Question

at a water park, there are several different attractions. the following table displays data on the most popular rides.

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$$\begin{tabular}{|l|l|l|l|l|l|} \\hline ride & type & speed (mph) & minimum height (inches) & maximum weight (lbs) & rider type \\\\ \\hline big drop & thrill & 20 & 48 & 250 & single-rider \\\\ \\hline dark chute & family & 20 & 48 & 275 & 4-person tube \\\\ \\hline river rapids & family & 15 & 42 & 300 & single-rider \\\\ \\hline wild thunder & thrill & 18 & 48 & 250 & double tube \\\\ \\hline splash shoot & kids & 15 & 36 & 150 & single-rider \\\\ \\hline \\end{tabular}$$

what is the number and type of variables?

• 1 categorical, 5 numerical
• 2 categorical, 4 numerical
• 3 categorical, 3 numerical
• 4 categorical, 2 numerical

Explanation:

Identify the variables in the table

The columns representing variables for each ride (excluding the identifier "Ride") are:

1. Type
2. Speed (mph)
3. Minimum Height (inches)
4. Maximum Weight (lbs)
5. Rider Type

Classify each variable

• Type: Categorical (describes categories: Thrill, Family, Kids)
• Speed (mph): Numerical (quantitative measurement of speed)
• Minimum Height (inches): Numerical (quantitative measurement of height)
• Maximum Weight (lbs): Numerical (quantitative measurement of weight)
• Rider Type: Categorical (describes categories: Single-Rider, 4-Person Tube, Double Tube)

Count the types of variables

• Categorical variables: 2 (Type, Rider Type)
• Numerical variables: 3 (Speed, Minimum Height, Maximum Weight)

Note: If "Ride" (the name of the attraction) is considered an identifying categorical variable, the count would be 3 categorical and 3 numerical.

• Categorical: Ride, Type, Rider Type (3 variables)
• Numerical: Speed, Minimum Height, Maximum Weight (3 variables)

Answer:

• 1 categorical, 5 numerical
• 2 categorical, 4 numerical
• 3 categorical, 3 numerical (Correct answer)
• 4 categorical, 2 numerical