How the Central Limit Theorem works A. Go to random.org to roll the dice. In your group do the following and record the results. You have 4 experiments to try. 1. roll 1 fair die 10 times, 2. roll 2 fair dice 10 times, 3. roll 5 fair dice 10 times, 4. roll 10 fair dice 10 times. B. Each time you roll more than one die, record or calculate the sample mean of the faces showing and make a chart showing the results. (Random.org can give this value as well!) For example, you might might roll 5 fair dice and get a 2, 2, 3, 4, 6 on one roll. The mean is 3.4. The 3.4 is one example of the mean when 5 fair dice are rolled. 2+2+3+4+5 5 For each roll, record the faces and find the mean. Round to the nearest 0.5. C. Create graphs or histograms of the raw data for each experiment: for 1 die, for 2 dice, for 5 dice, and for 10 dice. D. Now create 4 graphs or histograms of the means of these 4 scenarios. And answer the following questions: 1. Do the sample means show any pattern? 2. What can you conclude as you increase the number of dice? 3. What distribution do these means appear to be representing? 4. How do these distributions differ from the graphs or histograms you made of the raw data? Do the means or shape of the graphs change