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: Identify joint frequency

The number of visitors who like both seafood and meat is 16, from the table cell at the intersection of "Seafood" row and "Meat" column.

Step2: Identify total number of visitors

The total number of mall visitors is 72, from the bottom-right cell of the table.

Step3: Calculate joint relative frequency

Joint relative frequency is the ratio of the joint frequency to the total number of observations.
$\text{Joint Relative Frequency} = \frac{\text{Joint Frequency}}{\text{Total Number of Visitors}} = \frac{16}{72}$

Answer:

$\boldsymbol{\frac{16}{72}}$ (corresponding to the second option)