A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high IQ society. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa?

A person must score 131 or above to qualify for Mensa.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.

Formula:

We have to find the value of x such that the probability is 0.02

Calculation the value from standard normal z table, we have,  

Thus, a person must score 131 or above to qualify for Mensa.

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step-by-step explanation:

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step-by-step explanation: