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Answer :
To correctly find the marginal relative frequency for families traveling out of state, Sharon should calculate the ratio of families within a specific category who chose traveling out of state to the total number of families in that category.
The correct steps are as follows:
1. Identifying the Total for All Children 16 or Older:
- Focus on the category "All children 16 or older."
- The table shows that there are 82 families with all children 16 or older.
2. Identifying Families Traveling Out of State:
- Within this category, 45 families chose to travel out of state.
3. Calculating Marginal Relative Frequency:
- The marginal relative frequency is calculated by taking the ratio of the number of families traveling out of state to the total number of families with all children 16 or older.
- This is done by dividing 45 by 82.
4. Converting to Percentage:
- To express this ratio as a percentage, multiply the result by 100.
- So, [tex]\( \frac{45}{82} \times 100 = 54.88\% \)[/tex].
Therefore, the correct answer is that Sharon should have divided 45 by 82 to find that approximately 54.88% of families with all children 16 or older prefer traveling out of state.
The correct steps are as follows:
1. Identifying the Total for All Children 16 or Older:
- Focus on the category "All children 16 or older."
- The table shows that there are 82 families with all children 16 or older.
2. Identifying Families Traveling Out of State:
- Within this category, 45 families chose to travel out of state.
3. Calculating Marginal Relative Frequency:
- The marginal relative frequency is calculated by taking the ratio of the number of families traveling out of state to the total number of families with all children 16 or older.
- This is done by dividing 45 by 82.
4. Converting to Percentage:
- To express this ratio as a percentage, multiply the result by 100.
- So, [tex]\( \frac{45}{82} \times 100 = 54.88\% \)[/tex].
Therefore, the correct answer is that Sharon should have divided 45 by 82 to find that approximately 54.88% of families with all children 16 or older prefer traveling out of state.
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