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Answer :

A score of 115 is one standard deviation above the mean according the normal distribution principle.

Given the Parameters :

Average score or mean = 100

Standard deviation = 15

An IQ score, X = 115 can be related to the mean and standard deviation of the IQ score distribution thus :

  • Mean + number of standard deviations = Score

  • 100 + 15 = 115 ;

This means that a score of 115 is one standard deviation above the mean score.

Therefore, a score of 115 is one standard deviation above the mean score of 100

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