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Answer :
To find 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, we see that 25 people in the [tex]$46-55$[/tex] age group rated the film as "excellent."
2. Determine the Total Number of Respondents Across All Age Groups:
The total number of respondents is given as 446.
3. Calculate the Percentage:
We need to find out what percentage 25 is of 446. This can be calculated using the formula for percentage:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of Excellent Ratings from $46-55$}}{\text{Total Number of Respondents}}\right) \times 100
\][/tex]
Plug in the numbers:
[tex]\[
\text{Percentage} = \left(\frac{25}{446}\right) \times 100
\][/tex]
4. Compute the Result:
When you perform this calculation, you'll get approximately 5.61%.
So, the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as "excellent" is 5.61%.
1. Identify the Number of Respondents from the [tex]$46-55$[/tex] age group who rated the film "Excellent":
From the table, we see that 25 people in the [tex]$46-55$[/tex] age group rated the film as "excellent."
2. Determine the Total Number of Respondents Across All Age Groups:
The total number of respondents is given as 446.
3. Calculate the Percentage:
We need to find out what percentage 25 is of 446. This can be calculated using the formula for percentage:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of Excellent Ratings from $46-55$}}{\text{Total Number of Respondents}}\right) \times 100
\][/tex]
Plug in the numbers:
[tex]\[
\text{Percentage} = \left(\frac{25}{446}\right) \times 100
\][/tex]
4. Compute the Result:
When you perform this calculation, you'll get approximately 5.61%.
So, the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as "excellent" is 5.61%.
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