![]() ![]() The z-scores are –1 and +1 for 44 and 56, respectively. The values 50 – 6 = 44 and 50 + 6 = 56 are within one standard deviation from the mean 50. Therefore, about 68% of the x values lie between –1 σ = (–1)(6) = –6 and 1 σ = (1)(6) = 6 of the mean 50. About 68% of the x values lie within one standard deviation of the mean.Suppose x has a normal distribution with mean 50 and standard deviation 6. ![]() The empirical rule is also known as the 68-95-99.7 rule.
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