The mean Intelligence Quotient score is 100, and the standard deviation is 15. Calculate the z-score for Bill Gates's IQ score of 151.45.

Answer 1

To calculate the z-score for Bill Gates's IQ score of 151.45, we can use the formula:

z = (X - μ) / σ

Where:
X = Bill Gates's IQ score = 151.45
μ = Mean IQ score = 100
σ = Standard deviation = 15

Plugging in the values:

z = (151.45 - 100) / 15
z = 51.45 / 15
z = 3.43

Therefore, the z-score for Bill Gates's IQ score of 151.45 is 3.43.