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Answer :
To determine the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent, follow these steps:
1. Identify the number of respondents from the [tex]$46-55$[/tex] age group who rated the film excellent:
From the table, the number of respondents in the [tex]$46-55$[/tex] age group who rated the film as excellent is 25.
2. Identify the total number of respondents who rated the film excellent:
The table shows that 180 respondents rated the film as excellent overall.
3. Calculate the percentage:
To find the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent, use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of excellent ratings from } 46-55 \text{ age group}}{\text{Total number of excellent ratings}}\right) \times 100
\][/tex]
Substituting the values:
[tex]\[
\text{Percentage} = \left(\frac{25}{180}\right) \times 100
\][/tex]
4. Result:
After calculating, the percentage is approximately 13.89%.
Therefore, the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent is 13.89%.
1. Identify the number of respondents from the [tex]$46-55$[/tex] age group who rated the film excellent:
From the table, the number of respondents in the [tex]$46-55$[/tex] age group who rated the film as excellent is 25.
2. Identify the total number of respondents who rated the film excellent:
The table shows that 180 respondents rated the film as excellent overall.
3. Calculate the percentage:
To find the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent, use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of excellent ratings from } 46-55 \text{ age group}}{\text{Total number of excellent ratings}}\right) \times 100
\][/tex]
Substituting the values:
[tex]\[
\text{Percentage} = \left(\frac{25}{180}\right) \times 100
\][/tex]
4. Result:
After calculating, the percentage is approximately 13.89%.
Therefore, the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent is 13.89%.
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