Lesson 8. Discussion: Understanding the Central Limit Theorem Introduction In order to better understand the Central Limit Theorem and the process of averaging larger and larger sample sizes, perform the following experiment: CL. Take one die and roll it 30 times, making a histogram ofthe outcomes. 2. Take two dice and roll them 30 times. This time, however, make a histogram of the average of the two dice. For example, if you roll a 2 and a 5, you would record the outcome 3.5. 3. Take 5 dice and roll them 30 times. Again, make a histogram of the average ofthe 5 dice. NOTE! It may help [and be more fun) if you involve family members or friends. Initial Post Write two to three paragraphs in which you discuss your three distributions, commenting on the appearance of the histograms at each stage. Briey describe the difference between a question asking about a data value from an individual in the population and a question asking about a mean value for a group or sample drawn from the population. Vou should now have a better idea ofwhat the Central Limit Theorem is saying. Formulate your personal answer to the assignment and post your answer to the Lesson 8 discussion area. When you make your initial post, use a suitable subject line; avoid noninformative subject lines such as "My Answer." Also, please post your written answer directly into the discussion window. If you prefer to compose your answer using a word processor, please copy the text and paste it into the message window