Simulate Multiple Dice

Create a simulation of 500 rolls of two individual dice and then sum the two values for each roll.

Calculate the mean, standard deviation, median, 1st quartile, third quartile, skewness and kurtosis of the distribution

Determine the frequencies for the possible values 2 through 12

Make a historgram

Repeat for a simulation of three dice

Stats for three-dice simulation

Frequencies for three-dice simulation

Three-dice simulation histrogram

Skew and Kurt The skewness results for these distributions was close to zero for all three because these dice simulation distributions tend to be symmetric. The kurtosis results are negative but head toward zero as the number of dice increase.

As the number of dice in the simulation increases, we head toward a normal distribution with an excess kurtosis of zero.