Question

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?

• A. \(7.1\)
• B. \(7.6\)
• C. \(8.3\)
• D. \(14.1\)

Hint:

Add the Blues counts for the two youngest age groups and divide by their combined total.

Answer 1

The Correct Option is B

Step 1: Find the total Blues responses across all ages.
Adding all three age groups for Blues: $2 + 3 + 15 = 20$ people like Blues in total.

Step 2: Remove the 31+ group to get the under-31 count.
The $31+$ group has $15$ Blues fans, so under-$31$ Blues fans are $20 - 15 = 5$.

Step 3: Find the under-31 sample size the same way.
The full sample is $33 + 33 + 68 = 134$. Removing the $31+$ group of $68$ gives $134 - 68 = 66$ people under $31$.

Step 4: Divide to get the percentage.
$\frac{5}{66} \times 100 = 7.58\%$, which rounds to $7.6\%$.

Final Answer:
Working from the grand total downward gives the same share. \[ \boxed{7.6\%} \]