To determine the joint relative frequency for mall visitors who like both seafood and meat, we need to follow these steps:
1. Identify the number of people who like both seafood and meat.
According to the table, there are 16 people who like both seafood and meat.
2. Identify the total number of survey responses.
The table indicates that the total number of responses is 72.
3. Calculate the joint relative frequency.
The joint relative frequency is calculated by dividing the number of people who like both seafood and meat by the total number of responses:
[tex]\[
\text{Joint relative frequency} = \frac{\text{Number of people who like seafood and meat}}{\text{Total number of responses}}
\][/tex]
Substituting the known values:
[tex]\[
\text{Joint relative frequency} = \frac{16}{72}
\][/tex]
4. Simplify the fraction, if necessary.
In this case, \(\frac{16}{72}\) simplifies to \(\frac{4}{18}\), which further simplifies to \(\frac{2}{9}\).
Thus, the joint relative frequency for mall visitors who like both seafood and meat is \( \frac{16}{72} \).
So, the correct answer is [tex]\( \frac{16}{72} \)[/tex].
