Given the data set, show how the variance and z-score of each grade is found.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
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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