SOLUTION: In a population of adults, normal distribution with mean 112 and standard deviation of 21. whats the percentage of adults with an IQ greater than 154?

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Question 647251: In a population of adults, normal distribution with mean 112 and standard deviation of 21. whats the percentage of adults with an IQ greater than 154?
Answer by colliefan(242) About Me  (Show Source):
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An IQ score of 154 is two standard deviations above the mean. [112 + 2(21) = 154]
95% of the population is within 2 standard deviations of the mean. That means that 2.5% of the population is lower than 2 standard deviations below the mean and 2.5% is above 2 standard deviations above the mean. Therefore 2.5% have IQ greater than 154 (and 2.5% have IQ below 70 because it is 2 standard deviation below the mean).