Math Problem Statement
Which of the following is not considered desirable when constructing a frequency distribution for continuous data? Question content area bottom Part 1 A. All-inclusive classes B. Open-ended classes C. Equal-width classes D. Mutually exclusive classes
Solution
The correct answer is:
B. Open-ended classes
Explanation:
When constructing a frequency distribution for continuous data, the following elements are desirable:
- All-inclusive classes (A): Every data point should fit into some class to avoid missing values.
- Equal-width classes (C): Ensures that comparisons between intervals are meaningful and consistent.
- Mutually exclusive classes (D): Each data point should fall into exactly one class to avoid ambiguity.
However:
- Open-ended classes (B) are not preferred because they do not provide clear boundaries (e.g., "40 and above"). This makes it difficult to accurately analyze or interpret data. Open-ended classes are typically used only when data collection constraints require them (e.g., extreme values).
Would you like more details or have further questions?
Here are 5 related questions you might find interesting:
- What are the main types of frequency distributions?
- How do you determine the appropriate class width for a dataset?
- What are cumulative frequency distributions, and when are they used?
- How can a histogram be derived from a frequency distribution?
- What are some common issues when summarizing continuous data?
Tip: Always ensure that the class intervals in a frequency distribution do not overlap; this avoids confusion when categorizing data points.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Continuous Data
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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