Answered: The body mass index (BMI) of a person…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 32PPS

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Please solve part d and e only.

The body mass index (BMI) of a person is defined to be the person’s body mass

divided by the square of the person’s height. The article “Influences of Parameter

Uncertainties within the ICRP 66 Respiratory Tract Model: Particle Deposition” (W.

Bolch, E. Farfan, et al., Health Physics, 2001:378–394) states that body mass index (in

kg/m2) in men aged 25–34 is lognormally distributed with parameters μ = 3.215 and σ = 0.157.

a.Find the mean and standard deviation BMI for men aged 25–34.

b.Find the standard deviation of BMI for men aged 25–34.

c.Find the median BMI for men aged 25–34.

d.What proportion of men aged 25–34 have a BMI less than 20?

e.Find the 80th percentile of BMI for men aged 25–34.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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