Answered: Using the same scale, draw a…

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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The table below shows the numbers of bushels of barley cultivated per acre for 12 one-acre plots of land for two different strains of barley, PHT-34 and CBX-21.

PHT-34	CBX-21
42	55
49	46
47	44
37	44
47	46
45	50
49	48
46	59
46	52
46	49
44	48
42	51

Using the same scale, draw a box-and-whisker plot for each of the two data sets, placing the PHT-34 plot below the CBX-21 plot.

Write a valid conclusion based on the data.

The maximum number of bushels cultivated per acre for CBX-21 is approximately equal to the median number of bushels cultivated per acre for PHT-34.The median number of bushels cultivated per acre for CBX-21 is approximately equal to the median number of bushels cultivated per acre for PHT-34. The maximum number of bushels cultivated per acre for PHT-34 is approximately equal to the median number of bushels cultivated per acre for CBX-21.The minumum number of bushels cultivated per acre for PHT-34 is approximately equal to the median number of bushels cultivated per acre for CBX-21.

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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