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.

Question

Mathematics

Emmalee Barrett

11 July, 23:26

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.

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Alia Curry · Answer 1

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