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Decide whether the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The relative frequency of B grades in our class was 0.3 . Choose the correct answer below. A. The statement makes sense. Suppose there were 20 people in the class. If 4 received Bs and 2 received As, then the relative frequency of \( B \) grades was \( \frac{4+2}{20}=\frac{6}{20}=0.3 \). B. The statement makes sense. Suppose there were 20 people in the class. If 6 received Bs, then the relative frequency of B grades was \( \frac{6}{20}=0.3 \). C. The statement does not make sense. Statements about relative frequencies only make sense when the total number of data values is given. D. The statement does not make sense. Relative frequencies must be integers, and 0.3 is not an integer.

Ask by Romero O'Quinn. in the United States
Mar 05,2025

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The statement makes sense. If 6 out of 20 students received B grades, the relative frequency is 0.3.

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B. The statement makes sense. Suppose there were 20 people in the class. If 6 received Bs, then the relative frequency of B grades was \( \frac{6}{20}=0.3 \). The reasoning is straightforward: relative frequency is calculated by taking the number of occurrences of a particular grade (in this case, B) and dividing it by the total number of grades given in the class. Since 6 out of 20 students receiving a B results in a relative frequency of 0.3, this statement holds true and makes sense in this context.

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