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31-10-2017
Mathematics

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assume heights of adult men are normally distributed. the average height of adult men in a certain country is 68.9 inches. the standard deviation of the heights is 2.4 inches. based on this data, what percentage of men in this country are taller than 73.7 inches?

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Kalahira Kalahira

11-11-2017

73.7 inches is 2 standard deviations above the mean of 68.9 inches. The empirical rule states that 95% of the data for a normal distribution falls within 2 standard deviations of the mean. The tails on both ends account for the remaining 5%. Symmetry of the distribution then suggests that 2.5% of men are taller than 73.7 inches.

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