Question
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The cumulative frequency of C grades in our class of 33 students was 44 . Choose the correct answer below. A. The statement does not make sense because more students should have gotten B grades. B. The statement does not make sense because the frequency cannot be greater than the total. C. The statement makes sense because it could have been a very difficult class. D. The statement makes sense because the cumulative frequency should be greater than the total.
Ask by Fitzgerald Fowler. in the United States
Mar 05,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The statement does not make sense because the cumulative frequency cannot exceed the total number of students.
Solution
To evaluate the statement "The cumulative frequency of C grades in our class of 33 students was 44," we need to understand what cumulative frequency means. Cumulative frequency is the sum of the frequencies of all grades up to and including a certain grade.
1. **Understanding Cumulative Frequency**:
- If the cumulative frequency of C grades is 44, it implies that the total number of students who received C grades, as well as all grades below C (like D and F), adds up to 44.
- However, since there are only 33 students in the class, it is impossible for the cumulative frequency to exceed the total number of students.
2. **Analyzing the Options**:
- **A. The statement does not make sense because more students should have gotten B grades.**
- This option is not relevant because it does not address the core issue of the cumulative frequency exceeding the total number of students.
- **B. The statement does not make sense because the frequency cannot be greater than the total.**
- This option is correct. The cumulative frequency cannot exceed the total number of students, which is 33.
- **C. The statement makes sense because it could have been a very difficult class.**
- This option is misleading. The difficulty of the class does not change the fact that the cumulative frequency cannot exceed the total number of students.
- **D. The statement makes sense because the cumulative frequency should be greater than the total.**
- This option is incorrect. Cumulative frequency should never exceed the total number of students.
Based on this analysis, the correct answer is:
**B. The statement does not make sense because the frequency cannot be greater than the total.**
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
The correct answer is B. The statement does not make sense because the frequency cannot be greater than the total. Cumulative frequency is the total number of observations up to a certain point in a frequency distribution. In this case, if there are 33 students in a class, the cumulative frequency of C grades (44) cannot exceed the total number of students. It would imply that some students are counted multiple times or that more students received C grades than actually exist in the class. Understanding cumulative frequency can help clarify distribution patterns, and in this case, it highlights an error in the provided data.
