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What percent of IQ scores lie between 85 and 130 in a normal distribution with a mean of 100 and SD of…

In a normal distribution with Mean = 100 and SD = 15, an IQ of 85 corresponds to z = (85 - 100)/15 = -1.00 (comprising 34.13% of scores between the mean and -1 SD) and an IQ…

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What percent of IQ scores lie between 85 and 130 in a normal distribution with a mean of 100 and SD of 15 points ?

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In a normal distribution with Mean = 100 and SD = 15, an IQ of 85 corresponds to z = (85 - 100)/15 = -1.00 (comprising 34.13% of scores between the mean and -1 SD) and an IQ of 130 corresponds to z = (130 - 100)/15 = +2.00 (comprising 47.72% of scores between the mean and +2 SD). Summing 34.13% + 47.72% yields 81.85%.

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