A school district wants to statistically summarize the student-to-teacher ratios for the schools in he district. The district offices keep data on student enrollment and faculty size data for all of the schools in the district.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Understanding When to Use Sample or Population Standard Deviation**

**Scenario:**
A school district wants to statistically summarize the student-to-teacher ratios for the schools in the district. The district offices keep data on student enrollment and faculty size data for all of the schools in the district.

**Question:**
Would it be more appropriate to use a sample standard deviation or population standard deviation in this situation?

**Select the correct answer below:**
- ⃝ Sample standard deviation
- ⃝ Population standard deviation (selected)

**Explanation:**
In this scenario, the entire population of interest is all the schools within the district. Since the district has complete data for all these schools, you would use the population standard deviation to summarize the data accurately.

This approach provides a precise measure of variability within the full set of student-to-teacher ratios across all schools in the district. By using the population standard deviation, you ensure that the statistical summary reflects the entire dataset, rather than an estimate based on a subset.
Transcribed Image Text:**Understanding When to Use Sample or Population Standard Deviation** **Scenario:** A school district wants to statistically summarize the student-to-teacher ratios for the schools in the district. The district offices keep data on student enrollment and faculty size data for all of the schools in the district. **Question:** Would it be more appropriate to use a sample standard deviation or population standard deviation in this situation? **Select the correct answer below:** - ⃝ Sample standard deviation - ⃝ Population standard deviation (selected) **Explanation:** In this scenario, the entire population of interest is all the schools within the district. Since the district has complete data for all these schools, you would use the population standard deviation to summarize the data accurately. This approach provides a precise measure of variability within the full set of student-to-teacher ratios across all schools in the district. By using the population standard deviation, you ensure that the statistical summary reflects the entire dataset, rather than an estimate based on a subset.
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