High School

IQ scores have a mean of 100 and a standard deviation of 16.

Albert Einstein reportedly had an IQ of 160.
Arnav Sharma, a 12-year-old boy, gained a score of 162.

What is the difference between the z-score of Einstein and the z-score of Sharma?

Answer :

Final answer:

The difference between the z-scores for Einstein and Sharma's IQ scores is 0.125, with Einstein having a z-score of 3.75 and Sharma a z-score of 3.875.

Explanation:

The question pertains to calculating the difference between the z-scores for Albert Einstein and Arnav Sharma given their respective IQ scores and the mean and standard deviation of IQ scores in general. To calculate the z-score, we use the formula z = (X - μ) / σ, where X is the IQ score, μ (mu) is the mean IQ score, and σ (sigma) is the standard deviation.

For Einstein with an IQ of 160:
z = (160 - 100) / 16 = 60 / 16 = 3.75

For Sharma with an IQ of 162:
z = (162 - 100) / 16 = 62 / 16 = 3.875

The difference between the z-scores is:
3.875 - 3.75 = 0.125.

Therefore, the difference between the z-scores of Einstein and Sharma is 0.125.

Learn more about z-score here:

https://brainly.com/question/15016913

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