Question

mensa is an organization whose membership is limited to people whose IQ is in the top 2% of the population. assume that scores on an IQ test are normanally distributed with mean u= 100 and standard deviation 0=15. what is the minimum score needed to qualify for membership in mensa?

Answer 1

Let K be the score needed to qualify for membership in Mensa.

Here

Now as per the given information

P(X > K ) = 0.02

But from standard normal distribution table

P(Z > 2.0537) = 0.02

So

So the minimum score needed to qualify for membership in Mensa is 130.8055

Note: Please round the answer as per requirement.

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