Take a look at Tables 1 and 2 in Stratified Random Sampling. Table 1 represents the population
where there are only 12 elements in the population. Table 2 represents all samples of sizes 2, 4, and 6 that
could have been drawn from the population. The mean for each sample was calculated and coded in the
average monthly income categories.
Note: The last two rows of numbers were not aligned correctly with row labels on the left: the three numbers of
66, 495, and 924 should be moved up one row to be aligned with “Number of Samples”. In other words, the
three numbers represent the number of all possible samples when sample sizes are 2, 4, and 6, respectively.
Questions:
Do you notice anything interesting about the tables?
Is there anything noteworthy about the mean?
Is there anything noteworthy when comparing the differences between smaller and larger sample size?
Sample Solution