Question

the two-way frequency table represents data from a survey asking mall visitors whether they like seafood, meat, or both.

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

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" and "Meat".

Step2: Identify total number of visitors

The total number of survey respondents is 72, from the bottom-right cell of the table.

Step3: Calculate joint relative frequency

Joint relative frequency is the ratio of joint frequency to 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)