MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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This educational exercise focuses on analyzing a frequency distribution related to ages at which awards were won. The task is to identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries. Additionally, the total number of individuals included in the summary should be determined.

Data table:
- **Age (yr) when award was won**
  - 25-34: Frequency = 31
  - 35-44: Frequency = 35
  - 45-54: Frequency = 16
  - 55-64: Frequency = 5
  - 65-74: Frequency = 2
  - 75-84: Frequency = 2
  - 85-94: Frequency = 1

### Steps for Analysis:

1. **Lower and Upper Class Limits:**
   - Identify the smallest and largest values in each age range.

2. **Class Width:**
   - Calculate by subtracting the lower limit of one class from the lower limit of the subsequent class.

3. **Class Midpoints:**
   - Determine by averaging the lower and upper limits of each class.

4. **Class Boundaries:**
   - Establish by averaging the upper limit of a class and the lower limit of the next class to avoid gaps between classes.

5. **Total Number of Individuals:**
   - Add the frequencies from all classes to calculate the total number of individuals represented in the data.

This breakdown will help in interpreting demographic trends and patterns related to age and award-winning occurrences.
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Transcribed Image Text:This educational exercise focuses on analyzing a frequency distribution related to ages at which awards were won. The task is to identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries. Additionally, the total number of individuals included in the summary should be determined. Data table: - **Age (yr) when award was won** - 25-34: Frequency = 31 - 35-44: Frequency = 35 - 45-54: Frequency = 16 - 55-64: Frequency = 5 - 65-74: Frequency = 2 - 75-84: Frequency = 2 - 85-94: Frequency = 1 ### Steps for Analysis: 1. **Lower and Upper Class Limits:** - Identify the smallest and largest values in each age range. 2. **Class Width:** - Calculate by subtracting the lower limit of one class from the lower limit of the subsequent class. 3. **Class Midpoints:** - Determine by averaging the lower and upper limits of each class. 4. **Class Boundaries:** - Establish by averaging the upper limit of a class and the lower limit of the next class to avoid gaps between classes. 5. **Total Number of Individuals:** - Add the frequencies from all classes to calculate the total number of individuals represented in the data. This breakdown will help in interpreting demographic trends and patterns related to age and award-winning occurrences.
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