High School

Using the 68-95-99.7 rule, about what percentage of people should have IQ scores above a certain threshold?

Answer :

Final answer:

Using the 68-95-99.7 rule, we can estimate the percentage of people with IQ scores above a certain value by subtracting the corresponding percentage from 100%.

Explanation:

Using the 68-95-99.7 rule, we can estimate the percentage of people who have IQ scores above a certain value. In this rule, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations of the mean, and approximately 99.7% falls within three standard deviations of the mean. To estimate the percentage of people with IQ scores above a certain value, we can subtract the corresponding percentage from 100%.

For example, if we assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, then we can estimate the percentage of people with IQ scores above 130 by subtracting the percentage within three standard deviations from 100%:

  • Percentage within three standard deviations: 99.7% - 68% = 31.7%
  • Percentage of people with IQ scores above 130: 100% - 31.7% = 68.3%

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