![]() 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. The z-scores for +3 σ and –3 σ are +3 and –3 respectively.The z-scores for +2 σ and –2 σ are +2 and –2, respectively.The z-scores for +1 σ and –1 σ are +1 and –1, respectively.Notice that almost all the x values lie within three standard deviations of the mean. About 99.7% of the x values lie between –3 σ and +3 σ of the mean µ (within three standard deviations of the mean).About 95% of the x values lie between –2 σ and +2 σ of the mean µ (within two standard deviations of the mean).About 68% of the x values lie between –1 σ and +1 σ of the mean µ (within one standard deviation of the mean).The Empirical RuleIf X is a random variable and has a normal distribution with mean µ and standard deviation σ, then the Empirical Rule states the following: This score tells you that x = 10 is _ standard deviations to the _(right or left) of the mean_(What is the mean?). Suppose Jerome scores ten points in a game. Jerome averages 16 points a game with a standard deviation of four points.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |