/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 11 Classify each of the following v... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 11

Classify each of the following variables as either categorical or numerical. a. Number of text messages sent by a college student in a typical day b. Amount of time a high school senior spends playing computer or video games in a typical day c. Number of people living in a house d. A student's type of residence (dorm, apartment, house) e. Dominant color on the cover of a book f. Number of pages in a book g. Rating \((\mathrm{G}, \mathrm{PG}, \mathrm{R}, \mathrm{X})\) of a movie

Short Answer

Expert verified
a. Numerical\nb. Numerical\nc. Numerical\nd. Categorical\ne. Categorical\nf. Numerical\ng. Categorical

Step by step solution

01

Classify Number of text messages sent by a college student in a typical day

This variable represents a count of something, namely text messages. It can be given a numerical value for each individual depending on how many messages they send. Therefore, it is a numerical variable.
02

Classify Amount of time a high school senior spends playing computer or video games in a typical day

The time spent playing video games can be represented in numerical form (such as minutes or hours), making it a numerical variable.
03

Classify Number of people living in a house

Similar to step 1, this variable represents a count of people. It can be given a numeric value and is therefore a numerical variable.
04

Classify A student's type of residence (dorm, apartment, house)

The variable represents different categories of residences and can take on one of three categorical values (dorm, apartment, house). Therefore, it is a categorical variable.
05

Classify Dominant color on the cover of a book

This variable represents different categories of colors. It does not have a numeric value. So, it is a categorical variable.
06

Classify Number of pages in a book

This variable represents a count of pages in a book. It can be referred by a numerical value and therefore, it is a numerical variable.
07

Classify Rating \((\mathrm{G}, \mathrm{PG}, \mathrm{R}, \mathrm{X})\) of a movie

This variable represents different categories of movie ratings. It can take on one of few categorical values (\( \mathrm{G}, \mathrm{PG}, \mathrm{R}, \mathrm{X} \)). Therefore, it is a categorical variable.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Numerical Variables
When we talk about numerical variables, we refer to variables that hold data represented through numbers. These numbers can display different kinds of measurements or counts. For instance, consider the number of text messages sent by a student per day. This is a numerical variable because it counts how many messages are sent.

Other examples include the amount of time spent playing video games and the number of pages in a book. When dealing with numerical variables, you'll often use calculations such as mean or median to analyze them.

Some numerical variables can be further broken down into discrete and continuous variables:
  • **Discrete Variables**: Countable items like the number of people in a room.
  • **Continuous Variables**: Measurements like time or distance, which can take on a range of values within a given range.
Understanding whether a numerical variable is discrete or continuous can help in choosing the right statistical methods for analysis.
Categorical Variables
Categorical variables are all about names or labels rather than numbers. These types of variables designate different categories or groups. Think of the rating of a movie like G, PG, R, or X. This kind of variable fits into defined categories without a numerical value attached.

Another example of a categorical variable is the type of residence, such as a dorm, apartment, or house. Each options represent a distinct category without inherent ordering.

Here are some ways to describe categorical variables:
  • **Nominal Variables**: Categories without any specific order, like colors on a book's cover.
  • **Ordinal Variables**: Categorical data that has a clear order, despite not being numerically measurable.
Because of their non-numerical nature, categorical data is often represented using bar charts or pie charts for easy visualization.
Variable Types
Knowing the difference between numerical and categorical variables is crucial when analyzing data. By correctly identifying the type of variable, you can determine the best way to organize, interpret, and analyze your data.

Here's a quick look at comparing these types:
  • **Numerical Variables**: Deal with numbers, which can be either countable (discrete) or measurable (continuous).
  • **Categorical Variables**: Center on non-numerical categories or labels, which can be unordered (nominal) or ordered (ordinal).
It's essential to know what type of data you're working with because it influences the statistical tools you'll use. For example, averages can't help with nominal categories, but they are very meaningful for intervals and ratios in numerical variables.

Overall, understanding variable types lays the groundwork for any data analysis or statistical study.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous. a. Brand of computer purchased by a customer b. State of birth for someone born in the United States c. Price of a textbook d. Concentration of a contaminant (micrograms per cubic centimeter) in a water sample e. Zip code (Think carefully about this one.) f. Actual weight of coffee in a 1 -pound can

The article "Ozzie and Harriet Don't Live Here Anymore" (San Luis Obispo Tribune, February 26,2002 ) looked at the changing makeup of America's suburbs. The article states that in the suburbs of the nation's largest cities, nonfamily households (for example, homes headed by a single professional or an elderly widow) now outnumber married couples with children. The article goes on to state: In the nation's 102 largest metropolitan areas, "nonfamilies" comprised 29 percent of households in 2000 , up from 27 percent in 1990 . While the number of married-with-children homes grew too, the share did not keep pace. It declined from 28 percent to 27 percent. Married couples without children at home live in another 29 percent of suburban households. The remaining 15 percent are single-parent homes. Use the given information on type of household in the year 2000 to construct a frequency distribution and a bar chart. (Make sure to only extract the year 2000 percentages from the given information.)

For each of the five data sets described, answer the following three questions and then use Figure 2.2 (on page 48 ) to select an appropriate graphical display. Question 1: How many variables are in the data set? Question 2: Is the data set categorical or numerical? Question 3: Would the purpose of a graphical display be to summarize the data distribution, to compare groups, or to investigate the relationship between two numerical variables? Data Set 1: To learn about the heights of five-year-old children, the height of each child in a sample of 40 five-year-old children was measured. Data Set 2: To see if there is a difference in car color preferences of men and women, each person in a sample of 100 males and each person in a sample of 100 females was shown pictures of a new model car in five different colors and asked to select which color they would choose if they were to purchase the car. Data Set 3: To learn how GPA at the end of the freshman year in college is related to high school GPA, both high school GPA and freshman year GPA were determined for each student in a sample of 100 students who had just completed their freshman year at a particular college. Data Set 4: To learn how the amount of money spent on a fast-food meal might differ for men and women, the amount spent on lunch at a particular fast-food restaurant was determined for each person in a sample of 50 women and each person in a sample of 50 men. Data Set 5: To learn about political affiliation (Democrat, Republican, Independent, and so on) of students at a particular college, each student in a random sample of 200 students was asked to indicate his or her political affiliation.

Heal the Bay is an environmental organization that releases an annual beach report card based on water quality (Heal the Bay Beach Report Card, May 2009). The 2009 ratings for 14 beaches in San Francisco County during wet weather were: $$ \mathrm{A}+\mathrm{C} \mathrm{B} \mathrm{A} \quad \mathrm{A}+\mathrm{A}+\mathrm{A} \mathrm{A}+\mathrm{B} \mathrm{D} \mathrm{C} \mathrm{D} \mathrm{F} \mathrm{F} $$ a. Summarize the wet weather ratings by constructing a relative frequency distribution and a bar chart. b. The dry weather ratings for these same beaches were: \(\mathrm{A} \mathrm{B} \mathrm{B} \quad \mathrm{A}+\mathrm{A} \mathrm{F} \quad \mathrm{A} \quad \mathrm{A} \quad \mathrm{A} \quad \mathrm{A} \quad \mathrm{A} \quad \mathrm{A} \quad \mathrm{B} \quad \mathrm{A}\) Construct a bar chart for the dry weather ratings. c. Do the bar charts from Parts (a) and (b) support the statement that beach water quality tends to be better in dry weather conditions? Explain.

For the following numerical variables, state whether each is discrete or continuous. a. The number of insufficient-funds checks received by a grocery store during a given month b. The amount by which a 1 -pound package of ground beef decreases in weight (because of moisture loss) before purchase c. The number of New York Yankees during a given year who will not play for the Yankees the next year d. The number of students in a class of 35 who have purchased a used copy of the textbook
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.