Final answer:
The standard error of the mean is represented by the standard deviation of the means(Option D)
Step-by-step explanation:
The metric characterizing the standard error of the mean is represented by the standard deviation of the means, denoted as option D. The Central Limit Theorem posits that with a sample size adequately large, the distribution of sample means approximates normality.
This theorem underscores the critical role of the standard error of the mean in quantifying the variability inherent in sample means. By elucidating the convergence to a normal distribution for sufficiently large samples, the theorem emphasizes the utility of the standard error of the mean in statistical analysis, offering insights into the precision of sample means as estimators for population parameters.