Problem

Bookwork code: M65 The table below shows the scores awarded to competitors in a dance competition. What is the modal class of scores? \begin{tabular}{|c|c|} \hline Score & Frequency \\ \hline $0-3$ & 6 \\ \hline $4-7$ & 25 \\ \hline $8-11$ & 14 \\ \hline $12-15$ & 22 \\ \hline $16-19$ & 8 \\ \hline $20-23$ & 14 \\ \hline \end{tabular}

Solution

Step 1 :Find the class with the highest frequency in the table: \(\begin{tabular}{|c|c|} \hline Score & Frequency \\ \hline 0-3 & 6 \\ \hline 4-7 & 25 \\ \hline 8-11 & 14 \\ \hline 12-15 & 22 \\ \hline 16-19 & 8 \\ \hline 20-23 & 14 \\ \hline \end{tabular}\)

Step 2 :The modal class is the one with the highest frequency, which is 25. So, the modal class of scores is \(\boxed{4-7}\)

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