To find the joint relative frequency of students who do not like to run but enjoy cycling, we need to use the following steps:
1. Identify the number of students who do not like to run but enjoy cycling from the table. This value is located in the row "Does not like running" and the column "Enjoys cycling". According to the table, this value is 64.
2. Determine the total number of students surveyed. This is given in the "Column totals" and "Row totals" parts of the table, which is 200.
3. Calculate the joint relative frequency by using the formula:
[tex]\[ \text{Joint Relative Frequency} = \left(\frac{\text{Number of students who do not like to run but enjoy cycling}}{\text{Total number of students}}\right) \times 100 \][/tex]
Using the values from the table:
[tex]\[ \text{Joint Relative Frequency} = \left(\frac{64}{200}\right) \times 100 \][/tex]
4. Perform the calculation:
[tex]\[ \text{Joint Relative Frequency} = \left( \frac{64}{200} \right) \times 100 = 32 \][/tex]
So, the joint relative frequency of students who do not like to run but enjoy cycling is:
[tex]\[ 32\% \][/tex]
Thus, the correct answer is:
32\%
