Question

question 6 of 10

a waitress kept track of whether her customers ordered an appetizer and dessert. her data are shown in a relative frequency table.

what does the 0.2 in the highlighted cell mean?

a. 20% of her customers ordered an appetizer.
b. 20% of the customers who ordered an appetizer did not order dessert.
c. 20% of her customers did not order dessert.
d. 20% of her customers ordered an appetizer but no dessert.

Explanation:

Identify the highlighted cell and its categories

The highlighted cell contains the value \(0.2\), which corresponds to the intersection of the column "Appetizer" and the row "No dessert".

Interpret the relative frequency value

The table shows relative frequencies based on the grand total of \(1.0\). Therefore, \(0.2\) represents \(20\%\) of all her customers.

Match with the correct description

The value \(0.2\) represents the proportion of all customers who ordered an appetizer and did not order dessert. This matches option D.

Answer:

• A. 20% of her customers ordered an appetizer.
• B. 20% of the customers who ordered an appetizer did not order dessert.
• C. 20% of her customers did not order dessert.
• D. 20% of her customers ordered an appetizer but no dessert. (Correct answer)