# IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportwdly had ab IQ of 160. a. What is the difference between Einstein's IQ and the mean? b. How many standard deviations is that? c. Convert Einstein's IQ score to a z-score. d. If we consider usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual or unusual?

IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportwdly had ab IQ of 160.
a. What is the difference between Einstein's IQ and the mean?
b. How many standard deviations is that?
c. Convert Einstein's IQ score to a z-score.
d. If we consider usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual or unusual?
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a) Difference $=160-100=60$
b) No of Standard deviations $=\frac{60}{16}=3.75$
c) z score $=3.75$
d) Yes, this is unusual because z score is greater than 2