To determine the probability that a randomly selected girl will have above-average grades, we first need to consider the relevant data provided in the table.
The steps to solve this problem are as follows:
1. Identify the total number of girls.
2. Identify the number of girls who have above-average grades.
3. Calculate the probability by dividing the number of girls with above-average grades by the total number of girls.
Let's break down each step:
1. Total number of girls: According to the table, the total number of girls is 38.
2. Number of girls with above-average grades: The table indicates that there are 22 girls with above-average grades.
3. Calculate the probability:
- The probability is calculated using the formula:
[tex]\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\][/tex]
- Here, the number of favorable outcomes is the number of girls with above-average grades (22), and the total number of possible outcomes is the total number of girls (38).
Thus, the probability [tex]\(P\)[/tex] is:
[tex]\[
P = \frac{22}{38}
\][/tex]
After calculating this fraction, we get approximately 0.57895. When rounded to two decimal places, it is approximately 0.58.
Therefore, the correct answer is:
[tex]\[
\boxed{0.58}
\][/tex]
Which corresponds to option C.
