The Central Limit Theorem can be demonstrated by taking sample mean distributions from a population that is not normally distributed.

Graph the probability distribution for rolling a six-sided die as a relative frequency histogram. Determine the mean and standard deviation for this distribution.

• Construct a relative frequency distribution for a sample mean distribution with sample size of 4 for rolling a six-sided die using 100 trials. Sketch this as a relative frequency histogram using the same horizontal and vertical scales as the relative frequency histogram for the population. This means using classes of1x<2,2x<3,
• 1x <2,2x <3,etc. This can be done using real dice rolls or simulations using random number generator