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.

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 BoundariesFrequency
0.5 - 5.53
5.5 - 10.55
10.5 - 15.56
15.5 - 20.58
20.5 - 25.514
25.5 - 30.56
30.5 - 35.52

Would you like more details or have any questions?

Here are five related questions to extend your understanding:

  1. How would the frequency distribution change if the class size was increased to 10 kg?
  2. What is the total percentage of items in the 20.5 - 25.5 kg class?
  3. How can you determine the cumulative frequency distribution from this table?
  4. What are the midpoints for each class interval, and how are they useful?
  5. 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

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Suitable Grade Level

Grades 9-12