Given the same population,the sampling distribution of the mean will show less variability than either the sampling distribution of the median or the sampling distribution of the mode.

Question

Quizplus · Accepted Answer

This statement is true. The sampling distribution of the mean will have less variability (i.e., a smaller standard deviation) than the sampling distributions of the median or the mode because the mean is a more stable measure of central tendency. This is due to the fact that the mean takes into account all the values in the data set, while the median and mode only reflect the central tendency of a portion of the data. The sampling distribution of the mean follows a normal distribution, while the sampling distributions of the median and mode do not necessarily have a specific distribution or shape.

Given the Same Population,the Sampling Distribution of the Mean Will