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A professor records the following final grades in one course. Construct a frequency table for the grades. B B B B се C D D D F A C A C A C B C B C B D B D Complete the table. (Type an integer or decimal rounded to the nearest tenth as needed.) Grade Frequency Relative frequency Cumulative frequency A

A professor records the following final grades in one course. Construct a frequency table for the grades. B B B B се C D D D F A C A C A C B C B C B D B D Complete the table. (Type an integer or decimal rounded to the nearest tenth as needed.) Grade Frequency Relative frequency Cumulative frequency A

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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### Frequency Table for Final Grades A professor records the following final grades in one course. Construct a frequency table for the grades: **Grades:** A A A B B B B B B C C C C C D D D D D F --- ### Complete the Table: (Type an integer or decimal rounded to the nearest tenth as needed.) | Grade | Frequency | Relative Frequency (%) | Cumulative Frequency | |-------|-----------|------------------------|----------------------| | A | | | | | B | | | | | C | | | | | D | | | | | F | | | | ### Instructions: 1. **Frequency:** Count the number of times each grade appears. 2. **Relative Frequency:** Calculate the relative frequency by dividing the frequency of each grade by the total number of grades and then multiplying by 100 to get a percentage. 3. **Cumulative Frequency:** Add the frequency of each grade to the sum of the frequencies of all previous grades. ### Example Calculation: Suppose we have the following counts: - Grade A appears 3 times. - Grade B appears 6 times. - Grade C appears 5 times. - Grade D appears 5 times. - Grade F appears 1 time. The total number of grades is \(3 + 6 + 5 + 5 + 1 = 20\). - **Relative Frequency:** - A: \((3/20) \times 100 = 15%\) - B: \((6/20) \times 100 = 30%\) - C: \((5/20) \times 100 = 25%\) - D: \((5/20) \times 100 = 25%\) - F: \((1/20) \times 100 = 5%\) - **Cumulative Frequency:** - A: 3 - B: \(3 + 6 = 9\) - C: \(9 + 5 = 14\) - D: \(14 + 5 = 19\) - F: \(19 + 1 = 20\) By calculating these values, students can develop a better understanding of how to
Transcribed Image Text:### Frequency Table for Final Grades A professor records the following final grades in one course. Construct a frequency table for the grades: **Grades:** A A A B B B B B B C C C C C D D D D D F --- ### Complete the Table: (Type an integer or decimal rounded to the nearest tenth as needed.) | Grade | Frequency | Relative Frequency (%) | Cumulative Frequency | |-------|-----------|------------------------|----------------------| | A | | | | | B | | | | | C | | | | | D | | | | | F | | | | ### Instructions: 1. **Frequency:** Count the number of times each grade appears. 2. **Relative Frequency:** Calculate the relative frequency by dividing the frequency of each grade by the total number of grades and then multiplying by 100 to get a percentage. 3. **Cumulative Frequency:** Add the frequency of each grade to the sum of the frequencies of all previous grades. ### Example Calculation: Suppose we have the following counts: - Grade A appears 3 times. - Grade B appears 6 times. - Grade C appears 5 times. - Grade D appears 5 times. - Grade F appears 1 time. The total number of grades is \(3 + 6 + 5 + 5 + 1 = 20\). - **Relative Frequency:** - A: \((3/20) \times 100 = 15%\) - B: \((6/20) \times 100 = 30%\) - C: \((5/20) \times 100 = 25%\) - D: \((5/20) \times 100 = 25%\) - F: \((1/20) \times 100 = 5%\) - **Cumulative Frequency:** - A: 3 - B: \(3 + 6 = 9\) - C: \(9 + 5 = 14\) - D: \(14 + 5 = 19\) - F: \(19 + 1 = 20\) By calculating these values, students can develop a better understanding of how to
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