Illustrating the law of large numbers

The law of large numbers states (informally) that as the number of independent observations drawn from a population with finite mean μ increases, the mean of those observed values approaches μ. This Demonstration illustrates that behavior by plotting the sample mean as a function of the current sample size n, for n=1 to n=100. Random samples can be drawn from a population of 0's and 1's (with any proportion of 1's), a normal population (with a range of μ and σ available), or from the (first 100,000) digits of π. The first 100 digits of π are available as a population, with samples of size n consisting of the first n digits, to allow for classroom illustration with a familiar and frequently referred to as random set of digitsComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic