Standard deviation and sample size

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low, or small, standard deviation indicates data are clustered tightly around the mean, and high, or large, standard deviation indicates data are more spread out. Cholesterol levels are measured on a random sample of 1,000 persons, and the sample standard deviation is calculated. Suppose a second survey were repeated in the same population, but the sample size tripled to 3,000. Then which of the following is true? А) The new sample standard deviation would tend to be smaller than the first and approximately about one-third the size. В) The new sample standard deviation would tend to be larger than the first and approximately about three times the size. С) The new sample standard deviation would tend to be larger than the first, but we cannot approximate by how much. D) None of the above is true because there is no reason to believe one standard deviation would tend to be larger than the other.