People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ scores have a mean of 100 and a standard deviation of 16 points, what IQ score do you need to be consideblack a genius?

Brooklyn Farrell

Brooklyn Farrell

Answered question

2022-08-13

People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ scores have a mean of 100 and a standard deviation of 16 points, what IQ score do you need to be consideblack a genius?

Answer & Explanation

sekanta2b

sekanta2b

Beginner2022-08-14Added 17 answers

140
Explanation:
we have
X ~ N ( 100 , 16 2 )
and are given
P ( Z > 2.5 ) - - - ( 1 )
to find the requiblack X score
we have to standardise
P ( z > X - 100 16 ) - - - ( 2 )
comparing ( 1 ) & ( 2 )
X - 100 16 = 2.5
X - 100 = 16 × 2.5 = 40
X = 100 + 40 = 140

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