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 with a class size of 5 kg and 7 classes. The class boundaries are extended by 0.5 on either side:
Class Boundaries (kg) | 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 | 13 |
25.5 - 30.5 | 6 |
30.5 - 35.5 | 2 |
Let me know if you'd like further details or explanations.
Here are 5 related questions to think about:
- How would the distribution change if the class size were 10 kg instead of 5 kg?
- Can we compute the relative frequencies and cumulative frequencies for this data?
- What is the midpoint for each class interval?
- How would you create a histogram based on this frequency distribution?
- How can the frequency distribution help in understanding the central tendency and spread of the data?
Tip: Frequency distributions are useful for organizing large datasets into manageable groups, making it easier to see patterns and trends!
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Class Boundaries
Formulas
Class Boundaries = Class Limits ± 0.5
Frequency Distribution = Count of items in each class
Theorems
None specific, but related to Descriptive Statistics and Data Organization
Suitable Grade Level
Grades 9-12
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