Answered: In a random sample of 1,001 adults,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In a random sample of 1,001 adults, suppose I find that the Body Mass Index (BMI) is normally distributed. (The BMI is a commonly used, albeit controversial, metric that assesses weight for height. You don’t want to see it too low or too high.). Below are my results for the mean, median, standard deviation, standard error of the mean, and the 95 percent confidence interval for the mean

(a) What proportion of the sample of 1,001 adults has a BMI above 22.0812

Statistics
Body Mass Index
Descriptives
N
Valid
1001
Statistic
Std. Error
Missing
Body Mass Index
Mean
27.7643
.17963
Mean
27.7643
95% Confidence Interval
for Mean
Lower Bound
27.4118
Std. Error of Mean
.17963
Upper Bound
28.1168
Median
26.6229
Std. Deviation
5.68310

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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