Answered: Which of the following are true? A. At…

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

Which of the following are true?
A. At least three quarters of the data values in D1 are less than all of the data values in D2 .
B. The median value for D1 is less than the median value for D3 .
C. Three quarters of the data values for D2 are greater than the median value for D1 .
D. At least a quarter of the data values for D3 are less than the median value for D2 .
E. At least a quarter of the data values in D2 are less than all of the data values in D3 .
F. The data in D3 is skewed right.

nin
nax
D1
18
58
nin
nax
D2
38
68
nin
пах
D3
62
109
20
40
60
80
100
120

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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