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Ch. 1 - Introduction to Statistics
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446당신이 사용하는 게 아니라요?교과서 변경
1장, 문제 1.2.2.3

Quantitative/Categorical Data Identify each of the following as quantitative data or categorical data


c. The colors of the M&M candies in Data Set 38 “Candies” in Appendix B

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Understand the difference between quantitative and categorical data: Quantitative data represents numerical values that can be measured or counted (e.g., height, weight, age), while categorical data represents characteristics or attributes that can be grouped into categories (e.g., colors, types, labels).
Examine the data provided in the problem. The problem mentions the 'colors of the M&M candies,' which are descriptive attributes rather than numerical values.
Determine whether the data can be measured or counted numerically. Since colors are descriptive and cannot be measured numerically, they do not qualify as quantitative data.
Classify the data as categorical. Colors represent categories (e.g., red, blue, green) and are used to group or classify the candies.
Conclude that the colors of the M&M candies in the given data set are an example of categorical data.

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주요 개념

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Quantitative Data

Quantitative data refers to numerical information that can be measured and expressed mathematically. This type of data allows for statistical analysis and can be used to calculate averages, variances, and other statistical measures. Examples include height, weight, and temperature, where the values can be quantified and compared.
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Visualizing Qualitative vs. Quantitative Data

Categorical Data

Categorical data represents characteristics or qualities that can be divided into distinct groups or categories. This type of data is often non-numeric and can include labels or names, such as colors, types, or classifications. Categorical data can be further divided into nominal (no inherent order) and ordinal (with a meaningful order) categories.
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가이드 코스
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Visualizing Qualitative vs. Quantitative Data

Data Classification

Data classification is the process of organizing data into categories based on shared characteristics. Understanding whether data is quantitative or categorical is crucial for selecting appropriate statistical methods and analyses. This classification helps in interpreting data correctly and applying the right statistical tests for analysis.
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Visualizing Qualitative vs. Quantitative Data
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교과서 질문

In Exercises 9–20, identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster.

Reported and Observed Results A Harris Interactive study involved 1013 adults who were interviewed about washing their hands in restrooms and another 6336 adults who were observed in public restrooms.

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교과서 질문

In Exercises 29–36, identify what is wrong.

Potatoes In a poll sponsored by the Idaho Potato Commission, 1000 adults were asked to select their favorite vegetables, and the favorite choice was potatoes, which were selected by 26% of the respondents.

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교과서 질문

In Exercises 21–28, determine which of the four levels of measurement (nominal, ordinal, interval, ratio) best describes the given data.

Movie Ratings In a college film studies course, students rate ten documentaries using a scale of 0 to 5 stars.

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교과서 질문

In Exercises 13–20, determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance.


Mendel’s Genetics Experiments One of Gregor Mendel’s famous hybridization experiments with peas yielded 580 offspring with 152 of those peas (or 26%) having yellow pods. According to Mendel’s theory, 25% of the offspring peas should have yellow pods.

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In Exercises 37–44, answer the given questions, which are related to percentages.

Checking Job Applicants In a study conducted by the Society for Human Resource Management, 347 human resource professionals were surveyed. Of those surveyed, 73% said that their companies conduct criminal background checks on all job applicants.


a. What is the exact value that is 73% of the 347 survey subjects?

b. Could the result from part (a) be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants? Why or why not?

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교과서 질문

In Exercises 29–36, identify what is wrong.

Storks and Babies In the years following the end of World War II, it was found that there was a strong correlation, or association, between the number of human births and the stork population. It therefore follows that storks cause babies.

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