Question 1

Which of the following best describes a categorical variable?

Accepted Answer

A variable that represents characteristics or qualities, such as color or gender.

Question 2

A researcher collects the following data: 18, 22, 20, 19, 21. What additional information is needed to define these numbers as data?

Accepted Answer

The units of measurement and the context in which the numbers were collected.

Question 3

Suppose you want to know whether the number of hours spent studying is associated with GPA among college students. Which type of variable is GPA?

Accepted Answer

Numerical variable

Question 4

A survey asks: 'Do you own a car?' and records responses as '1' for yes and '0' for no. This is an example of:

Accepted Answer

Coded categorical data

Question 5

Given the formula for sample variance $$s^2$$ = \frac{1}{n-1} \sum_{i=1}^{n} (x_i - \bar{x}$$)^2$$, what does $$n$$ represent?

Accepted Answer

The number of data points in the sample

Question 6

A table lists the following data for students: Age, Gender, School Year. Which variable(s) are categorical?

Accepted Answer

Gender and School Year

Question 7

A study of 900 adults finds that 15% of the 650 women in the study said they preferred to drive an SUV to driving a compact car. What percentage of study participants who are women in this study said that they prefer an SUV to driving a compact car?

Accepted Answer

$$15\%$$

Question 8

Which of the following is an example of a numerical variable?

Accepted Answer

Number of siblings

Question 9

In a study, the average number of hours spent completing statistics homework for a randomly selected group of students is measured. What type of variable is this?

Accepted Answer

Numerical variable

Question 10

A data table is organized so that each row represents one person and columns represent different variables. This format is called:

Accepted Answer

Unstacked data

Question 11

Suppose you want to know whether the student's commute distance is associated with the student's living situation. Using the data table below, which variables would you use?

Distance, Living Situation, Gender, Ring Size

Accepted Answer

Distance and Living Situation

Question 12

A principal asked if students were satisfied with the amount of after-school activities offered. What is the population of interest?

Accepted Answer

All students at the school

Question 13

Which formula is used to calculate the sample mean $$\bar{x}$$?

Accepted Answer

$$\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i$$

Question 14

A survey asks students: 'Did you play sports in high school?' The response is recorded as '1' for yes and '0' for no. This is an example of:

Accepted Answer

Coded categorical data

Question 15

Which of the following best describes the difference between stacked and unstacked data?

Accepted Answer

Stacked data has all observations in one column, unstacked data has separate columns for each group.

Question 16

A bicycle manufacturer produces four different models. The following information is summarized: Model, Series Number, Weight (lbs), Road Number, Type. Which variable is categorical?

Accepted Answer

Type

Question 17

In a study of 900 adults, 45% of the 325 men in the study said that they preferred to rent a movie on DVD rather than going to a movie theater. What percentage of men in this study said they prefer to rent a movie on DVD?

Accepted Answer

$$45\%$$

Question 18

Which of the following is NOT a reason to code categorical variables as numbers in a data table?

Accepted Answer

To make the data appear more numerical

Question 19

Suppose you want to know whether the student's hair color was associated with the shoe size. Using the data table, which variables would you use?

Accepted Answer

Hair Color and Shoe Size

Statistics Midterm 1 Study Guide: Data, Variables, and Data Organization

Study Guide - Practice Questions

Study Guide - Flashcards