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Answer :
When a question refers to the "population variance," it is discussing the variance calculated from an entire population. The term "population variance" specifically denotes the variance of all individuals in the group you're considering.
In this scenario, we have a total of 135 students, which represents the entire population of interest when talking about the students' heights.
Here is a step-by-step breakdown of the concept:
1. Population vs. Sample:
- A population includes every member from the specified group of interest. In this case, the 135 students represent the population.
- A sample is a subset of the population that is used to estimate characteristics of the overall population. The 26 students mentioned are a sample from the population of 135 students.
2. Variance:
- Population variance is a measure of the spread of all data points (in this context, students' heights) within the entire population. It is represented by the symbol [tex]\(\sigma^2\)[/tex].
- The variance calculated specifically from a sample of the population is called sample variance and is used to infer or estimate the variance of the population.
3. Context of the Question:
- The question is clearly asking about "population variance," which is referring to the entire group of students (all 135 students in this case).
Therefore, when we talk about the population variance, we are referring to the variance calculated for the entire group of 135 students. Thus, the correct choice is:
D. 135
In this scenario, we have a total of 135 students, which represents the entire population of interest when talking about the students' heights.
Here is a step-by-step breakdown of the concept:
1. Population vs. Sample:
- A population includes every member from the specified group of interest. In this case, the 135 students represent the population.
- A sample is a subset of the population that is used to estimate characteristics of the overall population. The 26 students mentioned are a sample from the population of 135 students.
2. Variance:
- Population variance is a measure of the spread of all data points (in this context, students' heights) within the entire population. It is represented by the symbol [tex]\(\sigma^2\)[/tex].
- The variance calculated specifically from a sample of the population is called sample variance and is used to infer or estimate the variance of the population.
3. Context of the Question:
- The question is clearly asking about "population variance," which is referring to the entire group of students (all 135 students in this case).
Therefore, when we talk about the population variance, we are referring to the variance calculated for the entire group of 135 students. Thus, the correct choice is:
D. 135
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