Question 1

Which of the following best describes a pie chart?

Accepted Answer

A disk where slices represent categories, and the area of each slice is proportional to the relative frequency of the category.

Question 2

Given the following pie chart data for children’s dream jobs: Spy (16%), Veterinarian (13%), Professional athlete (12%), Movie star (10%), Video game designer (8%), Doctor (6%), Other (35%), what is the proportion of children who did NOT want to be a spy?

Accepted Answer

$$0.84$$

Question 3

If you want to find the proportion of children who wanted to be either a professional athlete OR a movie star, which calculation would you use?

Accepted Answer

$$0.12 + 0.10 = 0.22$$

Question 4

A student claims that 6% of all American children want to be a doctor based on a survey of 273 children. What is the best response to this claim?

Accepted Answer

The claim is not justified because the survey may have sampling and nonsampling errors, and the sample may not represent all American children.

Question 5

In a two-way table summarizing whether students read a novel in the past year, 19 out of 25 women read a novel. What is the proportion of women who read a novel?

Accepted Answer

$$\frac{19}{25} = 0.76$$

Question 6

From a two-way table, 11 out of 17 men read a novel in the past year. What is the proportion of men who read a novel?

Accepted Answer

$$\frac{11}{17} \approx 0.647$$

Question 7

If 12 out of 42 students did not read a novel in the past year, what is the proportion of students who did not read a novel?

Accepted Answer

$$\frac{12}{42} \approx 0.286$$

Question 8

Which of the following is a correct method to find the proportion of observations that do NOT fall in a specific category in a pie chart?

Accepted Answer

Subtract the proportion of the specific category from 1: $$1 - p_{category}$$

Question 9

A pie chart shows the following percentages for children’s dream jobs: Spy (16%), Veterinarian (13%), Professional athlete (12%), Movie star (10%), Video game designer (8%), Doctor (6%), Other (35%). What is the total percentage represented by all categories?

Accepted Answer

$$100\%$$

Question 10

Why are relative frequencies in a pie chart usually written as percentages?

Accepted Answer

Percentages make it easier to compare the sizes of the slices and understand the distribution.

Question 11

Suppose you have a two-way table showing gender and whether students read a novel. How would you find the proportion of all students who read a novel?

Accepted Answer

Divide the total number of students who read a novel by the total number of students: $$\frac{30}{42}$$

Question 12

Which of the following is a potential source of error when generalizing survey results from a sample to a population?

Accepted Answer

Sampling error and nonsampling error

Question 13

If you want to compare the proportion of men and women who read a novel, which rows of the two-way table should you use?

Accepted Answer

The row for men and the row for women

Question 14

A pie chart is most appropriate for which type of variable?

Accepted Answer

Categorical variable

Question 15

If the sum of the relative frequencies in a pie chart is not equal to 1, what does this indicate?

Accepted Answer

There is an error in the calculation or data entry.

Question 16

Which of the following is NOT a valid use of a two-way table?

Accepted Answer

Displaying the distribution of a single quantitative variable

Question 17

If you want to find the proportion of students who did not read a novel and are male, which calculation would you use from the two-way table?

Accepted Answer

$$\frac{6}{42}$$

Question 18

Which of the following statements about pie charts is TRUE?

Accepted Answer

The area of each slice is proportional to the relative frequency of the category.

Question 19

A survey of 273 children found that 35% chose 'Other' as their dream job. How many children does this represent?

Accepted Answer

$$273 	imes 0.35 = 95.55 \approx 96$$ children

Constructing Graphical and Tabular Displays of Data: Pie Charts and Two-Way Tables

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