To determine the joint relative frequency for mall visitors who like both seafood and meat, we follow these steps:
1. Identify the number of people who like both seafood and meat.
According to the table, this value is 16.
2. Identify the total number of survey participants.
The total number of participants is given in the table as 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 participants.
[tex]\[
\text{Joint Relative Frequency} = \frac{\text{Number of people who like seafood and meat}}{\text{Total number of participants}}
\][/tex]
Substituting in the values:
[tex]\[
\text{Joint Relative Frequency} = \frac{16}{72}
\][/tex]
4. Simplify the fraction (if possible).
In this case, we can perform the division directly:
[tex]\[
\frac{16}{72} = 0.2222222222222222
\][/tex]
Therefore, the joint relative frequency for mall visitors who like both seafood and meat is [tex]\(0.2222222222222222\)[/tex] (approximately 0.22 or 22.22%).
