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The first quartile of Terry's data is 3.5 . C. How many of the 60 adults Terry surveyed gave a response of 4 years? number of adults: Terry used his data to make a prediction about the next 150 adults he will survey at the mall. 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? number of adults: ner

Ask by King Rojas. in the United States
Jan 24,2025

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**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.

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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**. --- ### **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. --- ### **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.

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To find out how many of the 60 adults responded with 4 years, we can look at the quartiles. The first quartile being 3.5 suggests that at least 25% of responses fall below this value. Since 4 years is just above this, it’s likely a relatively low number. Estimating from a typical distribution, it could be around 5-10 adults. For the next part, if Terry's prediction is based on the initial data, he can use the interquartile range and the 60 surveyed adults as a reference. Assuming trends hold, if roughly 30%-40% fall below 10 years, we can estimate that 45 to 60 adults in the next group of 150 might fall under this category.

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