Study the given table and answer the question that follows.
The table below shows the number of people who responded to a survey about their favourite style of music.
| Style of Music | 25–30 | 31–50 | 51+ |
|---|---|---|---|
| Classical | 2 | 9 | 16 |
| Pop | 10 | 16 | 8 |
| Hip-Hop | 4 | 7 | 6 |
| Rock | 14 | 17 | 14 |
| Ambient | 7 | 13 | 20 |
| Total | 37 | 62 | 64 |
What percentage of respondents aged 31–50 indicated a favourite style other than POP music?
Correct Answer :
74.19%
Solution :
The correct answer is 74.19%.
To find the percentage of respondents aged 31–50 who preferred a music style other than Pop, we can follow these steps:
Step 1: Identify the total number of respondents aged 31–50.
From the table, look at the column labeled "31–50". The total number of respondents in this age group is shown in the "Total" row for that column:
Total respondents aged 31–50 = 62.
Step 2: Identify the number of respondents aged 31–50 who preferred Pop music.
Looking at the intersection of the "Pop" row and the "31–50" column:
Pop music respondents aged 31–50 = 16.
Step 3: Calculate the number of respondents aged 31–50 who preferred a style OTHER than Pop music.
Subtract the number of Pop respondents from the total number of respondents in that age group:
Other than Pop = Total respondents - Pop respondents
Other than Pop = 62 - 16 = 46.
Step 4: Calculate the percentage.
Divide the number of respondents who preferred other styles by the total number of respondents in the 31–50 age group, and multiply by 100:
Percentage = (46 / 62) * 100
Percentage ≈ 0.741935 * 100
Percentage ≈ 74.19%
Therefore, the percentage of respondents aged 31–50 whose favourite style was other than Pop music is approximately 74.19%.
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