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Chapter 1: Problem 13

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

Short Answer

Expert verified
a. Categorical. b. Categorical. c. Numerical - Continuous. d. Numerical - Continuous. e. Categorical. f. Numerical - Continuous.

Step by step solution

01

Classify 'Brand of computer purchased by a customer'

This is categorical data. Brands are considered categories, not numerical values.
02

Classify 'State of birth for someone born in the United States'

This is also categorical data. States are categories, not numerical values that could be meaningfully added together, for example.
03

Classify 'Price of a textbook'

This is numerical data. Prices can be meaningfully added together, subtracted, etc. Because price could theoretically take on any value within a certain range, it is continuous.
04

Classify 'Concentration of a contaminant (micrograms per cubic centimeter) in a water sample'

This is numerical data. Concentrations are expressed in numbers and can be meaningfully manipulated mathematically. Because concentration could theoretically be any value within a certain range, it is continuous.
05

Classify 'Zip code'

Although a zip code is composed of numbers, it is actually categorical data. This is because zip codes represent categories (specific geographic areas) and it doesn't make sense to perform mathematical operations on them. For example, adding together two zip codes would have no meaningful interpretation.
06

Classify 'Actual weight of coffee in a 1 -pound can'

This is numerical data, more specifically, it's continuous. While we might have specific measurements, in theory the weight of coffee could take on any value within a certain range (up to 1 pound in this case).

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Most popular questions from this chapter

The U.S. Department of Education reported that \(14 \%\) of adults were classified as being below a basic literacy level, \(29 \%\) were classified as being at a basic literacy level, \(44 \%\) were classified as being at an intermediate literacy level, and \(13 \%\) were classified as being at a proficient level (2oo3 National Assessment of Adult Literacy). a. Is the variable literacy level categorical or numerical? b. Would it be appropriate to display the given information using a dotplot? Explain why or why not. c. Construct a bar chart to display the given data on literacy level.

In a survey of 100 people who had recently purchased motorcycles, data on the following variables were recorded: Gender of purchaser Brand of motorcycle purchased Number of previous motorcycles owned by purchaser Telephone area code of purchaser Weight of motorcycle as equipped at purchase a. Which of these variables are categorical? b. Which of these variables are discrete numerical? c. Which type of graphical display would be an appropriate choice for summarizing the gender data, a bar chart or a dotplot? d. Which type of graphical display would be an appropriate choice for summarizing the weight data, a bar chart or a dotplot?

The increasing popularity of online shopping has many consumers using Internet access at work to browse and shop online. In fact, the Monday after Thanksgiving has been nicknamed "Cyber Monday" because of the large increase in online purchases that occurs on that day. Data from a large-scale survey by a market research firm (Detroit Free Press, November 26,2005 ) was used to compute estimates of the percent of men and women who shop online while at work. The resulting estimates probably won't make most employers happy \(-42 \%\) of the men and \(32 \%\) of the women in the sample were shopping online at work! Are the estimates given computed using data from a sample or for the entire population?

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

The student senate at a university with 15,000 students is interested in the proportion of students who favor a change in the grading system to allow for plus and minus grades (e.g., \(\mathrm{B}+, \mathrm{B}, \mathrm{B}-\), rather than just \(\mathrm{B}\) ). Two hundred students are interviewed to determine their attitude toward this proposed change. What is the population of interest? What group of students constitutes the sample in this problem?
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