Question

A sample size increases, standard deviation about the mean

a. decreases
b. increases
c. stays the same
d. approaches standard deviation

Answer 1

The standard deviation of a sample decreases as the sample size increases.

Step-by-step explanation:

The standard deviation of a sample decreases as the sample size increases.

This is because a larger sample size provides more data points, which leads to a more accurate estimate of the population mean. As the sample size increases, the variability in the sample means decreases, resulting in a smaller standard deviation about the mean.