The table below shows the number of people who responded to a survey about their favourite style of music. Use this information to answer to the nearest whole percentage. What percentage of respondents under \(31\) indicated that Blues is their favourite style of music?
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Add the Blues counts for the two youngest age groups and divide by their combined total.
Step 1: Identify the "under 31" respondents. "Under 31" covers the age groups \(15\)-\(20\) and \(21\)-\(30\). Their totals from the table are \(33\) and \(33\), so the combined total is \(33 + 33 = 66\).
Step 2: Find how many liked Blues in these groups. From the table, Blues has \(2\) responses in the \(15\)-\(20\) group and \(3\) responses in the \(21\)-\(30\) group, giving \(2 + 3 = 5\).
Step 3: Compute the percentage. Percentage \(= \frac{5}{66} \times 100 = 7.575\ldots\%\), which rounds to \(7.6\%\).
Step 4: Rule out the other options. \(7.1\%\) would come from mixing up the denominator, \(8.3\%\) does not match \(5\) out of \(66\), and \(14.1\%\) is roughly double the correct value.
Final Answer: The percentage is \(7.6\%\). \[ \boxed{7.6\%} \]
