Given the data set, show how the variance and z-score of each grade is found.
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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Given the data set, show how the variance and z-score of each grade is found.
![GRADES
FREQUENCY
(G)x(F)
VARIANCE FOR EACH
Z-point
PDF
82
1.
82
156.372093
-1.610497565 0.109067346
83
166
320.4186047
-1.345166548
0.16143139
84
420
820.4651163
-1.079835532
0.222693048
85
10
850
1680.232558
-0.814504516 0.286319392
86
2
172
344
-0.549173499
0.343099667
-0.283842483 0.383190965
-0.018511466 0.398873933
87
87
176.0232558
88
352
720.372093
90
4
360
753.4883721
0.512150567
0.349907084
91
91
192.5813953
0.777481583
0.294882785
92
7
644
1377.860465
1.042812599
0.231617589
93
279
603.4186047
1.308143616
0.169558311
94
1
94
205.4883721
1.573474632
0.115688998
95
190
419.7674419
1.838805649
0.073568257
МEAN
88.0697674
ТОTAL
7770.488372
VARIANCE
14.2044348
SD
3.76887713
TOTAL STUDENTS
43](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42780ffa-3764-4d1b-8e32-d91aedcbae97%2F44f994fb-3367-4bf5-a4d9-55240503bef2%2Fraua5bb_processed.png&w=3840&q=75)
Transcribed Image Text:GRADES
FREQUENCY
(G)x(F)
VARIANCE FOR EACH
Z-point
PDF
82
1.
82
156.372093
-1.610497565 0.109067346
83
166
320.4186047
-1.345166548
0.16143139
84
420
820.4651163
-1.079835532
0.222693048
85
10
850
1680.232558
-0.814504516 0.286319392
86
2
172
344
-0.549173499
0.343099667
-0.283842483 0.383190965
-0.018511466 0.398873933
87
87
176.0232558
88
352
720.372093
90
4
360
753.4883721
0.512150567
0.349907084
91
91
192.5813953
0.777481583
0.294882785
92
7
644
1377.860465
1.042812599
0.231617589
93
279
603.4186047
1.308143616
0.169558311
94
1
94
205.4883721
1.573474632
0.115688998
95
190
419.7674419
1.838805649
0.073568257
МEAN
88.0697674
ТОTAL
7770.488372
VARIANCE
14.2044348
SD
3.76887713
TOTAL STUDENTS
43
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