Determine whether the data are qualitative or quantitative. Expla...

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1. Intro to Stats and Collecting Data55m
2. Describing Data with Tables and Graphs1h 55m
3. Describing Data Numerically1h 45m
4. Probability2h 16m
5. Binomial Distribution & Discrete Random Variables2h 33m
6. Normal Distribution and Continuous Random Variables1h 38m
7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- Introduction to Confidence Intervals
  15m
- Confidence Intervals for Population Mean
  48m
8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- Sampling Distribution of Sample Proportion
  29m
- Confidence Intervals for Population Proportion
  42m
9. Hypothesis Testing for One Sample1h 1m
- Steps in Hypothesis Testing
  1h 1m
10. Hypothesis Testing for Two Samples2h 8m
11. Correlation48m
- Scatterplots & Intro to Correlation
  26m
- Correlation Coefficient
  21m
12. Regression1h 4m
13. Chi-Square Tests & Goodness of Fit1h 20m
14. ANOVA1h 0m

1. Intro to Stats and Collecting Data

Intro to Stats

Statistics

1. Intro to Stats and Collecting Data

Intro to Stats

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1:48 minutes

Problem 1.RE.12

Textbook Question

Determine whether the data are qualitative or quantitative. Explain your reasoning.
The zip codes of a sample of 200 customers at a sporting goods store

Verified step by step guidance

Identify the type of data being analyzed. In this case, the data consists of zip codes, which are numerical identifiers assigned to geographic regions.

Understand the distinction between qualitative and quantitative data. Qualitative data describes categories or qualities (e.g., colors, names, or labels), while quantitative data represents numerical values that can be measured or counted (e.g., height, weight, or age).

Consider whether the zip codes represent measurable quantities or simply serve as labels. Zip codes are not used to measure or count anything; instead, they categorize geographic areas.

Conclude that zip codes are qualitative data because they are used as labels to identify regions rather than as numerical values with inherent mathematical meaning.

Explain that even though zip codes are represented as numbers, their purpose is categorical, not quantitative, which makes them qualitative data.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Qualitative Data

Qualitative data refers to non-numeric information that describes characteristics or qualities. It is often categorical, meaning it can be divided into groups or categories based on attributes. Examples include names, colors, or zip codes, which provide descriptive insights rather than measurable quantities.

Quantitative Data

Quantitative data consists of numeric values that can be measured and analyzed statistically. This type of data can be further classified into discrete data, which can take specific values, and continuous data, which can take any value within a range. Examples include height, weight, or sales figures, which allow for mathematical operations.

Zip Codes as Data

Zip codes are a specific type of qualitative data, as they categorize geographic areas without providing numerical measurements. While they consist of numbers, zip codes serve to identify locations rather than quantify them. Therefore, when analyzing zip codes, one should treat them as labels that represent different regions rather than as numerical data.

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Determine whether the data are qualitative or quantitative. Explain your reasoning.The zip codes of a sample of 200 customers at a sporting goods store