Question

	meat	not meat	total
seafood	16	31	47
not seafood	20	5	25
total	36	36	72

which is the joint relative frequency for mall visitors who like seafood and meat?
\\( \frac{5}{72} \\)
\\( \frac{16}{72} \\)
\\( \frac{20}{72} \\)
\\( \frac{31}{72} \\)

Explanation:

Step1: Recall Joint Relative Frequency Formula

Joint relative frequency for a category is the frequency of that category divided by the total number of observations. The formula is: \( \text{Joint Relative Frequency} = \frac{\text{Frequency of the category}}{\text{Total number of observations}} \)

Step2: Identify Values

From the table, the number of mall visitors who like seafood and meat is 16. The total number of mall visitors (total observations) is 72.

Step3: Calculate Joint Relative Frequency

Using the formula, we substitute the values: \( \frac{16}{72} \)

Answer:

\(\frac{16}{72}\) (corresponding to the option with \( \frac{16}{72} \))