Sampling Distributions Describe How Statistics Vary The Sampling Distribution is the probability distribution of the sample statistic. Example 1 (Again): Hypothetical Population of Smokers . The sampling distribution for ( is presented below: Table: Frequency distribution of marks. Probability 0.0 1/6 0.5 2/3 1.0 1/6 This was computed by counting the number of times that @ = 0.0, 0 - 0.5, 0 - 1.0., and dividing by N=6. 290