To find the relative frequency of students with green eyes among those with blond hair, we follow these steps:
1. Identify the number of students with blond hair and green eyes:
From the table, we see that the number of students with blond hair and green eyes is [tex]\(21\)[/tex].
2. Identify the total number of students with blond hair:
From the table, we also see that the total number of students with blond hair is [tex]\(78\)[/tex].
3. Calculate the relative frequency:
The relative frequency is calculated by dividing the number of students with blond hair and green eyes by the total number of students with blond hair. Mathematically, this is given by:
[tex]\[
\text{Relative Frequency} = \frac{\text{Number of students with blond hair and green eyes}}{\text{Total number of students with blond hair}}
\][/tex]
Substituting in the numbers from our table:
[tex]\[
\text{Relative Frequency} = \frac{21}{78}
\][/tex]
4. Simplify the fraction:
When you divide [tex]\(21\)[/tex] by [tex]\(78\)[/tex], you get approximately:
[tex]\[
\frac{21}{78} \approx 0.2692307692307692
\][/tex]
Thus, the approximate value of the relative frequency is [tex]\(0.27\)[/tex].
Therefore, the correct answer is:
D. [tex]\(0.27\)[/tex]
