Chapter 10.6, Problem 24PPS

To determine

To calculate the percentage of joint data for ate everything and beef.

Answer to Problem 24PPS

  $29\%$

Explanation of Solution

Given information : Vegetarian meals $=24$ , leftovers $=18$

Chicken meals $=18$ , leftovers $=9$

Ordered beef $=30$ , No leftover $=21$

Formula used : A two-way relative frequency table: This is used to express the frequencies of data from the survey.

Calculation : For this two-way frequency table is to be needed.

Table as shown below:

	Vegetarian	Chicken	Beef	Total
Leftovers	18	9	9	36
No Leftovers	6	9	21	36
Total	24	18	30	72

For two-way relative frequency table divide each entry by $72$ and rounded to nearest percentage.

Two-way relative frequency table as shown below:

	Vegetarian	Chicken	Beef	Total
Leftovers	$18÷72=25\%$	$9÷72=13\%$	$9÷72=13\%$	$36÷72=50\%$
No Leftovers	$6÷72=8\%$	$9÷72=13\%$	$21÷72=29\%$	$36÷72=50\%$
Total	$24÷72=33\%$	$18÷72=25\%$	$30÷72=42\%$	$72÷72=100\%$

The percentage for the joint data for ate everything and beef is $29\%$