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?

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) (Show Source): You can put this solution on YOUR website!
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).
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