Q: Which of the following is the correct formula for calculating the proportion of observations in a category?

$$\text{Proportion} = \frac{\text{Number of observations in the category}}{\text{Total number of observations}}$$

Question 1

Which of the following is an example of a continuous quantitative variable?

Accepted Answer

Height of a basketball player

Question 2

A researcher records the blood type (A, B, AB, O) of each participant in a study. What type of variable is blood type?

Accepted Answer

Categorical, nominal

Question 3

Which of the following best describes the difference between discrete and continuous quantitative variables?

Accepted Answer

Discrete variables can only take on whole numbers, while continuous variables can take on any value within an interval.

Question 4

A survey asks students to rate their satisfaction with campus dining on a scale from 1 (very dissatisfied) to 5 (very satisfied). What type of variable is this?

Accepted Answer

Categorical, ordinal

Question 5

Which of the following variables is best described as nominal?

Accepted Answer

Hair color

Question 6

Suppose you are analyzing the number of cars in a parking lot each day for a month. What type of variable is 'number of cars'?

Accepted Answer

Quantitative, discrete

Question 7

A frequency table is used to:

Accepted Answer

List possible values of a variable and the number of observations for each value

Question 8

Which of the following is the correct formula for calculating the proportion of observations in a category?

Accepted Answer

$$	ext{Proportion} = \frac{	ext{Number of observations in the category}}{	ext{Total number of observations}}$$

Question 9

Which of the following best describes the distribution of a variable?

Accepted Answer

How the observations are distributed across the range of possible values

Question 10

A study records the daily high temperature in degrees Fahrenheit for a city over a year. Which type of variable is 'daily high temperature'?

Accepted Answer

Quantitative, continuous

Question 11

Which of the following is an example of an ordinal categorical variable?

Accepted Answer

Class rank (Freshman, Sophomore, Junior, Senior)

Question 12

A hospital records the number of patients admitted each day. If you want to describe the center and variability of this data, which type of variable are you working with?

Accepted Answer

Quantitative, discrete

Question 13

Which of the following real-world scenarios best illustrates a categorical variable?

Accepted Answer

The type of cuisine (Italian, Chinese, Mexican, Indian) ordered at a restaurant

Question 14

A teacher records the final grades of students as A, B, C, D, or F. What type of variable is 'final grade'?

Accepted Answer

Categorical, ordinal

Question 15

Which of the following statements is TRUE regarding categorical and quantitative variables?

Accepted Answer

Quantitative variables can be either discrete or continuous

Question 16

A researcher is interested in the number of days in a year when the temperature exceeds 90°F. What type of variable is 'number of days with temperature \u003e 90°F'?

Accepted Answer

Quantitative, discrete

Question 17

Which of the following is NOT a feature used to describe quantitative variables?

Accepted Answer

Relative number of observations in categories

Question 18

A company tracks the shoe size of its employees. Which type of variable is 'shoe size'?

Accepted Answer

Quantitative, discrete

Question 19

If a variable's possible values form an interval and can take on any value within that interval, the variable is:

Accepted Answer

Quantitative, continuous

Question 20

A frequency table for pizza toppings at a restaurant shows: Pepperoni (30), Mushroom (20), Sausage (10), and Veggie (40). What is the proportion of customers who chose Mushroom?

Accepted Answer

$$\frac{20}{100}$$

Exploring Data with Graphs and Numerical Summaries

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