In: Statistics and Probability
Is the standard deviation affected by a sample size increasing?
Solution-:
Yes, the standard deviation affrcted by a sample size increasing.
Therefore, as then sample size increases then, standard deviation of the means decreases; and as the sample size decreases then, standard deviation of the sample means increases.
As increases towords , the sample mean ( ) will approches to the population mean () and sample S.D. () closer to population S.D. ()