Answer :
Certainly! Let's work through the question together step-by-step.
We need to determine what the sample variance, [tex]\( s^2 \)[/tex], represents in terms of the employees' salaries.
1. Understand the Concept of Sample Variance:
- A sample variance is a measure of the spread or dispersion of a set of data points in a sample. It represents how much the salaries of the employees in the sample vary from the mean salary of that sample.
2. Identify the Sample Size:
- In this scenario, a sample of 66 employees is taken from a population of 820 employees.
3. Determine What the Variance Represents:
- Since the sample is comprised of 66 employees, the sample variance ([tex]\( s^2 \)[/tex]) reflects the variance based on the salaries of these 66 employees. It captures the variability among these 66 salaries, not the entire population of 820 employees.
Therefore, the correct answer is that the sample variance ([tex]\( s^2 \)[/tex]) is the variance of the 66 employees' salaries.
The answer is:
A. 66
We need to determine what the sample variance, [tex]\( s^2 \)[/tex], represents in terms of the employees' salaries.
1. Understand the Concept of Sample Variance:
- A sample variance is a measure of the spread or dispersion of a set of data points in a sample. It represents how much the salaries of the employees in the sample vary from the mean salary of that sample.
2. Identify the Sample Size:
- In this scenario, a sample of 66 employees is taken from a population of 820 employees.
3. Determine What the Variance Represents:
- Since the sample is comprised of 66 employees, the sample variance ([tex]\( s^2 \)[/tex]) reflects the variance based on the salaries of these 66 employees. It captures the variability among these 66 salaries, not the entire population of 820 employees.
Therefore, the correct answer is that the sample variance ([tex]\( s^2 \)[/tex]) is the variance of the 66 employees' salaries.
The answer is:
A. 66
