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 the total sample indicated that Jazz is their favourite style of music?

• A. \(6\%\)
• B. \(8\%\)
• C. \(22\%\)
• D. \(12\%\)

Hint:

Add the Jazz counts across all three age groups and divide by the full sample size of 134.

Answer 1

The Correct Option is D

Step 1: Find the sample size a different way, by row instead of by column.
Add every genre's grand total: Classical $6+4+17=27$, Pop $7+5+5=17$, Rock $6+12+14=32$, Jazz $1+4+11=16$, Blues $2+3+15=20$, Hip-Hop $9+3+4=16$, Ambient $2+2+2=6$.

Step 2: Add these row totals together.
$27+17+32+16+20+16+6 = 134$, which matches the column total of $33+33+68$, confirming the sample size.

Step 3: Use the Jazz row total found above.
Jazz already came out to $16$ from the row addition.

Step 4: Compute the share.
$\frac{16}{134} \times 100 = 11.94\%$, which rounds to $12\%$.

Final Answer:
Checking the total by rows gives the same answer. \[ \boxed{12\%} \]