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Answer :
In a normal distribution,approximately 68% of the data falls within one standard deviation of the mean.The range of weights of 68% of men is between 150 lbs and 180 lbs.
In statistics, the rule of 68% is known as the empirical rule or the 68-95-99.7 rule.
This rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean.
The middle 68% falls within one standard deviation of the mean.
Therefore, to find the range of weights of 68% of men, we can calculate it by adding and subtracting one standard deviation (15 lbs) to the mean weight (165 lbs).
When we do these calculations, we find that approximately 68% of men should weigh between 150 lbs (165-15) and 180 lbs (165+15).
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