Question

Melissa collected data from a group of people regarding whether or not they prefer turkey or ham and whether or not they prefer mayonnaise or mustard on their sandwiches.

The two-way table below displays the relative frequencies of the data.

Turkey Ham Total
Mayonnaise 0.38 0.24 0.62
Mustard 0.20 0.18 0.38
Total 0.58 0.42 1.00

Based on the relative frequencies of the table, which two-way table is a possible representation of the data collected?


W.
X.

Y.
Z.

X
W
Y
Z

Answer 1

@phi

Answer 2

W.
https://app107.studyisland.com/pics/159745q16sandwich23.png

Answer 3

X.
https://app107.studyisland.com/pics/159745q16sandwich24.png

Answer 4

Y.
https://app107.studyisland.com/pics/159745q16sandwich21.png

Answer 5

Z.
https://app107.studyisland.com/pics/159745q16sandwich22.png

Answer 6

Which One?

Answer 7

Start with your table:
Turkey Ham Total
Mayonnaise 0.38 0.24 0.62
Mustard 0.20 0.18 0.38
Total 0.58 0.42 1.00

which entry is easiest to figure out ? (of the 4 boxes (not the totals) )?

Answer 8

Mustard @phi

Answer 9

yes, mustard is 0.2 or 20/100 or 1/5
I would add up each choice, and see if the mustard box is exactly 1/5 of the total
hopefully only one choice works. But that would be my first step.

Answer 10

How do i do that?

Answer 11

For choice X, what do the 4 boxes add up to ?

Answer 12

It's better to go in order , and first test W, but it does not matter.
Can you add up the 4 numbers in choice X (then we can go back and check W) ?