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Chapter 1: Problem 24

Buying a refrigerator. Consumer Reports will have an article comparing refrigerators in the next issue. Some of the characteristics to be included in the report are the brand name and model; whether it has a top, bottom, or side-byside freezer; the estimated energy consumption per year (kilowatts); whether or not it is Energy Star compliant; the width, depth, and height in inches; and both the freezer and refrigerator net capacity in cubic feet. Which of these variables are categorical, and which are quantitative? Give the units for the quantitative variables and the categories for the categorical variables. What are the individuals in the report?

Short Answer

Expert verified
Categorical: Brand name, model, freezer type. Quantitative: Energy consumption (kW), dimensions (in), capacities (cubic ft). Individuals: Refrigerators.

Step by step solution

01

Define Categorical Variables

Categorical variables are those that represent categories or groups. In this problem, the categorical variables are the brand name and model, and the type of freezer (top, bottom, or side-by-side). These do not have numerical values but rather represent different categories.
02

Define Quantitative Variables

Quantitative variables are numerical values that can be measured. Here, the quantitative variables include the estimated energy consumption per year (measured in kilowatts), the width, depth, and height (measured in inches), and the freezer and refrigerator net capacity (measured in cubic feet).
03

Identify the Individuals in the Report

The individuals in this report are the different refrigerators being compared. Each refrigerator is considered an individual entity with its own set of characteristics and measurements.

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Key Concepts

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

Categorical Variables
Categorical variables are types of data that divide individuals into distinct groups or categories. In the context of Consumer Reports comparing refrigerators, examples of categorical variables include:
  • Brand Name and Model: Each refrigerator belongs to a specific brand and model. These are identifiers rather than measures.
  • Freezer Type: Refrigerators may have freezers located on the top, bottom, or side-by-side. Each of these options represents a separate category and helps consumers choose based on their preference.
Unlike numerical data, categorical variables do not involve quantities, making them inherently different from quantitative variables. Understanding categorical variables is crucial, as they can highlight distinctions and patterns in data.
Quantitative Variables
Quantitative variables refer to data that can be measured and expressed numerically. In the refrigerator comparison report, quantitative variables help quantify the characteristics of each refrigerator. These include:
  • Energy Consumption: Presented in kilowatts, this measures how much energy each refrigerator uses in a year. Lower energy consumption suggests better efficiency.
  • Dimensions: The width, depth, and height are measured in inches. This information is crucial for consumers ensuring the refrigerator will fit into their desired space.
  • Net Capacity: Measured in cubic feet, these figures indicate the available storage space in both the freezer and refrigerator sections. It helps consumers determine the volume of storage they will have.
These variables allow for direct comparison, making it easy to assess which refrigerators meet specific numeric requirements.
Units of Measurement
Units of measurement are essential for interpreting quantitative variables accurately. They provide a standard by which these variables are assessed and compared. In the context of the refrigerator report, the units of measurement used are:
  • Kilowatts: This unit measures energy consumption annually, indicating how energy-efficient a refrigerator might be.
  • Inches: Used to measure the refrigerator's dimensions like width, depth, and height. Critical for ensuring the proper fit.
  • Cubic Feet: Measures the capacity of the refrigerator and freezer. This helps gauge how much food and items they can store.
Utilizing clear units of measurement enhances clarity in comparisons and allows consumers to make informed purchasing decisions.
Consumer Reports
Consumer Reports is a respected non-profit organization that provides unbiased product ratings and reviews. Focused on informing and protecting consumers, it evaluates a variety of products across different categories, including electronics, home appliances, and more.
In the case of refrigerators, Consumer Reports gathers data on several variables, including brand reputation, energy efficiency, and storage capacity. It empowers consumers to make well-informed decisions by presenting comprehensive analysis and comparisons.
Hence, the information provided by Consumer Reports is highly valued by consumers looking to buy reliable products.
Individuals in Statistics
In the world of statistics, the term 'individuals' refers to the objects or entities about which we collect data. For this exercise, the individuals are the refrigerators themselves.
Each refrigerator in the report represents a single "individual" or data point. This includes its brand, model, energy consumption rate, and other characteristics.
Understanding the concept of 'individuals' helps one grasp how data is collected, organized, and analyzed. By examining these individual data points collectively, Consumer Reports can provide a broad comparison across brands and models.

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Most popular questions from this chapter

According to the National Household Survey on Drug Use and Health, when asked in \(2012,41 \%\) of those aged 18 to 24 years used cigarettes in the past year, \(9 \%\) used smokeless tobacco, \(36.3 \%\) used illicit drugs, and \(10.4 \%\) used pain relievers or sedatives. 15 To display this data, it would be correct to use (a) either a pie chart or a bar graph. (b) a pie chart provided a category for other is added to get to \(100 \%\). (c) a bar graph but not a pie chart.

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