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Below are the scores of 26 firefighters on their initial firefighter's exam. Organize the information into a frequency distribution using the class intervals and compute the percentages and cumulative percentages 90, 100, 58, 56, 55, 60, 80, 65, 61, 99, 74 92, 91, 81, 61, 64, 78, 96, 70, 91, 62, 78, 57, 69, 83,94 Cumulative Class Intervals Frequency Percentage Percentage 11 55-69 70-84 85-100

Below are the scores of 26 firefighters on their initial firefighter's exam. Organize the information into a frequency distribution using the class intervals and compute the percentages and cumulative percentages 90, 100, 58, 56, 55, 60, 80, 65, 61, 99, 74 92, 91, 81, 61, 64, 78, 96, 70, 91, 62, 78, 57, 69, 83,94 Cumulative Class Intervals Frequency Percentage Percentage 11 55-69 70-84 85-100

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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### Frequency Distribution of Firefighters' Exam Scores Below are the scores of 26 firefighters on their initial firefighter's exam. Organize the information into a frequency distribution using the class intervals and compute the percentages and cumulative percentages. #### Scores: 90, 100, 58, 56, 55, 60, 80, 65, 61, 99, 74, 92, 91, 81, 61, 64, 78, 96, 70, 91, 62, 78, 57, 69, 83, 94 #### Frequency Distribution Table: | Class Intervals | Frequency | Percentage | Cumulative Percentage | |-----------------|-----------|------------|-----------------------| | 55 - 69 | 11 | | | | 70 - 84 | 7 | | | | 85 - 100 | 8 | | | ### Explanation: 1. **Class Intervals**: - The scores are divided into three class intervals: 55-69, 70-84, and 85-100. 2. **Frequency**: - The frequency column indicates how many scores fall within each class interval: - 11 scores fall in the range 55-69. - 7 scores fall in the range 70-84. - 8 scores fall in the range 85-100. 3. **Percentage**: - This column should be filled by calculating the percentage of scores within each class interval out of the total number of scores (26). 4. **Cumulative Percentage**: - This column should be filled by adding the percentage of the current class interval to the percentage of all previous class intervals. To complete the table: - Calculate each class interval’s percentage by dividing the frequency by the total number of scores and multiplying by 100. - Compute the cumulative percentage by progressively adding the percentages from the top interval downwards.
Transcribed Image Text:### Frequency Distribution of Firefighters' Exam Scores Below are the scores of 26 firefighters on their initial firefighter's exam. Organize the information into a frequency distribution using the class intervals and compute the percentages and cumulative percentages. #### Scores: 90, 100, 58, 56, 55, 60, 80, 65, 61, 99, 74, 92, 91, 81, 61, 64, 78, 96, 70, 91, 62, 78, 57, 69, 83, 94 #### Frequency Distribution Table: | Class Intervals | Frequency | Percentage | Cumulative Percentage | |-----------------|-----------|------------|-----------------------| | 55 - 69 | 11 | | | | 70 - 84 | 7 | | | | 85 - 100 | 8 | | | ### Explanation: 1. **Class Intervals**: - The scores are divided into three class intervals: 55-69, 70-84, and 85-100. 2. **Frequency**: - The frequency column indicates how many scores fall within each class interval: - 11 scores fall in the range 55-69. - 7 scores fall in the range 70-84. - 8 scores fall in the range 85-100. 3. **Percentage**: - This column should be filled by calculating the percentage of scores within each class interval out of the total number of scores (26). 4. **Cumulative Percentage**: - This column should be filled by adding the percentage of the current class interval to the percentage of all previous class intervals. To complete the table: - Calculate each class interval’s percentage by dividing the frequency by the total number of scores and multiplying by 100. - Compute the cumulative percentage by progressively adding the percentages from the top interval downwards.
Expert Solution
Step 1

The given data is:

90,100,58,56,55,60,80,65,61,99,75,92,91,81,61,64,78,96,70,91,61,78,57,69,83,94

The total of the frequency is=26

Now, the required table can be defined as:

 

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