(a) Which of the following must be true about the Watson family's income? About 93% of the families in their county earn less than the Watson family. The Watson family earns about 93% of the highest income in their county. O The Watson family's income is in the bottom half of incomes in their county. The Watson family earns $93,000. (b) Which of the following must be true about the Watson family's and the Baker family's incomes? Both the Watson family and the Baker family earn more than the median income. Both the Watson family and the Baker family earn less than the median income. The Watson family earns more than the Baker family. The Baker family earns more than the Watson family. X

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**Title: Understanding Income Distribution in a County**

Government agencies keep data about the income distribution of the population. The Watson family and Baker family live in a county with 9,000 families. The Watson family’s income is at the 93rd percentile. The Baker family’s income is at the 44th percentile.

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**Question (a):** Which of the following must be true about the Watson family's income?

- **☑ About 93% of the families in their county earn less than the Watson family.**
- ☐ The Watson family earns about 93% of the highest income in their county.
- ☐ The Watson family’s income is in the bottom half of incomes in their county.
- ☐ The Watson family earns $93,000.

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**Question (b):** Which of the following must be true about the Watson family's and the Baker family's incomes?

- ☐ Both the Watson family and the Baker family earn more than the median income.
- ☐ Both the Watson family and the Baker family earn less than the median income.
- ☐ The Watson family earns more than the Baker family.
- ☐ The Baker family earns more than the Watson family.

---

**Explanation:** 

For Question (a), the correct answer is that about 93% of the families in the county earn less than the Watson family, as their income is at the 93rd percentile. This means they earn more than 93% of the county's families.

For Question (b), the answer is that the Watson family earns more than the Baker family, since being in the 93rd percentile indicates a higher income than the 44th percentile.
Transcribed Image Text:**Title: Understanding Income Distribution in a County** Government agencies keep data about the income distribution of the population. The Watson family and Baker family live in a county with 9,000 families. The Watson family’s income is at the 93rd percentile. The Baker family’s income is at the 44th percentile. --- **Question (a):** Which of the following must be true about the Watson family's income? - **☑ About 93% of the families in their county earn less than the Watson family.** - ☐ The Watson family earns about 93% of the highest income in their county. - ☐ The Watson family’s income is in the bottom half of incomes in their county. - ☐ The Watson family earns $93,000. --- **Question (b):** Which of the following must be true about the Watson family's and the Baker family's incomes? - ☐ Both the Watson family and the Baker family earn more than the median income. - ☐ Both the Watson family and the Baker family earn less than the median income. - ☐ The Watson family earns more than the Baker family. - ☐ The Baker family earns more than the Watson family. --- **Explanation:** For Question (a), the correct answer is that about 93% of the families in the county earn less than the Watson family, as their income is at the 93rd percentile. This means they earn more than 93% of the county's families. For Question (b), the answer is that the Watson family earns more than the Baker family, since being in the 93rd percentile indicates a higher income than the 44th percentile.
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