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Rule of Thumb.Date: 2015-10-07; view: 357. When a distribution is bell-shaped the following statements, which are called Thumb rule, are true: Approximately 68% of the population members lie within one standard deviation of the mean. Approximately 95% of the population members lie within two standard deviations of the mean. Approximately 99.7% of the population members lie within three standard deviations of the mean. For example, suppose that scores on entrance exam have a mean of 480 and standard deviation of 90. If these scores are normally distributed, then approximately 68% will fall between 390 and 570 ;
Approximately 95% of the scores will fall between 300 and 660
Approximately 99.7 % of the scores will fall between 210 and 750
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