IQ scores are normally distributed with a mean of 100 and standard deviation of 15. This implies a person with “average” intelligence scores 100 on an IQ Test. Various Psychological Classifications dub people with IQ scores of 130 as extremely intelligent or suggest they exhibit superior intelligence. What is the approximate probability that a random IQ test taker will score between 100 and 130?

Jazlyn Nash

Jazlyn Nash

Answered question

2022-12-02

IQ scores are normally distributed with a mean of 100 and standard deviation of 15. This implies a person with “average” intelligence scores 100 on an IQ Test. Various Psychological Classifications dub people with IQ scores of 130 as extremely intelligent or suggest they exhibit superior intelligence. What is the approximate probability that a random IQ test taker will score between 100 and 130?

Answer & Explanation

Alma Garner

Alma Garner

Beginner2022-12-03Added 15 answers

X N ( μ = 100 , σ = 15 ) P ( 100 < X < 130 )
Standardizing the value
Z = X μ σ Z = 100 100 15 Z = 0 Z = 130 100 15 Z = 2 P ( 0 < Z < 2 ) P ( 100 < X < 130 ) = P ( Z < 2 ) P ( Z < 0 ) P ( 100 < X < 130 ) = 0.9772 0.5 P ( 100 < X < 130 ) = 0.4772 47.72

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?