Q: Which formula would you use to calculate the relative frequency for a category?

$$ \text{relative frequency} = \frac{\text{frequency}}{\text{number of observations}} $$

Question 1

Which of the following is the most appropriate graphical display for a categorical variable?

Accepted Answer

Bar chart

Question 2

A researcher records the favorite color of 50 students. Which type of variable is 'favorite color'?

Accepted Answer

Categorical

Question 3

Which of the following data sets should be displayed using a histogram?

Accepted Answer

Height of selected individuals (in inches)

Question 4

Given the following frequency distribution for car ownership: American (760), Japanese (375), Korean (72), German (37), Other (24). What is the relative frequency for Japanese cars? Use the formula $$ 	ext{relative frequency} = \frac{	ext{frequency}}{	ext{total number of observations}} .$$

Accepted Answer

$$ \frac{375}{1268} = 0.2958 $$

Question 5

Which of the following best describes a frequency distribution for categorical data?

Accepted Answer

A table showing all possible categories and their associated frequencies

Question 6

A bar chart is used to display which of the following types of data?

Accepted Answer

Categorical data only

Question 7

In a study, the number of babies born each day of the week is recorded. What type of variable is 'day of the week'?

Accepted Answer

Categorical

Question 8

Which of the following statements is true about histograms?

Accepted Answer

They are used to display the distribution of quantitative data

Question 9

A frequency distribution table for a categorical variable must include which of the following?

Accepted Answer

All possible categories and their frequencies

Question 10

If a bar chart shows that 'Yellow' is the most popular favorite color among students, what can you conclude?

Accepted Answer

Yellow is the most frequently chosen color in the sample

Question 11

Which of the following is NOT a practical difficulty when making decisions based on categorical data?

Accepted Answer

The mean and standard deviation are always available

Question 12

A histogram is most appropriate for which of the following variables?

Accepted Answer

Age of parents at birth of first child

Question 13

Which formula would you use to calculate the relative frequency for a category?

Accepted Answer

$$ 	ext{relative frequency} = \frac{	ext{frequency}}{	ext{number of observations}} $$

Question 14

Which of the following best describes the difference between a bar chart and a histogram?

Accepted Answer

A bar chart displays categorical data, while a histogram displays quantitative data

Question 15

If the total number of observations in a data set is 1000 and the frequency for a category is 250, what is the relative frequency?

Accepted Answer

$$ \frac{250}{1000} = 0.25 $$

Question 16

Which of the following is a key insight you can gain from a bar chart of the number of babies born on each day of the week?

Accepted Answer

Births are not evenly distributed across the week

Introductory Statistics: Displaying and Describing Data (Chapter 2 Study Guide)

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