Year-3 The standard deviation plus or minus 3 for 99.2% for year three will cover a standard deviation from 546.3 to 89057.04. To calculate the normal distribution we need the z value, mean and standard deviation. Placing the value into excel using the following formula z = (x - μ) / σ. z = z-score, x = raw score or observation to be standardized μ = mean of the population, σ = standard deviation of the population. For year one the mean is 38112.5 and the standard deviation of population is 23685.9146. Using the standard deviation of 68% from the first year use a number in between 14426.59 and 61798.41. Let’s use 53231 and a number below the standard deviation 1000. For 535231 z score will be approximately 20.99 = (535231-38112.5)/23685.9146 this means that the normal deviation is above 20.99 of the standard deviation of 68% For a sample of 1000 z score will be approximately -1.57 = (1000-38112.5)/23685.9146. The standard deviation of 68% of 1000 is below -1.57.