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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.

User Selkathguy
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1 Answer

4 votes

To determine which two-way table is a possible representation of the data collected, we need to compare the relative frequencies in the given table with the options W, X, Y, and Z.

Let's analyze each option:

Option W:

Turkey Ham Total

Mayonnaise 0.40 0.20 0.60

Mustard 0.18 0.22 0.40

Total 0.58 0.42 1.00

Comparing the relative frequencies in option W with the given table, we can see that the relative frequencies for "Turkey" and "Ham" are different, so option W is not a possible representation.

Option X:

Turkey Ham Total

Mayonnaise 0.34 0.28 0.62

Mustard 0.24 0.14 0.38

Total 0.58 0.42 1.00

Comparing the relative frequencies in option X with the given table, we can see that the relative frequencies for "Turkey" and "Ham" are different, so option X is not a possible representation.

Option Y:

Turkey Ham Total

Mayonnaise 0.38 0.24 0.62

Mustard 0.20 0.18 0.38

Total 0.58 0.42 1.00

Comparing the relative frequencies in option Y with the given table, we can see that the relative frequencies for "Turkey" and "Ham" match exactly, so option Y is a possible representation.

Option Z:

Turkey Ham Total

Mayonnaise 0.30 0.32 0.62

Mustard 0.28 0.10 0.38

Total 0.58 0.42 1.00

Comparing the relative frequencies in option Z with the given table, we can see that the relative frequencies for "Turkey" and "Ham" are different, so option Z is not a possible representation.

Therefore, the two-way table that is a possible representation of the data collected is:

Y.

Turkey Ham Total

Mayonnaise 0.38 0.24 0.62

Mustard 0.20 0.18 0.38

Total 0.58 0.42 1.00

User Christopher Miller
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