In order to better understand the Central Limit Theorem and the process of averaging larger and larger sample sizes, perform the following experiment:

1. Take one die and roll it 30 times, making a histogram of the 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 of the 5 dice.

It may help (and be more fun) if you involve family members or friends.

Part 1

1. Write two to three paragaphs in which you discuss your three distributions, commenting on the appearance of the histograms at each stage. (can provide a histogram)
2. Briefly 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.

You should now have a better idea what the Central Limit Theorem is saying.

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Solution: The downloadable solution consists of 4 pages, 344 words and 3 charts.
Deliverable: Word Document