Question

Mandy has an IQ of 115. We know that the mean () IQ is 100 with a standard deviation of 15. There are 100 people in Mandy’s Alcoholics Anonymous meeting. Taken at random, how many members are smarter than Mandy

Answer 1

Answer: 16

Step-by-step explanation:

Given : Mean : $\mu=100$

Standard deviation : $\sigma =15$

The value of z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 115

$z=\dfrac{115-100}{15}=1$

The p-value : $P(z>1)=1-P(z$

Now, the number of people smarter than Many is given by :_

$100\times0.1586553=15.86553\approx16$

Hence, there are 16 members smarter than Mandy.