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MIBD-176 ``` ```js x cs ``` `````` ### 1. Understanding the Problem **a. What is the problem?** I need to determine the distribution of different grades in a classroom. This includes calculating the number of students who received As, Bs, Cs, Ds, and Fs. **b. What is required?** I need to develop a system that organizes and analyzes the grades of students in a classroom. **c. What are the constraints?** 1. **Uniformity of Grades**: Grades should be comparable across different subjects. 2. **Consistency of Scale**: Grades should be calculated using a consistent grading scale. 3. **Data Integrity**: Data must be accurate and secure. **d. What are the variables?** 1. **Number of Individuals**: Number of students in the classroom. 2. **Grading Scale**: The scale used to assign grades (e.g., A, B, C, D, F). 3. **Overall Scores**: The overall scores of each student. 4. **Grade Distribution**: Distribution of grades in the classroom. **e. What is the formula?** **General Formula**: ``` Grade Distribution = Number of students receiving a given grade / Total number of students in the classroom ``` ### 2. Analyzing and Developing Solutions **a. What is known?** 1. **Number of individuals**: 30 students in the classroom. 2. **Grading Scale**: A, B, C, D, F. 3. **Overall Scores**: 4 As, 7 Bs, 8 Cs, 5 Ds, 6 Fs. **b. What is required?** To calculate the distribution of different grades in the classroom. **c. What are the constraints?** 1. **Accurate Counting**: Each student's grade must be accurately recorded. 2. **Security**: Data must be secure to prevent tampering. **d. Algorithm:** ``` 1. Determine the number of students receiving each grade (As, Bs, Cs, Ds, Fs). 2. Calculate the distribution of each grade using the general formula. 3. Output the distribution of each grade. ``` **e. Procedure:** ``` 1. Determine the number of students receiving each grade (As=4, Bs=7, Cs=8, Ds=5, Fs=6). 2. Calculate the distribution of each grade: (a) Frequency multiplying each grade by 100 / total number of students. (b) Probability distribution using calculating probability of each grade in the classroom. 3. Output the distribution of each grade. ``` **f. Solution:** ``` 1. **Total number of students**: 30. for As: 4 students / 30 students = 13.3% for Bs: 7 students / 30 students = 23.3% for Cs: 8 students / 30 students = 26.7% for Ds: 5 students / 30 students = 16.7% for Fs: 6 students / 30 students = 20.0% 2. **As**: 13.3% **Bs**: 23.3% **Cs**: 26.7% **Ds**: 16.7% **Fs**: 20.0% 3. The distribution of grades in the classroom: As: 13.3% Bs: 23.3% Cs: 26.7% Ds: 16.7% Fs: 20.0% ``` **g. What is the solution?** The distribution of different grades in the classroom is: As: 13.3% Bs: 23.3% Cs: 26.7% Ds: 16.7% Fs: 20.0%

2007年7月13日237 分