To find the joint relative frequency of students who do not like to run but enjoy cycling, we will follow these steps:
1. Identify the relevant data from the table: According to the table, the number of students who do not like running but enjoy cycling is 64. The total number of students surveyed is 200.
2. Calculate the joint relative frequency:
The joint relative frequency is found by dividing the number of students who fit both criteria by the total number of students surveyed and then converting this ratio to a percentage.
[tex]\[
\text{Joint Relative Frequency} = \left(\frac{\text{Number of students who do not like running and enjoy cycling}}{\text{Total number of students}}\right) \times 100
\][/tex]
Substituting the values from the table:
[tex]\[
\text{Joint Relative Frequency} = \left(\frac{64}{200}\right) \times 100
\][/tex]
3. Perform the division and multiplication:
[tex]\[
\frac{64}{200} = 0.32
\][/tex]
[tex]\[
0.32 \times 100 = 32
\][/tex]
So, the joint relative frequency of students who do not like running but enjoy cycling is [tex]\( 32\% \)[/tex].
This means the correct answer is:
[tex]$32 \%$[/tex]
