Definition of Law Of Large Numbers

The law of large numbers is a statistical law that states that the mean of larger sample size is closer to the mean of the whole population. It also states that as the sample size grows the mean gets closer to the mean of the whole population.

Let’s see an example.

Sample 1 takes 7 values out of 13 with a mean of 164.86, sample 2 takes 9 values out of 13 with a mean of 177.78 and the largest sample 3 takes 10 values out of 13 with a mean of 173. 78, which is closest to the population mean of 171.