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Understanding IQ Distribution: Calculating Percentages and Probabilities

This article explores the normal distribution of IQ scores in America, where the average IQ is 100 and the standard deviation is 15. We will find the percentage of individuals with an IQ lower than 69, the probability of having an IQ higher than 106, and the percentage of people whose IQ falls between 69 and 106. By applying the properties of normal distribution, we can better understand the distribution of IQ scores and how they relate to the population.

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Understanding IQ Distribution: Calculating Percentages and Probabilities

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  1. The Normal Distribution

  2. The average (mean) IQ in America is 100 with a standard deviation of 15. Assume that IQs are normally distributed. a. Find the percentage of people with IQ lower than 69.

  3. The average (mean) IQ in America is 100 with a standard deviation of 15. Assume that IQs are normally distributed. b. Find the probability that a person would have an IQ higher than 106.

  4. The average (mean) IQ in America is 100 with a standard deviation of 15. Assume that IQs are normally distributed. c. Find the percent of people who have an IQ between 69 and 106.

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