正态分布-分位数

正态分布－分位数表

x0.0000.0010.002 0.500.0000000.0025070.005013 0.510.0250690.0275760.030084 0.520.0501540.0526640.055174 0.530.0752700.0777840.080298 0.540.1004340.1029530.105474 0.550.1256610.1281880.130716 0.560.1509690.1535050.156042 0.570.1763740.1789210.181468 0.580.2018930.2044520.207013 0.590.2275450.2301180.232693 0.600.2533470.2559360.258527 0.610.2793190.2819260.284536 0.620.3054810.3081080.310738 0.630.3318530.3345030.337155 0.640.3584590.3611330.363810 0.650.3853200.3880220.390726 0.660.4124630.4151940.417928 0.670.4399130.4426760.445443

0.680.4676990.4704970.473299 0.690.4958500.4986870.501527 0.700.5244010.5272790.530161 0.710.5533850.5563080.559237 0.720.5828420.5858150.588793 0.730.6128130.6158400.618873 0.740.6433450.6464310.649524 0.750.6744900.6776400.680797 0.760.7063030.7095230.712751 0.770.7388470.7421440.745450 0.780.7721930.7755750.778966 0.790.8064210.8098960.813380 0.800.8416210.8451990.848787 0.810.8778960.8815870.885290 0.820.9153650.9191830.923014 0.830.9541650.9581240.962099 0.840.9944580.998576 1.002712 0.85 1.036433 1.040732 1.045050 0.86 1.080319 1.084823 1.089349 0.87 1.126391 1.131131 1.135896 0.88 1.174987 1.180001 1.185044

0.89 1.226528 1.231864 1.237235

0.90 1.281552 1.287271 1.293032

0.91 1.340755 1.346939 1.353174

0.92 1.405072 1.411830 1.418654

0.93 1.475791 1.483280 1.490853

0.94 1.554774 1.563224 1.571787

0.95 1.644854 1.654628 1.664563

0.96 1.750686 1.762410 1.774382

0.97 1.880794 1.895698 1.911036

0.98 2.053749 2.074855 2.096927

0.99 2.326348 2.365618 2.408916

注：本表对于下侧概率给出正态分布

例：对于p=0.95, Z_p=1.644853

当p<0.5时，Z_p=Z_1-p , 例如： Z_0.1= -

对双侧概率，相应的分位数为 Z_1-p/2 例

0.0030.0040.0050.006 0.0075200.0100270.0125330.015040 0.0325920.0351000.0376080.040117 0.0576840.0601950.0627070.065219 0.0828130.0853290.0878450.090361 0.1079950.1105160.1130390.115562 0.1332450.1357740.1383040.140835 0.1585800.1611190.1636580.166199 0.1840170.1865670.1891180.191671 0.2095740.2121370.2147020.217267 0.2352690.2378470.2404260.243007 0.2611200.2637140.2663110.268909 0.2871470.2897600.2923750.294992 0.3133690.3160030.3186390.321278 0.3398090.3424660.3451260.347787 0.3664890.3691710.3718560.374543 0.3934330.3961420.3988550.401571 0.4206650.4234050.4261480.428895 0.4482120.4509850.4537620.456542

0.4761040.4789140.4817270.484544 0.5043720.5072210.5100730.512930 0.5330490.5359400.5388360.541737 0.5621700.5651080.5680510.570999 0.5917770.5947660.5977600.600760 0.6219120.6249560.6280060.631062 0.6526220.6557270.6588380.661955 0.6839610.6871310.6903090.693493 0.7159860.7192290.7224790.725737 0.7487630.7520850.7554150.758754 0.7823650.7857740.7891920.792619 0.8168750.8203790.8238940.827418 0.8523860.8559960.8596170.863250 0.8890060.8927330.8964730.900226 0.9268590.9307170.9345890.938476

0.9660880.9700930.9741140.978150

1.006864 1.011034 1.015222 1.019428 1.049387 1.053744 1.058122 1.062519 1.093897 1.098468 1.103063 1.107680 1.140687 1.145505 1.150349 1.155221 1.190118 1.195223 1.200359 1.205527

1.242641 1.248085 1.253565 1.259084 1.298837 1.304685 1.310579 1.316519 1.359463 1.365806 1.372204 1.378659 1.425544 1.432503 1.439531 1.446632 1.498513 1.506262 1.514102 1.522036 1.580467 1.589268 1.598193 1.607248 1.674665 1.684941 1.695398 1.706043 1.786613 1.799118 1.811911 1.825007

1.926837 1.943134 1.959964 1.977368

2.120072 2.144411 2.170090 2.197286 2.457263 2.512144 2.575829 2.652070

p , 例如： Z_0.1= - Z_1-p = -Z_0.9 = - 1.281551

分位数为 Z_1-p/2 例如： alpha＝0.05, Z_1-alpha/2 =Z_0.975

态分布的分位数Z_p. 853

0.0070.0080.009 0.0175470.0200540.022562 0.0426260.0451350.047644 0.0677310.0702430.072756 0.0928790.0953960.097915 0.1180850.1206100.123135 0.1433670.1459000.148434 0.1687410.1712850.173829 0.1942250.1967800.199336 0.2198350.2224030.224973 0.2455900.2481740.250760 0.2715080.2741100.276714 0.2976110.3002320.302855 0.3239180.3265610.329206 0.3504510.3531180.355787 0.3772340.3799260.382622 0.4042890.4070110.409735 0.4316440.4343970.437154 0.4593260.4621130.464904

0.4873650.4901890.493018 0.5157920.5186570.521527 0.5446420.5475510.550466 0.5739520.5769100.579873 0.6037650.6067750.609791 0.6341240.6371920.640266 0.6650790.6682090.671346 0.6966850.6998840.703089 0.7290030.7322760.735558 0.7621010.7654560.768820 0.7960550.7995010.802956 0.8309530.8344990.838055 0.8668940.8705500.874217 0.9039910.9077700.911561 0.9423760.9462910.950221

0.9822030.9862710.990356

1.023651 1.027893 1.032154 1.066938 1.071377 1.075837 1.112321 1.116987 1.121677 1.160120 1.165047 1.170002 1.210727 1.215960 1.221227

1.264641 1.270238 1.275874

1.322505 1.328539 1.334622

1.385172 1.391744 1.398377

1.453806 1.461056 1.468384

1.530068 1.538199 1.546433

1.616436 1.625763 1.635234

1.716886 1.727934 1.739198

1.838424 1.852180 1.866296

1.995393

2.014091 2.033520

2.226212 2.257129 2.290368

2.747781 2.878162

3.090232

51

pha/2 =Z_0.975=1.959961