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Finding Cumulative Proportions of Normal Distributions Excel and similar spreadsheet software: Use the formula: =normdist(x, µ, σ, TRUE), where • x = cut-off value • µ = mean of Normal distribution • σ = standard deviation of Normal distribution For example, if adults’ IQ scores follow a Normal distribution with mean 100 and standard deviation 15, then the proportion of adults who score less than 110 is given by =normdist(110, 100, 15, TRUE) To compute the cut-off value for a given percentage, use the formula: =norminv(proportion, µ, σ). For example, =norminv(.8, 100, 15) gives the score below which 80% of adults rank. So from the calculation shown below, 80% of adults score below 112.6243. TI-83 and similar calculators: