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Answer :
To find the percentage of respondents from the 46-55 age group who rated the film as excellent, we can follow these steps:
1. Identify the number of respondents in the 46-55 age group who rated the film as excellent. According to the table, there are 25 respondents.
2. Determine the total number of respondents from the 46-55 age group. The table shows that this total is 76.
3. Calculate the percentage by dividing the number of respondents who rated the film as excellent by the total number of respondents in the age group, and then multiplying by 100 to convert it to a percentage.
[tex]\[
\text{Percentage} = \left( \frac{25}{76} \right) \times 100
\][/tex]
4. Perform the division: [tex]\( \frac{25}{76} \approx 0.3289473684210527 \)[/tex].
5. Multiply by 100 to convert the proportion to a percentage:
[tex]\[
0.3289473684210527 \times 100 = 32.89
\][/tex]
Therefore, the percentage of respondents from the 46-55 age group who rated the film excellent is approximately 32.89%.
1. Identify the number of respondents in the 46-55 age group who rated the film as excellent. According to the table, there are 25 respondents.
2. Determine the total number of respondents from the 46-55 age group. The table shows that this total is 76.
3. Calculate the percentage by dividing the number of respondents who rated the film as excellent by the total number of respondents in the age group, and then multiplying by 100 to convert it to a percentage.
[tex]\[
\text{Percentage} = \left( \frac{25}{76} \right) \times 100
\][/tex]
4. Perform the division: [tex]\( \frac{25}{76} \approx 0.3289473684210527 \)[/tex].
5. Multiply by 100 to convert the proportion to a percentage:
[tex]\[
0.3289473684210527 \times 100 = 32.89
\][/tex]
Therefore, the percentage of respondents from the 46-55 age group who rated the film excellent is approximately 32.89%.
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