To determine the relative frequency of boys with brown hair based on the provided table, follow these steps:
1. Identify the number of boys with brown hair:
[tex]\[
\text{Boys with brown hair} = 53
\][/tex]
2. Find the total number of boys:
[tex]\[
\text{Total boys} = 142
\][/tex]
3. Calculate the relative frequency of boys with brown hair by dividing the number of boys with brown hair by the total number of boys:
[tex]\[
\text{Relative frequency} = \frac{\text{Boys with brown hair}}{\text{Total boys}} = \frac{53}{142}
\][/tex]
4. The result of this division is approximately:
[tex]\[
\frac{53}{142} \approx 0.3732
\][/tex]
5. Compare this calculated relative frequency to the given options:
[tex]\[
\text{A. } 0.17, \quad \text{B. } 0.23, \quad \text{C. } 0.28, \quad \text{D. } 53
\][/tex]
6. The closest match to approximately 0.3732 in the given options is:
[tex]\[
\text{C. } 0.28
\][/tex]
Therefore, the relative frequency of boys with brown hair is closest to option C, which is 0.28.
