To determine the percentage of viewers aged 16-25 who gave the movie a poor rating, we follow these steps:
1. Identify the total number of viewers in the 16-25 age group: The marginal total for the 16-25 age group, which is the sum of all ratings given, is 113.
2. Identify the number of viewers in the 16-25 age group who gave a poor rating: From the table, 7 viewers in the 16-25 age group rated the movie as poor.
3. Calculate the percentage: To find the percentage, divide the number of 16-25 viewers who rated the movie as poor by the total number of 16-25 viewers, and then multiply by 100 to convert it into a percentage.
[tex]\[
\text{Percentage of poor ratings} = \left( \frac{\text{Number of poor ratings}}{\text{Total number of viewers in 16-25 age group}} \right) \times 100
\][/tex]
Substituting the numbers we have:
[tex]\[
\text{Percentage of poor ratings} = \left( \frac{7}{113} \right) \times 100
\][/tex]
Evaluating this, we get approximately:
[tex]\[
\text{Percentage of poor ratings} \approx 6.19\%
\][/tex]
Thus, the correct answer is:
A. [tex]$6.19 \%$[/tex]
