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# if this student's IQ is reported as a z score , what would the z-score be?

a very bright student is described as having an IQ that is three standard deviations above the mean. if this student's IQ is reported as a z score , what would the z-score be?

1 z=U+3
2 WRONG ANSWER Z= U+3 standard deviation
3 Z=3
4 cannot be determined from the information given

### 2 Answers by Expert Tutors

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James F. | Statistics Graduate Student and TutorStatistics Graduate Student and Tutor
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Marked as Best Answer
When referring to a z-score, the problem is assuming that you converted it to a Normal(0,1) distribution where 0 is the mean, 1 is the standard deviation.

3 standard deviations above the mean would be 0 +3 = 3

J.T.

### Comments

This is the correct answer. That is how z scores are reported: as a + or -.
thank you !!
Francisco E. | Francisco; Civil Engineering, Math., Science, Spanish, Computers.Francisco; Civil Engineering, Math., Sci...
5.0 5.0 (1 lesson ratings) (1)
2
Using the formula
Z=(X-μ)/δ
and plugging in The formula the values we obtain
Z=((μ+3δ)-μ)/δ
This will lead us to
Z=3 Answer!!!!!!!!!!!!!!!!

thank you !!