Problem

The following frequency table shows the number of players on the Pouncing Tigers soccer team that have scored during each match this year.
\begin{tabular}{|cc|}
Number of scoring players & Number of matches \\
\hline 0 & 1 \\
\hline 1 & 2 \\
\hline 2 & 4 \\
\hline 3 & 0 \\
\hline 4 & 1 \\
\hline
\end{tabular}
How many matches have there been this year?
matches

Answer

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Answer

Final Answer: The total number of matches that have been played this year is \(\boxed{8}\).

Steps

Step 1 :The following frequency table shows the number of players on the Pouncing Tigers soccer team that have scored during each match this year: \[\begin{tabular}{|cc|} Number of scoring players & Number of matches \\ \hline 0 & 1 \\ \hline 1 & 2 \\ \hline 2 & 4 \\ \hline 3 & 0 \\ \hline 4 & 1 \\ \hline \end{tabular}\]

Step 2 :To find the total number of matches, we need to multiply the number of scoring players by the number of matches for each row and then sum up all the results.

Step 3 :Let's denote the number of scoring players as \(scoring\_players = [0, 1, 2, 3, 4]\) and the number of matches as \(matches = [1, 2, 4, 0, 1]\).

Step 4 :By summing up the number of matches, we find that the total number of matches is \(total\_matches = 8\).

Step 5 :Final Answer: The total number of matches that have been played this year is \(\boxed{8}\).

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