The Z Chart

IMPORTANT:  When examining this chart on the web, set the text view size to
medium, so that numbers below the bell curves will appear in their correct locations
(at top of screen, click "view", then point to "text size" and then "medium")

Part A       Location of whole number Z Scores on the Normal Curve


 .........-3.........-2........-1.............0...........1...........2..........3...........
..................................................m...............................................
m = mean
 

Part B     Proportions of the Curve corresponding with whole number Z scores

.........0013....0227....1587......5000.....8413.....9773.... .9987.....
 .........-3.........-2........-1.............0...........1...........2..........3..........

Part C        Proportions of the Curve corresponding with fractional Z Scores

Z score      Proportion of  area of curve
                  to the left of  Z score

-3.40          0.00034
-3.39          0.00035
-3.38          0.00036
-3.37          0.00038
-3.36          0.00039
-3.35          0.00040
-3.34          0.00042
-3.33          0.00043
-3.32          0.00045
-3.31          0.00047
-3.30          0.00048
-3.29          0.00050
-3.28          0.00052
-3.27          0.00054
-3.26          0.00056
-3.25          0.00058
-3.24          0.00060
-3.23          0.00062
-3.22          0.00064
-3.21          0.00066
-3.20          0.00069
-3.19          0.00071
-3.18          0.00074
-3.17          0.00076
-3.16          0.00079
-3.15          0.00082
-3.14          0.00084
-3.13          0.00087
-3.12          0.00090
-3.11          0.00094
-3.10          0.00097
-3.09          0.00100
-3.08          0.00104
-3.07          0.00107
-3.06          0.00111
-3.05          0.00114
-3.04          0.00118
-3.03          0.00122
-3.02          0.00126
-3.01          0.00131
-3.00          0.00135
-2.99          0.00139
-2.98          0.00144
-2.97          0.00149
-2.96          0.00154
-2.95          0.00159
-2.94          0.00164
-2.93          0.00169
-2.92          0.00175
-2.91          0.00181
-2.90          0.00187
-2.89          0.00193
-2.88          0.00199
-2.87          0.00205
-2.86          0.00212
-2.85          0.00219
-2.84          0.00226
-2.83          0.00233
-2.82          0.00240
-2.81          0.00248
-2.80          0.00256
-2.79          0.00264
-2.78          0.00272
-2.77          0.00280
-2.76          0.00289
-2.75          0.00298
-2.74          0.00307
-2.73          0.00317
-2.72          0.00326
-2.71          0.00336
-2.70          0.00347
-2.69          0.00357
-2.68          0.00368
-2.67          0.00379
-2.66          0.00391
-2.65          0.00402
-2.64          0.00415
-2.63          0.00427
-2.62          0.00440
-2.61          0.00453
-2.60          0.00466
-2.59          0.00480
-2.58          0.00494
-2.57          0.00508
-2.56          0.00523
-2.55          0.00539
-2.54          0.00554
-2.53          0.00570
-2.52          0.00587
-2.51          0.00604
-2.50          0.00621
-2.49          0.00639
-2.48          0.00657
-2.47          0.00676
-2.46          0.00695
-2.45          0.00714
-2.44          0.00734
-2.43          0.00755
-2.42          0.00776
-2.41          0.00798
-2.40          0.00820
-2.39          0.00842
-2.38          0.00866
-2.37          0.00889
-2.36          0.00914
-2.35          0.00939
-2.34          0.00964
-2.33          0.00990
-2.32          0.01017
-2.31          0.01044
-2.30          0.01072
-2.29          0.01101
-2.28          0.01130
-2.27          0.01160
-2.26          0.01191
-2.25          0.01222
-2.24          0.01255
-2.23          0.01287
-2.22          0.01321
-2.21          0.01355
-2.20          0.01390
-2.19          0.01426
-2.18          0.01463
-2.17          0.01500
-2.16          0.01539
-2.15          0.01578
-2.14          0.01618
-2.13          0.01659
-2.12          0.01700
-2.11          0.01743
-2.10          0.01786
-2.09          0.01831
-2.08          0.01876
-2.07          0.01923
-2.06          0.01970
-2.05          0.02018
-2.04          0.02068
-2.03          0.02118
-2.02          0.02169
-2.01          0.02222
-2.00          0.02275
-1.99          0.02330
-1.98          0.02385
-1.97          0.02442
-1.96          0.02500
-1.95          0.02559
-1.94          0.02619
-1.93          0.02680
-1.92          0.02743
-1.91          0.02807
-1.90          0.02872
-1.89          0.02938
-1.88          0.03005
-1.87          0.03074
-1.86          0.03144
-1.85          0.03216
-1.84          0.03288
-1.83          0.03362
-1.82          0.03438
-1.81          0.03515
-1.80          0.03593
-1.79          0.03673
-1.78          0.03754
-1.77          0.03836
-1.76          0.03920
-1.75          0.04006
-1.74          0.04093
-1.73          0.04182
-1.72          0.04272
-1.71          0.04363
-1.70          0.04457
-1.69          0.04551
-1.68          0.04648
-1.67          0.04746
-1.66          0.04846
-1.65          0.04947
-1.64          0.05050
-1.63          0.05155
-1.62          0.05262
-1.61          0.05370
-1.60          0.05480
-1.59          0.05592
-1.58          0.05705
-1.57          0.05821
-1.56          0.05938
-1.55          0.06057
-1.54          0.06178
-1.53          0.06301
-1.52          0.06426
-1.51          0.06552
-1.50          0.06681
-1.49          0.06811
-1.48          0.06944
-1.47          0.07078
-1.46          0.07215
-1.45          0.07353
-1.44          0.07493
-1.43          0.07636
-1.42          0.07780
-1.41          0.07927
-1.40          0.08076
-1.39          0.08226
-1.38          0.08379
-1.37          0.08534
-1.36          0.08692
-1.35          0.08851
-1.34          0.09012
-1.33          0.09176
-1.32          0.09342
-1.31          0.09510
-1.30          0.09680
-1.29          0.09853
-1.28          0.10027
-1.27          0.10204
-1.26          0.10383
-1.25          0.10565
-1.24          0.10749
-1.23          0.10935
-1.22          0.11123
-1.21          0.11314
-1.20          0.11507
-1.19          0.11702
-1.18          0.11900
-1.17          0.12100
-1.16          0.12302
-1.15          0.12507
-1.14          0.12714
-1.13          0.12924
-1.12          0.13136
-1.11          0.13350
-1.10          0.13567
-1.09          0.13786
-1.08          0.14007
-1.07          0.14231
-1.06          0.14457
-1.05          0.14686
-1.04          0.14917
-1.03          0.15151
-1.02          0.15386
-1.01          0.15625
-1.00          0.15866
-0.99          0.16109
-0.98          0.16354
-0.97          0.16602
-0.96          0.16853
-0.95          0.17106
-0.94          0.17361
-0.93          0.17619
-0.92          0.17879
-0.91          0.18141
-0.90          0.18406
-0.89          0.18673
-0.88          0.18943
-0.87          0.19215
-0.86          0.19489
-0.85          0.19766
-0.84          0.20045
-0.83          0.20327
-0.82          0.20611
-0.81          0.20897
-0.80          0.21186
-0.79          0.21476
-0.78          0.21770
-0.77          0.22065
-0.76          0.22363
-0.75          0.22663
-0.74          0.22965
-0.73          0.23270
-0.72          0.23576
-0.71          0.23885
-0.70          0.24196
-0.69          0.24510
-0.68          0.24825
-0.67          0.25143
-0.66          0.25463
-0.65          0.25785
-0.64          0.26109
-0.63          0.26435
-0.62          0.26763
-0.61          0.27093
-0.60          0.27425
-0.59          0.27760
-0.58          0.28096
-0.57          0.28434
-0.56          0.28774
-0.55          0.29116
-0.54          0.29460
-0.53          0.29806
-0.52          0.30153
-0.51          0.30503
-0.50          0.30854
-0.49          0.31207
-0.48          0.31561
-0.47          0.31918
-0.46          0.32276
-0.45          0.32636
-0.44          0.32997
-0.43          0.33360
-0.42          0.33724
-0.41          0.34090
-0.40          0.34458
-0.39          0.34827
-0.38          0.35197
-0.37          0.35569
-0.36          0.35942
-0.35          0.36317
-0.34          0.36693
-0.33          0.37070
-0.32          0.37448
-0.31          0.37828
-0.30          0.38209
-0.29          0.38591
-0.28          0.38974
-0.27          0.39358
-0.26          0.39743
-0.25          0.40129
-0.24          0.40517
-0.23          0.40905
-0.22          0.41294
-0.21          0.41683
-0.20          0.42074
-0.19          0.42465
-0.18          0.42858
-0.17          0.43251
-0.16          0.43644
-0.15          0.44038
-0.14          0.44433
-0.13          0.44828
-0.12          0.45224
-0.11          0.45620
-0.10          0.46017
-0.09          0.46414
-0.08          0.46812
-0.07          0.47210
-0.06          0.47608
-0.05          0.48006
-0.04          0.48405
-0.03          0.48803
-0.02          0.49202
-0.01          0.49601
 0.00          0.50000
 0.01          0.50399
 0.02          0.50798
 0.03          0.51197
 0.04          0.51595
 0.05          0.51994
 0.06          0.52392
 0.07          0.52790
 0.08          0.53188
 0.09          0.53586
 0.10          0.53983
 0.11          0.54380
 0.12          0.54776
 0.13          0.55172
 0.14          0.55567
 0.15          0.55962
 0.16          0.56356
 0.17          0.56749
 0.18          0.57142
 0.19          0.57535
 0.20          0.57926
 0.21          0.58317
 0.22          0.58706
 0.23          0.59095
 0.24          0.59483
 0.25          0.59871
 0.26          0.60257
 0.27          0.60642
 0.28          0.61026
 0.29          0.61409
 0.30          0.61791
 0.31          0.62172
 0.32          0.62552
 0.33          0.6293
 0.34          0.63307
 0.35          0.63683
 0.36          0.64058
 0.37          0.64431
 0.38          0.64803
 0.39          0.65173
 0.40          0.65542
 0.41          0.65910
 0.42          0.66276
 0.43          0.66640
 0.44          0.67003
 0.45          0.67364
 0.46          0.67724
 0.47          0.68082
 0.48          0.68439
 0.49          0.68793
 0.50          0.69146
 0.51          0.69497
 0.52          0.69847
 0.53          0.70194
 0.54          0.70540
 0.55          0.70884
 0.56          0.71226
 0.57          0.71566
 0.58          0.71904
 0.59          0.72240
 0.60          0.72575
 0.61          0.72907
 0.62          0.73237
 0.63          0.73565
 0.64          0.73891
 0.65          0.74215
 0.66          0.74537
 0.67          0.74857
 0.68          0.75175
 0.69          0.7549
 0.70          0.75804
 0.71          0.76115
 0.72          0.76424
 0.73          0.76730
 0.74          0.77035
 0.75          0.77337
 0.76          0.77637
 0.77          0.77935
 0.78          0.78230
 0.79          0.78524
 0.80          0.78814
 0.81          0.79103
 0.82          0.79389
 0.83          0.79673
 0.84          0.79955
 0.85          0.80234
 0.86          0.80511
 0.87          0.80785
 0.88          0.81057
 0.89          0.81327
 0.90          0.81594
 0.91          0.81859
 0.92          0.82121
 0.93          0.82381
 0.94          0.82639
 0.95          0.82894
 0.96          0.83147
 0.97          0.83398
 0.98          0.83646
 0.99          0.83891
1.00          0.84134
1.01          0.84375
1.02          0.84614
1.03          0.84849
1.04          0.85083
1.05          0.85314
1.06          0.85543
1.07          0.85769
1.08          0.85993
1.09          0.86214
1.10          0.86433
1.11          0.86650
1.12          0.86864
1.13          0.87076
1.14          0.87286
1.15          0.87493
1.16          0.87698
1.17          0.87900
1.18          0.88100
1.19          0.88298
1.02          0.88493
1.21          0.88686
1.22          0.88877
1.23          0.89065
1.24          0.89251
1.25          0.89435
1.26          0.89617
1.27          0.89796
1.28          0.89973
1.29          0.90147
1.30          0.90320
1.31          0.90490
1.32          0.90658
1.33          0.90824
1.34          0.90988
1.35          0.91149
1.36          0.91308
1.37          0.91466
1.38          0.91621
1.39          0.91774
1.40          0.91924
1.41          0.92073
1.42          0.92220
1.43          0.92364
1.44          0.92507
1.45          0.92647
1.46          0.92785
1.47          0.92922
1.48          0.93056
1.49          0.93189
1.50          0.93319
1.51          0.93448
1.52          0.93574
1.53          0.93699
1.54          0.93822
1.55          0.93943
1.56          0.94062
1.57          0.94179
1.58          0.94295
1.59          0.94408
1.60          0.94520
1.61          0.94630
1.62          0.94738
1.63          0.94845
1.64          0.94950
1.65          0.95053
1.66          0.95154
1.67          0.95254
1.68          0.95352
1.69          0.95449
1.70          0.95543
1.71          0.95637
1.72          0.95728
1.73          0.95818
1.74          0.95907
1.75          0.95994
1.76          0.96080
1.77          0.96164
1.78          0.96246
1.79          0.96327
1.80          0.96407
1.81          0.96485
1.82          0.96562
1.83          0.96638
1.84          0.96712
1.85          0.96784
1.86          0.96856
1.87          0.96926
1.88          0.96995
1.89          0.97062
1.90          0.97128
1.91          0.97193
1.92          0.97257
1.93          0.97320
1.94          0.97381
1.95          0.97441
1.96          0.97500
1.97          0.97558
1.98          0.97615
1.99          0.97670
2.00          0.97725
2.01          0.97778
2.02          0.97831
2.03          0.97882
2.04          0.97932
2.05          0.97982
2.06          0.98030
2.07          0.98077
2.08          0.98124
2.09          0.98169
2.10          0.98214
2.11          0.98257
2.12          0.98300
2.13          0.98341
2.14          0.98382
2.15          0.98422
2.16          0.98461
2.17          0.98500
2.18          0.98537
2.19          0.98574
2.20          0.98610
2.21          0.98645
2.22          0.98679
2.23          0.98713
2.24          0.98745
2.25          0.98778
2.26          0.98809
2.27          0.98840
2.28          0.98870
2.29          0.98899
2.30          0.98928
2.31          0.98956
2.32          0.98983
2.33          0.99010
2.34          0.99036
2.35          0.99061
2.36          0.99086
2.37          0.99111
2.38          0.99134
2.39          0.99158
2.40          0.99180
2.41          0.99202
2.42          0.99224
2.43          0.99245
2.44          0.99266
2.45          0.99286
2.46          0.99305
2.47          0.99324
2.48          0.99343
2.49          0.99361
2.50          0.99379
2.51          0.99396
2.52          0.99413
2.53          0.99430
2.54          0.99446
2.55          0.99461
2.56          0.99477
2.57          0.99492
2.58          0.99506
2.59          0.99520
2.60          0.99534
2.61          0.99547
2.62          0.99560
2.63          0.99573
2.64          0.99585
2.65          0.99598
2.66          0.99609
2.67          0.99621
2.68          0.99632
2.69          0.99643
2.70          0.99653
2.71          0.99664
2.72          0.99674
2.73          0.99683
2.74          0.99693
2.75          0.99702
2.76          0.99711
2.77          0.99720
2.78          0.99728
2.79          0.99736
2.80          0.99744
2.81          0.99752
2.82          0.99760
2.83          0.99767
2.84          0.99774
2.85          0.99781
2.86          0.99788
2.87          0.99795
2.88          0.99801
2.89          0.99807
2.90          0.99813
2.91          0.99819
2.92          0.99825
2.93          0.99831
2.94          0.99836
2.95          0.99841
2.96          0.99846
2.97          0.99851
2.98          0.99856
2.99          0.99861
3.00          0.99865
3.01          0.99869
3.02          0.99874
3.03          0.99878
3.04          0.99882
3.05          0.99886
3.06          0.99889
3.07          0.99893
3.08          0.99896
3.09          0.99900
3.10          0.99903
3.11          0.99906
3.12          0.99910
3.13          0.99913
3.14          0.99916
3.15          0.99918
3.16          0.99921
3.17          0.99924
3.18          0.99926
3.19          0.99929
3.20          0.99931
3.21          0.99934
3.22          0.99936
3.23          0.99938
3.24          0.99940
3.25          0.99942
3.26          0.99944
3.27          0.99946
3.28          0.99948
3.29          0.99950
3.30          0.99952
3.31          0.99953
3.32          0.99955
3.33          0.99957
3.34          0.99958
3.35          0.99960
3.36          0.99961
3.37          0.99962
3.38          0.99964
3.39          0.99965
3.40          0.99966

Note:  Although by convention Z scores are portrayed on charts such as these
as ranging from -3.4 to +3.4, they in fact extend infinitely in both negative and
positive directions.