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In a survey of women the mean height was 62.5 inches with standard deviation of 2.82 inches. What height represents the 95th percentile? What height represents the first quartile?

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example: In a survey of women in a certain country (ages 20-29) the mean height 63.7 inches with a standard deviations 2.65 inches. What is the height that represent 85 perentile ? what is the height represent First quartile

answer: in a survey of women in a certain country (ages 20-29) the mean height 63.7 inches with a standard deviations 2.65 inches.
What is the height that represent 85 percentile ?
Find the z-value of the 85th percentile::
invNorm(0.85) = 1.0364
Find the corresponding height value::
h = z*s + u
h = 1.0364*2.65 + 63.7
h = 66.47"
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