IQ test scores are normally distributed with a mean of 100 and a standard deviation of 12. An individual's IQ score is found to be 127. Find the z-score corresponding to this value.

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

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step-by-step explanation:

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