Question

how do you construct a distribution of sample means?
collect all possible random samples of the same size from the population, calculate the mean of each sample,
and plot these means to form the distribution
collect one large sample from the population, calculate its mean, and use this single mean to represent the
distribution
collect multiple samples of different sizes from the population, calculate the mean of each sample, and plot
these means to form the distribution
collect multiple samples of the same size from the population, calculate the median of each sample, and plot
these medians to form the distribution

Explanation:

A distribution of sample means is constructed by taking all possible random samples of the same size from a population, computing the mean of each sample, and then plotting these means. This is in line with the concept of the sampling distribution of the sample mean. Option B uses a single mean, which is not a distribution. Option C has different - sized samples, and the sampling distribution of the sample mean is based on samples of the same size. Option D calculates medians instead of means.

Answer:

A. Collect all possible random samples of the same size from the population, calculate the mean of each sample, and plot these means to form the distribution