Math Problem Statement
Solution
The question asks for classifying data types (quantitative or qualitative) for each scenario listed. Here’s an analysis for each:
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Determining which people in class are tall vs. which people in class are short.
- Data Type: Qualitative (classifying people based on categories: tall or short)
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A student at CHS polled all teachers in the school district to determine if each teacher bought their car as new or used.
- Data Type: Qualitative (categorizing each car as either new or used)
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A research psychologist sent out a questionnaire to determine how many dreams each subject has per week.
- Data Type: Quantitative (counting the number of dreams, which is numerical)
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A football coach researched a certain offensive play his team ran during a season. The results of the play were recorded as positive, negative, or zero yardage.
- Data Type: Quantitative (yardage is a measurable quantity, even if categorized as positive, negative, or zero)
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Each Junior’s ACT in the USA was collected to determine trends.
- Data Type: Quantitative (ACT scores are numerical values that can indicate trends)
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A basketball coach reviewed the free throw percentages of all players on the team.
- Data Type: Quantitative (percentages are numerical and measurable)
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Hospitals across the world record the EKG’s of patients. Certain patterns in the EKG’s have been determined to indicate a healthy heart and other patterns have been determined to indicate a diseased heart.
- Data Type: Qualitative (categorizing patterns as either “healthy” or “diseased”)
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A baseball coach reviews each player’s batting averages vs. left-handed pitchers.
- Data Type: Quantitative (batting averages are numerical values)
If you'd like further clarification or have questions about these classifications, feel free to ask!
Questions for deeper understanding:
- What are the key differences between quantitative and qualitative data?
- How can quantitative data be further divided into discrete and continuous types?
- Can qualitative data sometimes be represented numerically? Give an example.
- How do researchers ensure consistency when collecting qualitative data?
- In what cases would a researcher prefer qualitative data over quantitative data?
Tip:
Quantitative data can be easily analyzed using mathematical calculations, while qualitative data often requires categorization and descriptive statistics for meaningful insights.
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Math Problem Analysis
Mathematical Concepts
Data Classification
Quantitative vs. Qualitative Data
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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