Math Problem Statement
Based on the data, using a class size of 5 kg and 7 classes, construct a frequency distribution with a class boundary.
Solution
Here is the frequency distribution based on the given data, using a class size of 5 kg and 7 classes:
Class Boundaries | Frequency |
---|---|
0.5 - 5.5 | 3 |
5.5 - 10.5 | 5 |
10.5 - 15.5 | 6 |
15.5 - 20.5 | 8 |
20.5 - 25.5 | 14 |
25.5 - 30.5 | 6 |
30.5 - 35.5 | 2 |
Would you like more details or have any questions?
Here are five related questions to extend your understanding:
- How would the frequency distribution change if the class size was increased to 10 kg?
- What is the total percentage of items in the 20.5 - 25.5 kg class?
- How can you determine the cumulative frequency distribution from this table?
- What are the midpoints for each class interval, and how are they useful?
- How would you represent this data graphically (e.g., histogram or frequency polygon)?
Tip: When creating class boundaries, always subtract and add 0.5 to avoid ambiguity in data classification.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Class Boundaries
Formulas
Class width = (Max value - Min value) / Number of classes
Theorems
-
Suitable Grade Level
Grades 9-12
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