To determine the value of [tex]\( y \)[/tex] in the relative frequency table, we need to calculate the relative frequency of the value corresponding to [tex]\( E \)[/tex] and [tex]\( G \)[/tex], and then express it as a percentage rounded to the nearest whole number.
Let's break it down step-by-step:
1. Identify the given data:
- The frequency of [tex]\( E \)[/tex] and [tex]\( G \)[/tex] is [tex]\( 12 \)[/tex].
- The total frequency of [tex]\( E \)[/tex] is [tex]\( 23 \)[/tex].
2. Calculate the relative frequency:
[tex]\[
\text{Relative frequency of } E \text{ and } G = \frac{\text{frequency of } E \text{ and } G}{\text{total frequency of } E} \times 100
\][/tex]
Plugging in the values:
[tex]\[
\text{Relative frequency of } E \text{ and } G = \frac{12}{23} \times 100
\][/tex]
3. Convert the fraction to a percentage:
[tex]\[
\frac{12}{23} \approx 0.5217391304347826
\][/tex]
Converting to a percentage:
[tex]\[
0.5217391304347826 \times 100 = 52.17391304347826\%
\][/tex]
4. Round the result:
When we round [tex]\( 52.17391304347826\% \)[/tex] to the nearest whole number, we get [tex]\( 52\% \)[/tex].
So, the value of [tex]\( y \)[/tex] in the relative frequency table is [tex]\( 52\% \)[/tex].
The correct answer is:
[tex]\[
\boxed{52\%}
\][/tex]
