For each of three spelling bees held last week, the table shows the number of words given and the number of words spelled correctly. Which of the following statements is true?
The fraction of the words given that were spelled correctly in Spelling Bee 1 was greater than the fraction of the words given that were spelled correctly in Spelling Bee 2.
Analyzing the performance in both Spelling Bee 1 and Spelling Bee 2 reveals that the accuracy in Spelling Bee 1 surpassed that of Spelling Bee 2, making statement A true. By calculating the fractions of words spelled correctly in each bee, it becomes clear that the comparison favors Spelling Bee 1.
This statement is true as the calculations show that the number of correctly spelled words in Spelling Bee 1 divided by the total number of words given results in a higher fraction compared to Spelling Bee 2. Thus, Spelling Bee 1 demonstrates superior performance.
This statement is false because the calculations indicate that Spelling Bee 2 had a lower fraction of correctly spelled words than Spelling Bee 1. Therefore, it inaccurately represents the performance comparison between the two spelling bees.
This statement is also false, as the analysis shows that Spelling Bee 3 had a higher fraction of words spelled correctly compared to Spelling Bee 2. Thus, it misrepresents the performance of the spelling bees.
While this statement is true, it is not the correct answer to the question posed, which specifically asks for a comparison involving Spelling Bee 1 and Spelling Bee 2. Therefore, it does not address the primary query.
After careful evaluation of the fractions of words spelled correctly in each spelling bee, it is evident that Spelling Bee 1 outperformed Spelling Bee 2. Statement A accurately reflects this comparison, confirming its truthfulness. Statements B, C, and D either misrepresent the performance or do not directly answer the question regarding the specific comparison requested.
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