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Intelligence Quotient (IQ) scores are widely used to measure cognitive ability. A psychological research institute analyzes IQ scores to understand population intelligence distributions. In 2023, the IQ scores of a large adult population were normally distributed with a mean of 100 and a standard deviation of 15.
Using this information, calculate the following probabilities or values for the IQ scores:
The percentage of adults with IQ scores between 85 and 100.
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\(\pourcent\)
The percentage of adults with IQ scores between 70 and 100.
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\(\pourcent\)
The percentage of adults with IQ scores less than 115.
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\(\pourcent\)
In 2024, if there were 800 adults in this population, estimate the number of adults with IQ scores greater than 130 (round to the nearest integer).
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adults
For a normal distribution, the coverage probabilities are illustrated below:
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