84. 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?
Answer: A
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.
In Spelling Bee 1, the participants had a higher success rate in spelling the words correctly compared to those in Spelling Bee 2. This indicates that the performance of the spellers in the first competition was superior to that in the second.
A) 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.
This statement is correct as it accurately reflects the comparison of success rates between the two bees. By analyzing the data from both spelling bees, it is evident that the proportion of correctly spelled words in Spelling Bee 1 exceeded that of Spelling Bee 2, confirming the validity of this assertion.
B) The fraction of the words given that were spelled correctly in Spelling Bee 2 was greater than the fraction of the words given that were spelled correctly in Spelling Bee 1.
This statement is incorrect because it contradicts the data indicating that Spelling Bee 1 had a higher fraction of words spelled correctly. Such a claim would imply a reversal of the actual performance metrics, which does not align with the provided figures.
C) The fraction of the words given that were spelled correctly in Spelling Bee 2 was greater than the fraction of the words given that were spelled correctly in Spelling Bee 3.
This statement cannot be determined as true based on the information provided. Without specific data from Spelling Bee 3, it is impossible to make a valid comparison between the performance of Spelling Bee 2 and Spelling Bee 3.
D) The fraction of the words given that were spelled correctly in Spelling Bee 3 was greater than the fraction of the words given that were spelled correctly in Spelling Bee 2.
This statement is also unsubstantiated. Without the numerical data for Spelling Bee 3, we cannot confirm that its success rate was greater than that of Spelling Bee 2, making this statement speculative at best.
Conclusion
The correct answer, A, is supported by the data showing that Spelling Bee 1 had a higher success rate than Spelling Bee 2, making it the only accurate statement. All other options either misrepresent the data or cannot be substantiated without additional information, highlighting the importance of relying on factual comparisons in performance analysis.