Which of the following sample sizes for a large number of samples taken from a population will most likely result in the standard deviation of the sample means being the largest? a. 75 b. 125 c. 150 d. 100

The more information focuses you have the more the information goes toward a pattern thus they differ substantially less, and since the meaning of the standard deviation is the square foundation of the difference. Moreover, more information focuses and every one has less and less effect on the difference/StDev. 

Therefore, the correct answer is A.