Answered: Recall from Exercise 2 the data on the…

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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Recall from Exercise 2 the data on the concen- tration (EU/mg) in settled dust for one sample of urban homes and another of farm homes:

a. Determine the medians, quartiles, and IQRs for the two samples.
b. Are there any outliers in either sample? Any extreme outliers?
c. Construct a comparative boxplot and use it as a basis for comparing and contrasting the two samples.

U: 6.0
5.0 11.0 33.0 4.0
5.0
80.0 18.0 35.0 17.0 23.0
F: 4.0
14.0 11.0 9.0
9.0 8.0
4.0
20.0 5.0
8.9 21.0 9.2
3.0
2.0 0.3
a. Determine the medians, quartiles, and IQRS
for the two samples.
b. Are there any outliers in either sample? Any
extreme outliers?
c. Construct a comparative boxplot and use it as
a basis for comparing and contrasting the two
samples.

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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