Question

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
• A. 64%
• B. 60%
• C. 75%
• D. 36%
• A. 6%
• B. 8%
• C. 22%
• D. 12%

Answer 1

The Correct Option is B

Step 1 — Clarify the problem carefully:
We are asked: “What percentage of respondents under 31 indicated that Blues is their favourite style of music?”
This means we need to look at only the people whose ages are less than 31, i.e., those in the age brackets 15–20 and 21–30. We then compare how many of them chose Blues as their favourite, relative to the total number of respondents in these two groups combined.

Step 2 — Collect the relevant totals:
From the given table:
• Number of respondents in age group 15–20 = 33.
• Number of respondents in age group 21–30 = 33.
So, total respondents under 31 = 33 + 33 = 66.
This value 66 will be the denominator of our percentage calculation.

Step 3 — Extract the Blues fans in each age group:
Look at the Blues row in the table:
• For 15–20 age group, Blues fans = 2.
• For 21–30 age group, Blues fans = 3.
Now add them together: 2 + 3 = 5.
So there are 5 people under the age of 31 who reported Blues as their favourite style of music.

Step 4 — Set up the percentage formula:
Percentage of Blues fans (under 31) = (Number of Blues fans under 31 ÷ Total respondents under 31) × 100.
= (5 ÷ 66) × 100.

Step 5 — Perform the division step-by-step:
First compute the fraction 5 ÷ 66.
• 66 goes into 5 about 0.075757… (a repeating decimal).
So 5 ÷ 66 ≈ 0.07576.

Now multiply by 100 to convert into a percentage:
0.07576 × 100 ≈ 7.576%.

Step 6 — Round to the nearest whole tenth or hundredth as the question specifies “to the nearest whole percentage”:
7.576% rounds to 7.6%.

Step 7 — Interpret the result in words:
Out of all the respondents who are under the age of 31 (which is 66 individuals), only 5 people chose Blues as their favourite style of music. This proportion corresponds to about 7.6% of the under-31 group. In other words, fewer than 1 in 10 of the younger respondents prefer Blues, showing that Blues is a relatively less popular choice in this age bracket compared to other styles like Rock or Hip-Hop.

Final Answer: 7.6% (Option B).

Answer 2

Step 1 — Understand the requirement:
We need to calculate the percentage of respondents in the age group 21–30 who indicated a favourite style other than Rock. That means we first find the total number of respondents in 21–30, then count how many of them selected Rock, subtract this from the total, and finally compute the percentage.

Step 2 — Recall the totals for the 21–30 group:
From the table, the total number of respondents aged 21–30 = 33.
This will be the denominator of our percentage calculation.

Step 3 — Find Rock fans in 21–30:
From the “Rock” row in the table, the number of 21–30 respondents who chose Rock = 12.

Step 4 — Compute how many chose styles other than Rock:
Other than Rock = Total in age group − Rock fans.
= 33 − 12 = 21.

Step 5 — Apply the percentage formula:
Percentage (other than Rock) = (21 ÷ 33) × 100.

Step 6 — Perform the calculation step-by-step:
21 ÷ 33 ≈ 0.63636… (a repeating decimal).
Multiply by 100 → 0.63636 × 100 ≈ 63.636…%

Step 7 — Round to the nearest whole percentage:
63.636…% ≈ 64%.

Step 8 — Interpret the result in words:
In the 21–30 age group, 12 people liked Rock while 21 people liked some other style (Classical, Pop, Jazz, Blues, Hip-Hop, Ambient). This means about two-thirds of this age group preferred something other than Rock. In percentage form, this is 64%.

Final Answer: 64% (Option A).

Answer 3

Step 1 — Clarify the task:
We are asked to find the percentage of the entire sample of respondents (all age groups combined) who indicated Jazz as their favourite style of music.

Step 2 — Recall the grand total of respondents:
From the bottom row of the table:
15–20 total = 33,
21–30 total = 33,
31+ total = 68.
Grand total = 33 + 33 + 68 = 134.
So, total sample size = 134 respondents.

Step 3 — Count the Jazz fans in all age groups:
From the “Jazz” row:
• Age 15–20 → 1
• Age 21–30 → 4
• Age 31+ → 11
Add them up: 1 + 4 + 11 = 16.
So, total Jazz fans = 16 respondents.

Step 4 — Set up the percentage formula:
Percentage = (Number of Jazz fans ÷ Total sample) × 100.
= (16 ÷ 134) × 100.

Step 5 — Compute step-by-step:
16 ÷ 134 ≈ 0.1194 (approx).
Multiply by 100 → 0.1194 × 100 = 11.94%.

Step 6 — Round to the nearest whole percentage:
11.94% ≈ 12%.

Step 7 — Interpret in words:
Out of 134 total respondents across all age groups, 16 people chose Jazz as their favourite style. This corresponds to about 12% of the total sample, meaning roughly 1 in every 8 respondents prefer Jazz.

Final Answer: 12% (Option D).