Question

Does sample size matter when calculating a weighted average?

A. Yes, sample size has a significant impact on the weighted average.
B. No, sample size has no effect on the weighted average.
C. Sample size only affects the simple average, not the weighted average.
D. Sample size matters for both the weighted and simple averages.

Answer 1

It’s A. Yes, sample size has a significant impact on the weighted average.

Answer 2

Yes, sample size has a significant impact on the weighted average.

Step-by-step explanation:

A. Yes, sample size has a significant impact on the weighted average.

The sample size does matter when calculating a weighted average. In a weighted average, each data point is assigned a weight based on its importance or significance. The sample size affects the accuracy and reliability of the weighted average because a larger sample size reduces sampling variability and leads to a more representative and reliable statistic.

For example, if you are calculating the weighted average of student test scores in a class, a larger sample size would provide a more accurate representation of the overall performance of the class.