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Answer :
To find the percentage of respondents from the 46–55 age group who rated the film excellent, follow these steps:
1. Identify the number of respondents in the 46–55 age group who rated the film excellent. According to the data, this number is [tex]$$25.$$[/tex]
2. Identify the total number of respondents in the 46–55 age group. The table shows that this total is [tex]$$76.$$[/tex]
3. Compute the percentage by dividing the number who rated excellent by the total and then multiplying by 100:
[tex]$$
\text{Percentage} = \left(\frac{25}{76}\right) \times 100.
$$[/tex]
4. Evaluating the fraction gives approximately:
[tex]$$
\frac{25}{76} \approx 0.3289473684,
$$[/tex]
and multiplying by 100 yields:
[tex]$$
0.3289473684 \times 100 \approx 32.8947368421.
$$[/tex]
Thus, the percentage of respondents from the 46–55 age group who rated the film excellent is approximately [tex]$$32.89\%\,. $$[/tex]
1. Identify the number of respondents in the 46–55 age group who rated the film excellent. According to the data, this number is [tex]$$25.$$[/tex]
2. Identify the total number of respondents in the 46–55 age group. The table shows that this total is [tex]$$76.$$[/tex]
3. Compute the percentage by dividing the number who rated excellent by the total and then multiplying by 100:
[tex]$$
\text{Percentage} = \left(\frac{25}{76}\right) \times 100.
$$[/tex]
4. Evaluating the fraction gives approximately:
[tex]$$
\frac{25}{76} \approx 0.3289473684,
$$[/tex]
and multiplying by 100 yields:
[tex]$$
0.3289473684 \times 100 \approx 32.8947368421.
$$[/tex]
Thus, the percentage of respondents from the 46–55 age group who rated the film excellent is approximately [tex]$$32.89\%\,. $$[/tex]
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