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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 Total Number of Respondents from the 46-55 Age Group:
- From the table, you can see that there are 76 respondents in the 46-55 age group.
2. Identify the Number of Respondents Who Rated the Film "Excellent":
- In the 46-55 age group, 25 people rated the film as "excellent."
3. Calculate the Percentage:
- To find the percentage of the 46-55 age group that rated the film "excellent," use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of "Excellent" ratings}}{\text{Total number of respondents in age group}}\right) \times 100
\][/tex]
- Substituting the values we have:
[tex]\[
\text{Percentage} = \left(\frac{25}{76}\right) \times 100
\][/tex]
4. Calculate the Final Result:
- Perform the division and then multiply by 100 to get the percentage:
[tex]\[
\frac{25}{76} \approx 0.328947368
\][/tex]
- Multiplying by 100 gives approximately 32.89.
Therefore, the percentage of respondents from the 46-55 age group who rated the film "excellent" is about 32.89%.
1. Identify the Total Number of Respondents from the 46-55 Age Group:
- From the table, you can see that there are 76 respondents in the 46-55 age group.
2. Identify the Number of Respondents Who Rated the Film "Excellent":
- In the 46-55 age group, 25 people rated the film as "excellent."
3. Calculate the Percentage:
- To find the percentage of the 46-55 age group that rated the film "excellent," use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of "Excellent" ratings}}{\text{Total number of respondents in age group}}\right) \times 100
\][/tex]
- Substituting the values we have:
[tex]\[
\text{Percentage} = \left(\frac{25}{76}\right) \times 100
\][/tex]
4. Calculate the Final Result:
- Perform the division and then multiply by 100 to get the percentage:
[tex]\[
\frac{25}{76} \approx 0.328947368
\][/tex]
- Multiplying by 100 gives approximately 32.89.
Therefore, the percentage of respondents from the 46-55 age group who rated the film "excellent" is about 32.89%.
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