Question 24
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160, Convert Einsteins IQ score to a z-score.
No rounding necessary, please type in the exact answer.

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Final Answer: The z-score for Einstein's IQ is \(\boxed{3.75}\).

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Step 1 ：Given that the mean IQ score is 100 and the standard deviation is 16.

Step 2 ：Albert Einstein reportedly had an IQ of 160.

Step 3 ：The z-score is a measure of how many standard deviations an element is from the mean.

Step 4 ：To calculate the z-score of a value, we subtract the mean from it and then divide by the standard deviation.

Step 5 ：Subtract the mean IQ from Einstein's IQ: \(160 - 100 = 60\).

Step 6 ：Divide the result by the standard deviation: \(\frac{60}{16} = 3.75\).

Step 7 ：Final Answer: The z-score for Einstein's IQ is \(\boxed{3.75}\).