Answer :
To determine the joint relative frequency for mall visitors who like both seafood and meat, we need to follow these steps:
1. Identify the joint frequency: This is the value in the cell corresponding to people who like both seafood and meat. According to the table, this value is 16.
2. Identify the total number of survey participants: This is the value in the cell at the bottom right of the table, which sums up all the survey responses. According to the table, the total number of participants is 72.
3. Calculate the joint relative frequency: The joint relative frequency is obtained by dividing the joint frequency by the total number of participants. Therefore, it is calculated as:
[tex]\[ \text{Joint Relative Frequency} = \frac{\text{Joint Frequency}}{\text{Total Number of Participants}} = \frac{16}{72} \][/tex]
Hence, the joint relative frequency for mall visitors who like both seafood and meat is \(\frac{16}{72}\), which is approximately 0.2222.
Therefore, the correct answer is:
[tex]\[ \frac{16}{72} \][/tex]
1. Identify the joint frequency: This is the value in the cell corresponding to people who like both seafood and meat. According to the table, this value is 16.
2. Identify the total number of survey participants: This is the value in the cell at the bottom right of the table, which sums up all the survey responses. According to the table, the total number of participants is 72.
3. Calculate the joint relative frequency: The joint relative frequency is obtained by dividing the joint frequency by the total number of participants. Therefore, it is calculated as:
[tex]\[ \text{Joint Relative Frequency} = \frac{\text{Joint Frequency}}{\text{Total Number of Participants}} = \frac{16}{72} \][/tex]
Hence, the joint relative frequency for mall visitors who like both seafood and meat is \(\frac{16}{72}\), which is approximately 0.2222.
Therefore, the correct answer is:
[tex]\[ \frac{16}{72} \][/tex]
