To determine the point relative frequency of students who do not like running and enjoy swimming, let's break down the process:
Step 1: Identify the relevant numbers from the table.
We need the number of students who do not like running and enjoy swimming, which is 46. The total number of students surveyed is 200.
Step 2: Calculate the point relative frequency.
The point relative frequency is given by the formula:
[tex]\[ \text{Point Relative Frequency} = \left( \frac{\text{Number of specific group}}{\text{Total number of students}} \right) \times 100 \][/tex]
Substitute the identified values into the formula:
[tex]\[ \text{Point Relative Frequency} = \left( \frac{46}{200} \right) \times 100 \][/tex]
Step 3: Simplify the calculation.
First, divide 46 by 200:
[tex]\[ \frac{46}{200} = 0.23 \][/tex]
Next, multiply by 100 to get the percentage:
[tex]\[ 0.23 \times 100 = 23\% \][/tex]
Therefore, the point relative frequency of students who do not like running and enjoy swimming is [tex]\( 23\% \)[/tex].
