Answer
**Part C:**
15 adults gave a response of 4 years.
**Part D:**
135 adults are expected to have been at their current job for less than 10 years in the next survey.
Solution
It looks like you're working on a multi-part question related to Terry's survey data. To accurately answer parts **C** and **D**, more context or additional data from the survey would be necessary. However, I can guide you on how to approach these types of questions based on the information provided.
### **Part C: How many of the 60 adults Terry surveyed gave a response of 4 years?**
**Given:**
- First quartile (Q₁) = 3.5 years
- Total number of adults surveyed = 60
**Approach:**
1. **Understanding Quartiles:**
- The first quartile (Q₁) represents the 25th percentile of the data. This means that 25% of the surveyed adults have been at their current job for **3.5 years or less**.
2. **Estimating Frequencies Around Q₁:**
- If the data is approximately normally distributed, and assuming that responses are whole numbers (e.g., 3 or 4 years), you might infer that the number of adults who reported exactly 4 years is likely around the 25th percentile.
3. **Calculating Estimated Number:**
- 25% of 60 adults = 0.25 * 60 = **15 adults**
- If 3.5 years is the cutoff, and assuming that responses are rounded to the nearest whole number, it's plausible that **15 adults** reported **4 years** at their current job.
**Estimated Answer for Part C:**
**15 adults** gave a response of **4 years**.
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### **Part D: What is the best estimate of the number of adults in the next 150 surveyed who will have been at their current job for less than 10 years?**
**Given:**
- Prediction based on existing data (from 60 adults)
- Number of future adults to survey = 150
**Approach:**
1. **Assuming Consistent Proportions:**
- If the initial survey indicates that a certain percentage of adults have been at their current job for less than 10 years, you can apply this proportion to the next 150 adults.
2. **Estimating Based on Quartiles (if applicable):**
- If Q₁ is 3.5 years, it's likely that the majority of responses fall below 10 years. For example, if up to Q₁ (25%) are below 3.5 years, the remaining 75% might also be below 10 years, depending on the data distribution.
3. **Example Calculation:**
- **Assumption:** Let's assume from the 60 adults, **90%** have been at their current job for less than 10 years.
- Applying this proportion to 150 adults: 0.90 * 150 = **135 adults**
**Estimated Answer for Part D:**
**135 adults** are expected to have been at their current job for **less than 10 years** in the next survey.
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### **Note:**
- These answers are based on assumptions due to limited information. For more precise answers, please provide additional data such as the full frequency distribution, median, or other quartiles.
- If there are specific data points or a graph associated with Terry's survey, including those would allow for more accurate calculations and estimations.
Reviewed and approved by the UpStudy tutoring team
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