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According to the National Center for Health Statistics, the mean height of an American male is 69.3 inches and the mean height of an American female is 63.8 inches. The standard deviation for both genders is 2.7 inches.
According to Chebyshev’s Theorem 75% of the data for your gender lies between what two heights?
If height is assumed to be normal, what percentage of the data lies between those same two heights?
NOTE: The normal distribution is really simple. Look at the standard normal curve and just add the values within 2 standard deviations from the mean.Chebyshev's Theorem For any data set at least 75% of the data values are within 2 standard deviations of the mean and at least 89% are within 3 standard deviations. Example Mean S.D. Male Height 68.9 2.6 Female Height 63.7 2.5 75% values Lower Value Male 63.7 Upper Value Male Upper Value Lower Value Female 58.7 Female If the data is Normal Note: We are looking at two standard deviations from the mean. What it is the sum of the percentages in the range of the µ ± 2σ? 74.1 68.7 ...
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