True or false: when comparing two populations, the larger the standard deviation, the more dispersion the distribution has, provided that the variable of interest from the two populations has the same unit of measure. choose the correct answer below.
a. true, because the standard deviation is the difference between the third quartile and the first quartile. when the standard deviation is larger, there is more distance between the first and third quartiles, and therefore, more dispersion in the distribution.
b. true, because the standard deviation describes how far, on average, each observation is from the typical value. a larger standard deviation means that observations are more distant from the typical value, and therefore, more dispersed.
c. false, because the standard deviation measures the spread of the distribution, not the dispersion of the distribution.
d. false, because the larger the standard deviation