a variable is a characteristic measured.

Question 12

Suppose you recode the variable Year_Opened into categories such as '1970s', '1980s', etc. What type of variable is the recoded version?

Accepted Answer

Categorical, ordinal

Question 13

Which of the following is a key reason why random assignment is important in experimental studies?

Accepted Answer

It helps to balance baseline characteristics between groups.

Question 14

A scatterplot of Duration (seconds) vs. Length (feet) for roller coasters shows a positive association. What does this mean?

Accepted Answer

Longer roller coasters tend to have longer durations.

Question 15

Which of the following is an example of a variable that could be either categorical or quantitative depending on how it is measured?

Accepted Answer

Year roller coaster opened

Question 16

Which of the following best describes the role of units in quantitative variables?

Accepted Answer

Units help define the scale and meaning of the measurement.

Question 17

In the Shipman case study, the variable 'Place of Death' is best classified as:

Accepted Answer

Categorical, nominal

Question 18

Which of the following is a plausible reason why the mean and median for Year_Opened might differ in the roller coaster data set?

Accepted Answer

The distribution of Year_Opened is skewed.

Question 19

Which of the following best describes the concept of variability in statistics?

Accepted Answer

Variability is the tendency for data values to differ from each other.

Question 20

A variable that records whether a dog is wearing a collar (yes/no) is best classified as:

Accepted Answer

Categorical, nominal

Introduction to Statistics: Data, Variables, and the Five W’s

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