Question

why will random samples from a given population not have the same mean?
sample means will vary because the data values selected for samples are not randomly chosen.
sample means will vary because for each sample the same data values are selected.
sample means will vary because the data values are randomly selected from different populations.
sample means will vary because the data values selected for each sample will be different.

Explanation:

Random sampling from a single population means each sample is a distinct subset of the population's data points. Since each random sample picks different individual values from the population, the calculated mean (which is the average of the sample values) will differ across samples. The other options are incorrect: samples are randomly chosen, they do not select the same values, and they come from the same population.

Answer:

D. Sample means will vary because the data values selected for each sample will be different.