In a sample of 500 people, how many people would have an IQ greater than 140?people
Question
In a sample of 500 people, how many people would have an IQ greater than 140?
Solution
The question you're asking requires additional information to provide an accurate answer. IQ scores are typically distributed on a bell curve with a mean (average) of 100 and a standard deviation of 15. An IQ of 140 is considered near-genius or genius level and is 2.67 standard deviations above the mean.
According to the properties of a normal distribution, about 99.6% of people have IQ scores below 140. This means that only about 0.4% of people have an IQ above 140.
If we apply this percentage to a sample of 500 people, we would expect to find:
0.004 * 500 = 2 people
So, based on these assumptions, we would expect to find about 2 people in a sample of 500 who have an IQ greater than 140. However, please note that this is a statistical estimate and the actual number could be higher or lower.
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