stributed with a mean of 100 and a standard deviation of 16. Find the proportion of people in the general population with 1Qs between 90 а. and 110. b. What is the lowest IQ score in the Stanford-Binet Intelligence Scales that would qualify you for MENSA membership? c. Leonor, a very diligent student, has an IQ score of 150. What proportion of the general population have IQ scores above Leonor's IQ score?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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MENSA is an international organization requiring a high lQ for membership. It was
founded in 1946 by Roland Berrill and Dr. Lancelot Ware as a nonpolitical society of
bright people representing different points of view. To qualify for membership, one
needs to have an IQ in the top 2% on some approved intelligence tests. One such test is
the Stanford-Binet Intelligence Scales, which assumes that IQ scores are normally
distributed with a mean of 100 and a standard deviation of 16.
а.
Find the proportion of people in the general population with IQs between 90
and 110.
b. What is the lowest IQ score in the Stanford-Binet Intelligence Scales that would
qualify you for MENSA membership?
c. Leonor, a very diligent student, has an IQ score of 150. What proportion of the
general population have IQ scores above Leonor's IQ score?
Transcribed Image Text:MENSA is an international organization requiring a high lQ for membership. It was founded in 1946 by Roland Berrill and Dr. Lancelot Ware as a nonpolitical society of bright people representing different points of view. To qualify for membership, one needs to have an IQ in the top 2% on some approved intelligence tests. One such test is the Stanford-Binet Intelligence Scales, which assumes that IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. а. Find the proportion of people in the general population with IQs between 90 and 110. b. What is the lowest IQ score in the Stanford-Binet Intelligence Scales that would qualify you for MENSA membership? c. Leonor, a very diligent student, has an IQ score of 150. What proportion of the general population have IQ scores above Leonor's IQ score?
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