Answer :
Final answer:
In a normally distributed data set like IQ scores, approximately 68% of the values lie within one standard deviation from the mean. Therefore, approximately 68% of IQ scores are between 85 and 115.
Explanation:
The question is asking for the approximation of the percentage of IQ scores that lie within one standard deviation (15 points) of the mean (100). In a normal distribution, approximately 68% of the values lie within one standard deviation from the mean. So the correct answer is 'Approximately 68% of IQ scores are between 85 and 115.'
In more detail, the standard deviation is a measure of how spread out numbers in a data set are. In the case of IQ scores which follow a normal distribution, we can use the properties of this type of distribution to make predictions. Specifically, in a normal distribution, about 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this case, we're talking about one standard deviation (15 points) from the mean (100), so that's an IQ range of 85 to 115. So, approximately 68% of people have IQ scores within this range, according to the properties of the normal distribution.
Learn more about Normal Distribution here:
https://brainly.com/question/30390016
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