text: which of these is correct?... sample means?? 1. imagine a histogram of the sample means of ideal weights from 1,000 dierent random samples of n=25 students. would the center and spread of the histogram of n=25 dier from the center and spread of the histogram for n=9? (a) for each sample size, the center of the distribution is dierent. for n = 25, there's more variation among the dierent sample means than when n = 9. (b) for each sample size, the distribution is centered at about the same point, which also is approximately the population mean. for n = 25, there's more variation among the dierent sample means than when n = 9. (c) for each sample size, the distribution is centered at about the same point, which also is approximately the population mean. for n = 25, there's less variation among the dierent sample means than when n = 9. (d) for each sample size, the center of the distribution is dierent. for n = 25, there's less variation among the dierent sample means than when n = 9. the expected value of the sample mean will remain constant no matter what the sample size is (and is equal to the population mean).  the variance of the sample mean will decrease as you poll more students.