To determine the relative frequency of students with red hair among those with gray eyes, we need to follow these steps:
1. Identify the total number of students with gray eyes: From the table, we can see that there are 35 students with gray eyes.
2. Identify the number of students with gray eyes and red hair: Also from the table, we can see that there are 22 students who have both gray eyes and red hair.
3. Calculate the relative frequency: The relative frequency is the ratio of the number of students with gray eyes and red hair to the total number of students with gray eyes. This can be calculated using the formula:
[tex]\[
\text{Relative Frequency} = \frac{\text{Number of students with gray eyes and red hair}}{\text{Total number of students with gray eyes}}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Relative Frequency} = \frac{22}{35}
\][/tex]
4. Compute the relative frequency: Performing the division gives us:
[tex]\[
\frac{22}{35} \approx 0.6285714285714286
\][/tex]
Thus, the relative frequency of students with red hair among those with gray eyes is approximately 0.6286, or in percentage terms, approximately 62.86%.
