According to the table below, what is the relative frequency of boys with blonde hair?

[tex]\[
\begin{array}{c|c|c|c|c}
& \text{brown} & \text{red} & \text{blonde} & \text{total} \\
\text{boys} & 53 & 23 & 66 & 142 \\
\text{girls} & 88 & 34 & 54 & 176 \\
\text{total} & 141 & 57 & 120 & 318 \\
\end{array}
\][/tex]

A. 0.55
B. 0.46
C. 0.21
D. 66



Answer :

To determine the relative frequency of boys with blonde hair, we need to follow these steps:

1. Identify the number of boys with blonde hair. According to the table, this number is [tex]\( 66 \)[/tex].
2. Identify the total number of boys. The table shows that there are [tex]\( 142 \)[/tex] boys in total.

The formula for relative frequency is given by:
[tex]\[ \text{Relative frequency} = \frac{\text{Number of boys with blonde hair}}{\text{Total number of boys}} \][/tex]

3. Substitute the numbers we identified into the formula:
[tex]\[ \frac{66}{142} \approx 0.4647887323943662 \][/tex]

Thus, the relative frequency of boys with blonde hair is approximately [tex]\( 0.46 \)[/tex].

So, the correct answer is:

B. 0.46