# Statistics: Sample Size, Variance and Standard Dev

posted by
**Carma**
.

Sample Size, Variance and Standard Deviation

A student organization plans to ask 100 randomly selected students how much they spent

on textbooks last semester. You argue for a sample of 900 students instead of 100. You

know the standard deviation of the sample mean x of the amounts spent will differ. How

will the standard deviation of the larger sample compare with that of the smaller sample?