표준정규분포표

'''표준정규분포표'''(standard normal table)는 정규 분포의 누적 분포 함수 값인 Φ 값에 대한 표이다. 통계가 표준 정규 분포의 값 아래, 또는 위 값 사이에서 그리고 확장하여 모든 정규 분포에서 관찰 될 확률을 찾는 데 사용된다. 무한한 다양한 정규 분포가 있기 때문에 모든 정규 분포에 대해 확률 테이블을 인쇄 할 수 없기 때문에 정규 분포를 표준 정규로 변환한 다음 표준 정규분포표를 사용하여 확률을 찾는 것이 일반적이다.
z보다 작을 값을 가질 확률에 대한 누적 표준정규분포표는 다음과 같다.
 ''z'' 
 − 0.00
 − 0.01
 − 0.02
 − 0.03
 − 0.04
 − 0.05
 − 0.06
 − 0.07
 − 0.08
 − 0.09
 -4.0
0.00003
0.00003
0.00003
0.00003
0.00003
0.00003
0.00002
0.00002
0.00002
0.00002
 -3.9
0.00005
0.00005
0.00004
0.00004
0.00004
0.00004
0.00004
0.00004
0.00003
0.00003
 -3.8
0.00007
0.00007
0.00007
0.00006
0.00006
0.00006
0.00006
0.00005
0.00005
0.00005
 -3.7
0.00011
0.00010
0.00010
0.00010
0.00009
0.00009
0.00008
0.00008
0.00008
0.00008
 -3.6
0.00016
0.00015
0.00015
0.00014
0.00014
0.00013
0.00013
0.00012
0.00012
0.00011
 -3.5
0.00023
0.00022
0.00022
0.00021
0.00020
0.00019
0.00019
0.00018
0.00017
0.00017
 -3.4
0.00034
0.00032
0.00031
0.00030
0.00029
0.00028
0.00027
0.00026
0.00025
0.00024
 -3.3
0.00048
0.00047
0.00045
0.00043
0.00042
0.00040
0.00039
0.00038
0.00036
0.00035
 -3.2
0.00069
0.00066
0.00064
0.00062
0.00060
0.00058
0.00056
0.00054
0.00052
0.00050
 -3.1
0.00097
0.00094
0.00090
0.00087
0.00084
0.00082
0.00079
0.00076
0.00074
0.00071
 -3.0
0.00135
0.00131
0.00126
0.00122
0.00118
0.00114
0.00111
0.00107
0.00104
0.00100
 -2.9
0.00187
0.00181
0.00175
0.00169
0.00164
0.00159
0.00154
0.00149
0.00144
0.00139
 -2.8
0.00256
0.00248
0.00240
0.00233
0.00226
0.00219
0.00212
0.00205
0.00199
0.00193
 -2.7
0.00347
0.00336
0.00326
0.00317
0.00307
0.00298
0.00289
0.00280
0.00272
0.00264
 -2.6
0.00466
0.00453
0.00440
0.00427
0.00415
0.00402
0.00391
0.00379
0.00368
0.00357
 -2.5
0.00621
0.00604
0.00587
0.00570
0.00554
0.00539
0.00523
0.00508
0.00494
0.00480
 -2.4
0.00820
0.00798
0.00776
0.00755
0.00734
0.00714
0.00695
0.00676
0.00657
0.00639
 -2.3
0.01072
0.01044
0.01017
0.00990
0.00964
0.00939
0.00914
0.00889
0.00866
0.00842
 -2.2
0.01390
0.01355
0.01321
0.01287
0.01255
0.01222
0.01191
0.01160
0.01130
0.01101
 -2.1
0.01786
0.01743
0.01700
0.01659
0.01618
0.01578
0.01539
0.01500
0.01463
0.01426
 -2.0
0.02275
0.02222
0.02169
0.02118
0.02068
0.02018
0.01970
0.01923
0.01876
0.01831
 -1.9
0.02872
0.02807
0.02743
0.02680
0.02619
0.02559
0.02500
0.02442
0.02385
0.02330
 -1.8
0.03593
0.03515
0.03438
0.03362
0.03288
0.03216
0.03144
0.03074
0.03005
0.02938
 -1.7
0.04457
0.04363
0.04272
0.04182
0.04093
0.04006
0.03920
0.03836
0.03754
0.03673
 -1.6
0.05480
0.05370
0.05262
0.05155
0.05050
0.04947
0.04846
0.04746
0.04648
0.04551
 -1.5
0.06681
0.06552
0.06426
0.06301
0.06178
0.06057
0.05938
0.05821
0.05705
0.05592
 -1.4
0.08076
0.07927
0.07780
0.07636
0.07493
0.07353
0.07215
0.07078
0.06944
0.06811
 -1.3
0.09680
0.09510
0.09342
0.09176
0.09012
0.08851
0.08692
0.08534
0.08379
0.08226
 -1.2
0.11507
0.11314
0.11123
0.10935
0.10749
0.10565
0.10383
0.10204
0.10027
0.09853
 -1.1
0.13567
0.13350
0.13136
0.12924
0.12714
0.12507
0.12302
0.12100
0.11900
0.11702
 -1.0
0.15866
0.15625
0.15386
0.15151
0.14917
0.14686
0.14457
0.14231
0.14007
0.13786
 -0.9
0.18406
0.18141
0.17879
0.17619
0.17361
0.17106
0.16853
0.16602
0.16354
0.16109
 -0.8
0.21186
0.20897
0.20611
0.20327
0.20045
0.19766
0.19489
0.19215
0.18943
0.18673
 -0.7
0.24196
0.23885
0.23576
0.23270
0.22965
0.22663
0.22363
0.22065
0.21770
0.21476
 -0.6
0.27425
0.27093
0.26763
0.26435
0.26109
0.25785
0.25463
0.25143
0.24825
0.24510
 -0.5
0.30854
0.30503
0.30153
0.29806
0.29460
0.29116
0.28774
0.28434
0.28096
0.27760
 -0.4
0.34458
0.34090
0.33724
0.33360
0.32997
0.32636
0.32276
0.31918
0.31561
0.31207
 -0.3
0.38209
0.37828
0.37448
0.37070
0.36693
0.36317
0.35942
0.35569
0.35197
0.34827
 -0.2
0.42074
0.41683
0.41294
0.40905
0.40517
0.40129
0.39743
0.39358
0.38974
0.38591
 -0.1
0.46017
0.45620
0.45224
0.44828
0.44433
0.44038
0.43644
0.43251
0.42858
0.42465
 -0.0
0.50000
0.49601
0.49202
0.48803
0.48405
0.48006
0.47608
0.47210
0.46812
0.46414
 ''z'' 
 − 0.00
 − 0.01
 − 0.02
 − 0.03
 − 0.04
 − 0.05
 − 0.06
 − 0.07
 − 0.08
 − 0.09
 ''z'' 
 + 0.00
 + 0.01
 + 0.02
 + 0.03
 + 0.04
 + 0.05
 + 0.06
 + 0.07
 + 0.08
 + 0.09
 0.0
0.50000
0.50399
0.50798
0.51197
0.51595
0.51994
0.52392
0.52790
0.53188
0.53586
 0.1
0.53983
0.54380
0.54776
0.55172
0.55567
0.55962
0.56360
0.56749
0.57142
0.57535
 0.2
0.57926
0.58317
0.58706
0.59095
0.59483
0.59871
0.60257
0.60642
0.61026
0.61409
 0.3
0.61791
0.62172
0.62552
0.62930
0.63307
0.63683
0.64058
0.64431
0.64803
0.65173
 0.4
0.65542
0.65910
0.66276
0.66640
0.67003
0.67364
0.67724
0.68082
0.68439
0.68793
 0.5
0.69146
0.69497
0.69847
0.70194
0.70540
0.70884
0.71226
0.71566
0.71904
0.72240
 0.6
0.72575
0.72907
0.73237
0.73565
0.73891
0.74215
0.74537
0.74857
0.75175
0.75490
 0.7
0.75804
0.76115
0.76424
0.76730
0.77035
0.77337
0.77637
0.77935
0.78230
0.78524
 0.8
0.78814
0.79103
0.79389
0.79673
0.79955
0.80234
0.80511
0.80785
0.81057
0.81327
 0.9
0.81594
0.81859
0.82121
0.82381
0.82639
0.82894
0.83147
0.83398
0.83646
0.83891
 1.0
0.84134
0.84375
0.84614
0.84849
0.85083
0.85314
0.85543
0.85769
0.85993
0.86214
 1.1
0.86433
0.86650
0.86864
0.87076
0.87286
0.87493
0.87698
0.87900
0.88100
0.88298
 1.2
0.88493
0.88686
0.88877
0.89065
0.89251
0.89435
0.89617
0.89796
0.89973
0.90147
 1.3
0.90320
0.90490
0.90658
0.90824
0.90988
0.91149
0.91308
0.91466
0.91621
0.91774
 1.4
0.91924
0.92073
0.92220
0.92364
0.92507
0.92647
0.92785
0.92922
0.93056
0.93189
 1.5
0.93319
0.93448
0.93574
0.93699
0.93822
0.93943
0.94062
0.94179
0.94295
0.94408
 1.6
0.94520
0.94630
0.94738
0.94845
0.94950
0.95053
0.95154
0.95254
0.95352
0.95449
 1.7
0.95543
0.95637
0.95728
0.95818
0.95907
0.95994
0.96080
0.96164
0.96246
0.96327
 1.8
0.96407
0.96485
0.96562
0.96638
0.96712
0.96784
0.96856
0.96926
0.96995
0.97062
 1.9
0.97128
0.97193
0.97257
0.97320
0.97381
0.97441
0.97500
0.97558
0.97615
0.97670
 2.0
0.97725
0.97778
0.97831
0.97882
0.97932
0.97982
0.98030
0.98077
0.98124
0.98169
 2.1
0.98214
0.98257
0.98300
0.98341
0.98382
0.98422
0.98461
0.98500
0.98537
0.98574
 2.2
0.98610
0.98645
0.98679
0.98713
0.98745
0.98778
0.98809
0.98840
0.98870
0.98899
 2.3
0.98928
0.98956
0.98983
0.99010
0.99036
0.99061
0.99086
0.99111
0.99134
0.99158
 2.4
0.99180
0.99202
0.99224
0.99245
0.99266
0.99286
0.99305
0.99324
0.99343
0.99361
 2.5
0.99379
0.99396
0.99413
0.99430
0.99446
0.99461
0.99477
0.99492
0.99506
0.99520
 2.6
0.99534
0.99547
0.99560
0.99573
0.99585
0.99598
0.99609
0.99621
0.99632
0.99643
 2.7
0.99653
0.99664
0.99674
0.99683
0.99693
0.99702
0.99711
0.99720
0.99728
0.99736
 2.8
0.99744
0.99752
0.99760
0.99767
0.99774
0.99781
0.99788
0.99795
0.99801
0.99807
 2.9
0.99813
0.99819
0.99825
0.99831
0.99836
0.99841
0.99846
0.99851
0.99856
0.99861
 3.0
0.99865
0.99869
0.99874
0.99878
0.99882
0.99886
0.99889
0.99893
0.99896
0.99900
 3.1
0.99903
0.99906
0.99910
0.99913
0.99916
0.99918
0.99921
0.99924
0.99926
0.99929
 3.2
0.99931
0.99934
0.99936
0.99938
0.99940
0.99942
0.99944
0.99946
0.99948
0.99950
 3.3
0.99952
0.99953
0.99955
0.99957
0.99958
0.99960
0.99961
0.99962
0.99964
0.99965
 3.4
0.99966
0.99968
0.99969
0.99970
0.99971
0.99972
0.99973
0.99974
0.99975
0.99976
 3.5
0.99977
0.99978
0.99978
0.99979
0.99980
0.99981
0.99981
0.99982
0.99983
0.99983
 3.6
0.99984
0.99985
0.99985
0.99986
0.99986
0.99987
0.99987
0.99988
0.99988
0.99989
 3.7
0.99989
0.99990
0.99990
0.99990
0.99991
0.99991
0.99992
0.99992
0.99992
0.99992
 3.8
0.99993
0.99993
0.99993
0.99994
0.99994
0.99994
0.99994
0.99995
0.99995
0.99995
 3.9
0.99995
0.99995
0.99996
0.99996
0.99996
0.99996
0.99996
0.99996
0.99997
0.99997
 4.0
0.99997
0.99997
0.99997
0.99997
0.99997
0.99997
0.99998
0.99998
0.99998
0.99998
 ''z'' 
 + 0.00
 + 0.01
 + 0.02
 + 0.03
 + 0.04
 + 0.05
 + 0.06
 + 0.07
 + 0.08
 + 0.09
+
500px
 (예시)z값 0.75 - 표준정규분포표 0.7의 행에서 +0.05의 열의 값 0.77337로부터  노란색 영역의 범위가 77.337%임를 쉽게 확인할 수 있다.
500px
 (예시) z값 0 ~ 0.75 사이의 영역 값
: 0.75 (z값)- 표준정규분포표 0.7의 행에서 +0.05의 열의 값 0.77337을 확인할 수 있다.
: 0 (z값)- 표준정규분포표 0의 행에서 +0.00의 열의 값 0.5를 확인할 수 있다.
따라서 z값 0 ~ 0.75 사이의 영역 값은 0.77337 - 0.5 = 0.27337 을 확인할 수 있다.
* 상관행렬
분류:통계학
분류:정규 분포