Question 1

Which of the following best describes a variable in statistics?

Accepted Answer

A symbol that represents a quantity that can change.

Question 2

Let $$t be $$the number of years since 2015. What year does $$t = 8$$ represent?

Accepted Answer

2023

Question 3

Which of the following is a constant in the context of a rectangle with area $$A = 12$$ square inches, width $$W$$, and length $$L$$?

Accepted Answer

$$A$$

Question 4

Which of the following numbers is irrational?

Accepted Answer

$$\sqrt{2}$$

Question 5

Which interval notation correctly represents the solution set for $$x \u003e -2$$?

Accepted Answer

$$(-2, \infty)$$

Question 6

A checked bag for a United Airlines economy ticket must weigh at most 50 pounds. Which inequality correctly describes the possible weights $$w of a $$non-overweight bag?

Accepted Answer

$$0 \u003c w \leq 50$$

Question 7

Which of the following statements about real numbers is TRUE?

Accepted Answer

All rational numbers are real numbers.

Question 8

If $$b is $$the balance of a checking account and $$b = -50$$, what does this value represent?

Accepted Answer

The account is overdrawn by $50.

Question 9

Which of the following is the correct compound inequality for a man whose weight $$w is $$between 173 and 177 pounds?

Accepted Answer

$$173 \u003c w \u003c 177$$

Question 10

Which of the following is NOT a rational number?

Accepted Answer

$$\pi$$

Question 11

A Category 5 hurricane has wind speeds no less than 157 mph. Which interval notation represents the possible wind speeds $$s$$?

Accepted Answer

$$[157, \infty)$$

Question 12

Which of the following best describes the difference between a variable and a constant?

Accepted Answer

A variable represents a quantity that can change, while a constant represents a fixed value.

Question 13

Which of the following is the correct way to graph the solution to $$x \u003c 3 on a $$number line?

Accepted Answer

Shade to the left of 3 and use an open circle at 3.

Question 14

Which of the following is an example of a data set consisting of categorical data?

Accepted Answer

The genres of the top 5 singles: pop, rock, pop, hip hop, country.

Question 15

Which of the following is the correct interval notation for the solution set of $$1 \leq x \leq 3$$?

Accepted Answer

$$[1, 3]$$

Question 16

If $$n is $$the number of people (in millions) who work from home at least half the time, and $$n = 3.7 in 2017$$, what does this mean?

Accepted Answer

3.7 million people worked from home at least half the time in 2017.

Question 17

Which of the following is TRUE about the increases in the total amounts of Goldman Sachs loans from 2012 to 2016?

Accepted Answer

The increases decreased each year.

Question 18

Which of the following is the correct way to write the set of all $$x$$ such that $$x is $$greater than or equal to 8?

Accepted Answer

$$x \geq 8$$

Question 19

Which of the following is NOT a benefit of using variables in statistics?

Accepted Answer

Variables make it impossible to describe specific years.

Question 20

Which of the following is the correct way to plot the point $$(3, 4) in a $$coordinate system?

Accepted Answer

Move 3 units right and 4 units up from the origin.

Chapter 1: Variables, Constants, Plotting Points, and Inequalities – Foundations for Introductory Statistics

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