ABCDEFGHIJKLMNOPQRS
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RANDOM VARIABLE GENERATION
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PARAMETERSNORMAL RANDOM VARIABLE GENERATIONHISTOGRAM PARAMETERSHISTOGRAM
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ParameterDomainValue#Random~U[0,1]X~Normal(mu,sigma)MeasureValue#
Lower Bound
Upper Bound(LB+UB)/2
Absolute Frequency
Relative Frequency
Histogram Frequency
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muR510,369371273,99944299Size100001-7,6505-6,0711-6,860830,00030,000190
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sigmaR+320,9702838010,65494292Min-7,65052-6,0711-4,4916-5,281370,00070,000443
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30,884435368,59236478Max16,04163-4,4916-2,9121-3,7018220,00220,001393
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MEASURES40,837994807,95875030Bins154-2,9121-1,3326-2,12241360,01360,008610
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MeasureData Measurements
Parametric Measurements
50,864038368,29593270Range1,57955-1,33260,2468-0,54293880,03880,024565
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Mean4,94535,000060,878234898,4986250760,24681,82631,03669100,09100,057614
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Variance8,82359,000070,487224824,9039157171,82633,40582,616115590,15590,098704
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Standard Deviation2,97043,000080,935360409,5508513883,40584,98534,195520190,20190,127827
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Skewness0,02860,000090,507844575,0589940494,98536,56475,775020610,20610,130487
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Kurtosis3,04873,0000100,01964558-1,18337351106,56478,14427,354515170,15170,096045
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Median4,95685,0000110,831526417,88064399118,14429,72378,93398240,08240,052169
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Mode4,99985,0000120,557705155,43546039129,723711,303210,51343680,03680,023299
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130,491947754,939443861311,303212,882612,09291450,01450,009180
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DATA MOMENTS140,109714531,315856871412,882614,462113,6724320,00320,002026
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k
Non Central Moments - µ'[k]
Central Moments - µ[k]150,735836446,891685231514,462116,041615,251890,00090,000570
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14,94530,0000160,702113096,59146315
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233,27888,8226170,9640787410,40034438
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3252,58520,7491180,02701880-0,77960497
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42144,8843237,3510190,553075185,40030397
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200,345585813,80820325
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PARAMETRIC MOMENTS - ⚠️[No analytical formula] [∫Integration]210,276747933,22241053
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k
Non Central Moments - µ'[k]
Central Moments - µ[k]220,471723534,78718587
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14,99820,0000230,9866497811,64760852
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233,96648,9849240,440323014,54954907
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3259,4559-0,1285250,097368511,10992266
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42208,6451240,4068260,631376026,00649998
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270,119401061,46604147
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280,244727722,92647435
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290,225053222,73428729
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300,131902941,64767753
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310,508492395,06386663
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320,389337034,15685786
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330,9832559911,37854893
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340,614905415,87638233
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350,364337033,95933038
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360,905979998,94919830
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370,613093445,86217235
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380,127073581,57899793
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390,02795036-0,73542661
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400,558816405,44390710
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410,179095702,24354956
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420,133518751,67026782
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430,188651792,35137375
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440,207511352,55473997
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450,117299681,43421723
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460,374047814,03654560
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470,542830605,32270240
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480,605652775,80401893
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490,705012486,61661664
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500,9698810910,63714644
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510,884528838,59380480
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520,9916196312,17574406
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530,412236064,33460977
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540,158041421,99237988
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550,939883379,66138592
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560,064460850,44489649
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570,306658893,48397026
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580,781618907,33301703
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590,610008855,83802632
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600,453946504,65291018
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610,427284124,45012142
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620,196341942,43571924
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630,670691246,32546810
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640,591803805,69656246
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650,316177943,56475927
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660,567362585,50899025
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670,392302004,18002733
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680,9702528610,65356888
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690,703485746,60335741
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700,624889435,95504338
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710,9896309311,93815432
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720,134307911,68123259
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730,677777916,38448222
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740,823279627,78380808
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750,288875693,32998326
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760,395911784,20816988
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770,541951155,31605146
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780,505426185,04080552
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790,507814035,05876435
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800,180822772,26329789
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810,9543250210,06495790
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820,112754981,36398101
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830,585224905,64583547
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840,123274801,52368739
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850,885238008,60475773
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860,700871536,58072634
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870,066913010,50244932
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880,508782875,06605154
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890,381360544,09427160
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900,02187432-1,04947348
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910,158230541,99472971
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920,432068104,48666593
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930,123107941,52123074
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940,216578032,64859280
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950,186778872,33051310