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Answer :
Final answer:
Approximately 95% of IQ scores fall between -2 standard deviations and +2 standard deviations from the mean, according to the empirical rule.
Explanation:
By definition, approximately 95% of IQ scores fall between -2 standard deviations and +2 standard deviations from the mean in a normal distribution. This is based on the empirical rule, also known as the 68-95-99.7 rule, which states that about 68% of values lie within 1 standard deviation of the mean, about 95% within 2 standard deviations, and about 99.7% within 3 standard deviations.
When considering IQ scores, which are normally distributed with a mean of 100 and a standard deviation of 15, a score between -2SD and +2SD would be between 70 (100 - 2*15) and 130 (100 + 2*15). Thus, option d. 95 is the correct answer.
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