5 Matthew recently took an IQ test in which he scored an IQ

5. Matthew recently took an IQ test in which he scored an IQ of 120. If the population’s mean IQ is 100 with a standard deviation of 15, what is Matthew’s z score? You must show your work. Round to the nearest hundredth decimal place.

Solution

using formula of standarize Z

Z = x - mean / SD

Z = (120 - 100 ) / 15

Z = 1.333