Answer:
The z-score corresponding to this value is 2.25
Step-by-step explanation:
In this question, we are asked to calculate the z-score of an IQ test.
To do this, what we need to do is to use the z-score formula
It’s mathematical form is written as follows:
Z-score = (x-mean)/s.d
Where x is the value in question which is 127 in this case
Mean is the arithmetic mean or average which is 100 in this case
S.d is standard deviation which is 12 in this case. We substitute these values into the equation.
Z-score= (127-100)/12 = 27/12 = 9/4 = 2.25
The z-score in this case is 2.25
