Three different samples were drawn from a population. The mean of variable AGE for the three samples was found to be 24, 27, and 21, respectively. What is the sampling variation in AGE?
A) 3.0
B) 8.0
C) 9.0
D) 1.5

Question

Quizplus · Accepted Answer

The sampling variation refers to the variability or spread of sample means around the overall mean of these samples. To calculate it, first, find the mean of the sample means: (24 + 27 + 21) / 3 = 24. Then, calculate the deviations of each sample mean from this overall mean, square these deviations, sum them, and divide by the number of samples to find the variance. Finally, take the square root of the variance to find the standard deviation, which represents the sampling variation. However, the provided options suggest a misunderstanding of the term "sampling variation" as they do not align with the standard calculation method for either variance or standard deviation. The correct approach to find the sampling variation involves calculating the standard deviation of the sample means, but none of the provided options accurately reflect this calculation based on standard statistical formulas. Given the context and typical usage, none of the options directly correspond to the correct calculation of sampling variation as traditionally defined in statistics.

Three Different Samples Were Drawn from a Population