The mean of the Stanford Binet IQ is 100 with a standard deviation of 16. A. Mensa is an organization that only allows people to join if their IQs are in the top 2% of the population. What is the lowest Stanford-Binet IQ you could have and still be eligible to join Mensa? B. What percentage of the population has a Stanford-Binet IQ score between 84 and 95? C. What score falls at the 80th percentile. Show your work D. What is the probability of obtaining an IQ score lower than 80?
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Mensa is an organization that allows people to join only if their Stanford-Binet IQs are in the top 2% of the population. Assume the population mean of Stanford-Binet IQs is 100, and the standard deviation is 15, and that the population is normally distributed. (a) What is the lowest Stanford-Binet IQ you could have and still be eligible to join Mensa? (b) What is 99th percentile for the Stanford-Binet IQ scores? (c) What is the probability that a randomly selected persons Stanford-Binet IQ is between 85 and 115? (d) What is the probability that two randomly selected people both have Stanford-Binet IQs which qualify them for Mensa?
Shubham S.
The widely used Stanford-Binet IQ test has a mean of 100 points and a standard deviation of 16 points. Assume that the population of IQ scores on this test is normally distributed. A) The minimum score for entry into MENSA, a group for people with high IQs, is 138. Find the proportion of the population who are eligible to join MENSA. Another high IQ group known as the Triple Nine Society requires an IQ score at or above the 99.9th percentile, so that only the top 0.1% of IQ scores in the population are eligible. Determine the minimum IQ score required to join the Triple Nine Society. B) Marilyn vos Savant, author of Ask Marilyn column in Parade magazine, is reported to have an IQ score of 228. How many standard deviations above the mean is this? C) Find the proportion of the population having IQs between 110 and 130. D) With his IQ of 75, Forrest Gump would have a higher IQ than what percentage of the population.
Joanna Q.
Mensa is the international high-IQ society. Assume that in order to become a member of Mensa, a person must have an IQ in the top 1.5 percent of the general population. Further assume that the IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. a. what proportion of the population has an IQ greater than 112? Answer to four decimal places. b. what is the minimum IQ necessary to become a member of Mensa? c. what is the probability that two people, selected from the population at random, will both qualify for Mensa? Answer to four decimal places. d. what is the probability that exactly two out of a random sample of one hundred people will qualify for Mensa? Answer to four decimal places.
Kari H.
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