Please determine:1. Mean2. Median3. Standard deviation4. Coefficient of variation of the measured COD for each QC sample in the table.What can be concluded about the performance characteristics of the COD analysis? QС200QC50QC2519350.051919350.051921057.5521.3520455.920.319247.659.9520551.516.320548.215.1519953.1514.320254.7520.119545.3513.619450.91120150.551420453.4512.620453.6519.629549.216.319548.6516.919446.315.119647.210.7520556.322.9519545.112.220453.3520.8519847.6510.519552.6517.920253.0517.25

Answered: Please determine: 1. Mean 2. Median…

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

Please determine:

1. Mean

2. Median

3. Standard deviation

4. Coefficient of variation of the measured COD for each QC sample in the table.

What can be concluded about the performance characteristics of the COD analysis?

QС200
QC50
QC25
193
50.05
19
193
50.05
19
210
57.55
21.35
204
55.9
20.3
192
47.65
9.95
205
51.5
16.3
205
48.2
15.15
199
53.15
14.3
202
54.75
20.1
195
45.35
13.6
194
50.9
11
201
50.55
14
204
53.45
12.6
204
53.65
19.6
295
49.2
16.3
195
48.65
16.9
194
46.3
15.1
196
47.2
10.75
205
56.3
22.95
195
45.1
12.2
204
53.35
20.85
198
47.65
10.5
195
52.65
17.9
202
53.05
17.25

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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Given,

QC200 X	QC50 Y	QC25 Z	(X-Xbar)²	(Y - Ybar)²	(Z - Zbar)²
193	50.05	19	106.7771	0.761954	8.277704
193	50.05	19	106.7771	0.761954	8.277704
210	57.55	21.35	44.44489	43.91845	27.32257
204	55.9	20.3	0.444489	24.77152	17.44816
192	47.65	9.95	128.4437	10.71187	38.10469
205	51.5	16.3	2.777889	0.333044	0.031364
205	48.2	15.15	2.777889	7.414184	0.946534
199	53.15	14.3	18.77749	4.959974	3.322964
202	54.75	20.1	1.777689	14.64669	15.81732
195	45.35	13.6	69.44389	31.05721	6.365024
194	50.9	11	87.11049	0.000524	26.2441
201	50.55	14	5.444289	0.139054	4.506704
204	53.45	12.6	0.444489	6.386234	12.41082
204	53.65	19.6	0.444489	7.437074	12.09022
295	49.2	16.3	8402.784	2.968384	0.031364
195	48.65	16.9	69.44389	5.166074	0.603884
194	46.3	15.1	87.11049	21.3712	1.046324
196	47.2	10.75	53.77729	13.85998	28.86805
205	56.3	22.95	2.777889	28.9132	46.60929
195	45.1	12.2	69.44389	33.90616	15.38914
204	53.35	20.85	0.444489	5.890814	22.34547
198	47.65	10.5	28.44409	10.71187	31.617
195	52.65	17.9	69.44389	2.982874	3.158084
202	53.05	17.25	1.777689	4.524554	1.270354
Sum = 4880	1222.15	386.95	9361.333	283.5949	332.1049