Answer :
To find the percentage of respondents from the 46-55 age group who rated the film as excellent, we should follow these steps:
1. Determine the Total Number of Respondents in the 46-55 Age Group:
Add up the numbers provided for this age group across all rating categories. We can see the ratings in the table:
- Excellent: 25
- Good: 17
- Average: 22
- Poor: 8
Therefore, the total number of respondents in this age group is:
[tex]\[
25 + 17 + 22 + 8 = 72
\][/tex]
2. Identify the Number of Respondents Who Rated the Film as Excellent:
From the table, we see that in the 46-55 age group, 25 people rated the film as excellent.
3. Calculate the Percentage:
To find the percentage of respondents who rated the film as excellent, use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of Excellent Ratings}}{\text{Total in Age Group}}\right) \times 100
\][/tex]
Substituting the known values:
[tex]\[
\text{Percentage} = \left(\frac{25}{72}\right) \times 100 \approx 34.72\%
\][/tex]
Thus, the percentage of respondents from the 46-55 age group who rated the film as excellent is approximately 34.72%.
1. Determine the Total Number of Respondents in the 46-55 Age Group:
Add up the numbers provided for this age group across all rating categories. We can see the ratings in the table:
- Excellent: 25
- Good: 17
- Average: 22
- Poor: 8
Therefore, the total number of respondents in this age group is:
[tex]\[
25 + 17 + 22 + 8 = 72
\][/tex]
2. Identify the Number of Respondents Who Rated the Film as Excellent:
From the table, we see that in the 46-55 age group, 25 people rated the film as excellent.
3. Calculate the Percentage:
To find the percentage of respondents who rated the film as excellent, use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of Excellent Ratings}}{\text{Total in Age Group}}\right) \times 100
\][/tex]
Substituting the known values:
[tex]\[
\text{Percentage} = \left(\frac{25}{72}\right) \times 100 \approx 34.72\%
\][/tex]
Thus, the percentage of respondents from the 46-55 age group who rated the film as excellent is approximately 34.72%.