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Answer :
Sure, let's work through the question step-by-step:
1. Understanding the Terms:
- Population: This refers to the entire group we are interested in. In this case, it's the 135 students.
- Sample: This is a smaller group drawn from the population. Here, it's the 26 students.
- Population Variance ([tex]\(\sigma^2\)[/tex]): This is a measure of how much the members of the entire population vary from the population mean. It uses data from all students in the population, which are 135 students in this scenario.
2. Analyzing the Question:
- We are asked to identify the variance, specifically the population variance ([tex]\(\sigma^2\)[/tex]).
- Since [tex]\(\sigma^2\)[/tex] represents the variance of the entire group (or population), it pertains to the heights of all 135 students.
- It does not represent the variance of just the 26 students, as a sample calculation would use the sample variance instead.
3. Conclusion:
- The population variance, [tex]\(\sigma^2\)[/tex], which in this context is specified, refers to the variance calculated from the entire group of 135 students.
Therefore, the correct choice is D. 135.
1. Understanding the Terms:
- Population: This refers to the entire group we are interested in. In this case, it's the 135 students.
- Sample: This is a smaller group drawn from the population. Here, it's the 26 students.
- Population Variance ([tex]\(\sigma^2\)[/tex]): This is a measure of how much the members of the entire population vary from the population mean. It uses data from all students in the population, which are 135 students in this scenario.
2. Analyzing the Question:
- We are asked to identify the variance, specifically the population variance ([tex]\(\sigma^2\)[/tex]).
- Since [tex]\(\sigma^2\)[/tex] represents the variance of the entire group (or population), it pertains to the heights of all 135 students.
- It does not represent the variance of just the 26 students, as a sample calculation would use the sample variance instead.
3. Conclusion:
- The population variance, [tex]\(\sigma^2\)[/tex], which in this context is specified, refers to the variance calculated from the entire group of 135 students.
Therefore, the correct choice is D. 135.
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