The table shows vacation preferences of families with children under 16 and over 16:

| Vacation Type | Camping | Traveling Out of State | Activities in Local Area | Row Totals |
|--------------------------------|---------|------------------------|--------------------------|------------|
| At least one child under 16 | 22 | 12 | 36 | 70 |
| All children 16 or older | 17 | 45 | 20 | 82 |
| Column Totals | 39 | 57 | 56 | 152 |

Sharon mistakenly calculated the marginal relative frequency for traveling out of state to be 57 out of 100 or 57%. What should Sharon have done, and what is the correct answer?

A. She should have divided 57 by 152: 37.5%
B. She should have divided 12 by 57: 21%
C. She should have divided 45 by 57: 79%
D. She should have divided 45 by 82: 55%

Sharon should have divided 57 by 152 to calculate the marginal relative frequency for "Traveling out of state" correctly, resulting in approximately 37.5%. Option A

To calculate the marginal relative frequency for traveling out of state correctly, Sharon should have divided the number of families who chose "Traveling out of state" by the total number of families in the sample, not by the column total for "Traveling out of state" alone.

In the given table, the total number of families in the sample is given as 152 in the "Column totals" row. To find the correct marginal relative frequency for "Traveling out of state," Sharon should divide the number of families who chose "Traveling out of state" (which is 57) by the total number of families in the sample (which is 152).

So, the correct calculation would be:

Marginal Relative Frequency = Number of families choosing "Traveling out of state" / Total number of families in the sample

= 57 / 152

≈ 0.375

Converting to a percentage, the correct answer would be approximately 37.5%.

Option A

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