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Answer :
To solve this problem, we need to understand what "population variance" refers to in the context of statistics.
1. Population vs. Sample:
- A population includes all members of a specified group. In this case, it is all 135 students.
- A sample is a subset selected from the population, which in this case includes 26 students.
2. Understanding Population Variance ([tex]\(\sigma^2\)[/tex]):
- Population variance, denoted as [tex]\(\sigma^2\)[/tex], is a measure of how data points in the entire population vary or deviate from the average (mean) of the population.
- It is an inherent property of the population as a whole and not affected by the characteristics of any sample taken from it.
3. Applying the Concept:
- Since the population variance [tex]\(\sigma^2\)[/tex] is calculated using the data from the entire population of 135 students, it reflects the variance in heights of the entire group, not just the sample.
4. Conclusion:
- The population variance [tex]\(\sigma^2\)[/tex] relates to the population size, which in this case is 135 students.
Therefore, the correct answer is D. 135.
1. Population vs. Sample:
- A population includes all members of a specified group. In this case, it is all 135 students.
- A sample is a subset selected from the population, which in this case includes 26 students.
2. Understanding Population Variance ([tex]\(\sigma^2\)[/tex]):
- Population variance, denoted as [tex]\(\sigma^2\)[/tex], is a measure of how data points in the entire population vary or deviate from the average (mean) of the population.
- It is an inherent property of the population as a whole and not affected by the characteristics of any sample taken from it.
3. Applying the Concept:
- Since the population variance [tex]\(\sigma^2\)[/tex] is calculated using the data from the entire population of 135 students, it reflects the variance in heights of the entire group, not just the sample.
4. Conclusion:
- The population variance [tex]\(\sigma^2\)[/tex] relates to the population size, which in this case is 135 students.
Therefore, the correct answer is D. 135.
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