\begin{tabular}{cr} County & Percentage \\\hline A & 9.8% \\B & 8.8% \\C & 7.8% \\D & 5.2% \\E & 17.3% \\F & 4.7% \\G & ? \\H & 4.7%\end{tabular}The table partially summarizes the percent of residents in different counties who participate in performing arts at least once a month. The percentages have a range of 12.9%. What could be the percentage of county G residents who participate in performing arts at least once a month?
Q. \begin{tabular}{cr} County & Percentage \\\hline A & 9.8% \\B & 8.8% \\C & 7.8% \\D & 5.2% \\E & 17.3% \\F & 4.7% \\G & ? \\H & 4.7%\end{tabular}The table partially summarizes the percent of residents in different counties who participate in performing arts at least once a month. The percentages have a range of 12.9%. What could be the percentage of county G residents who participate in performing arts at least once a month?
Identify Range: question_prompt: What could be the percentage of county G residents who participate in performing arts at least once a month?
Find Highest Percentage: To find the percentage for county G, we need to identify the highest and lowest percentages from the table and use the given range.
Find Lowest Percentage: The highest percentage given is for county E, which is 17.3%.
Calculate Range: The lowest percentage is for county F, which is 4.7%.
Calculate Correct Range: Calculate the range by subtracting the lowest percentage from the highest percentage: 17.3%−4.7%.
Calculate Correct Range: Calculate the range by subtracting the lowest percentage from the highest percentage: 17.3%−4.7%. The calculation gives us 17.3%−4.7%=12.6%, but the problem states that the range is 12.9%. This is a mistake because we should have used the correct range given in the problem.
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