Analyze User Comment Distribution and Sampling Effects

##### Scenario Analyzing distribution of user comment counts and the effect of sampling. ##### Question Sketch the distribution of individual users’ daily comment counts when it is right-skewed and mark mean, median, and 95th percentile positions. After randomly sampling many user groups and computing each group’s average comments, describe the resulting distribution and how the mean, median, and 95th percentile change. ##### Hints Invoke Central Limit Theorem; sample means trend toward normal, mean stays constant, higher percentiles shrink, median approaches mean.