正态分布分位数.docx

正态分布分位数.docx

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正态分布分位数

正态分布-分位数表

x0.0000.0010.0020.500.0000000.0025070.0050130.510.0250690.0275760.0300840.520.0501540.0526640.0551740.530.0752700.0777840.0802980.540.1004340.1029530.1054740.550.1256610.1281880.1307160.560.1509690.1535050.1560420.570.1763740.1789210.1814680.580.2018930.2044520.2070130.590.2275450.2301180.2326930.600.2533470.2559360.2585270.610.2793190.2819260.2845360.620.3054810.3081080.3107380.630.3318530.3345030.3371550.640.3584590.3611330.3638100.650.3853200.3880220.3907260.660.4124630.4151940.4179280.670.4399130.4426760.445443

0.680.4676990.4704970.4732990.690.4958500.4986870.5015270.700.5244010.5272790.5301610.710.5533850.5563080.5592370.720.5828420.5858150.5887930.730.6128130.6158400.6188730.740.6433450.6464310.6495240.750.6744900.6776400.6807970.760.7063030.7095230.7127510.770.7388470.7421440.7454500.780.7721930.7755750.7789660.790.8064210.8098960.8133800.800.8416210.8451990.8487870.810.8778960.8815870.8852900.820.9153650.9191830.9230140.830.9541650.9581240.9620990.840.9944580.9985761.0027120.851.0364331.0407321.0450500.861.0803191.0848231.0893490.871.1263911.1311311.1358960.881.1749871.1800011.185044

0.891.2265281.2318641.237235

0.901.2815521.2872711.293032

0.911.3407551.3469391.353174

0.921.4050721.4118301.418654

0.931.4757911.4832801.490853

0.941.5547741.5632241.571787

0.951.6448541.6546281.664563

0.961.7506861.7624101.774382

0.971.8807941.8956981.911036

0.982.0537492.0748552.096927

0.992.3263482.3656182.408916

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

0.0030.0040.0050.0060.0075200.0100270.0125330.0150400.0325920.0351000.0376080.0401170.0576840.0601950.0627070.0652190.0828130.0853290.0878450.0903610.1079950.1105160.1130390.1155620.1332450.1357740.1383040.1408350.1585800.1611190.1636580.1661990.1840170.1865670.1891180.1916710.2095740.2121370.2147020.2172670.2352690.2378470.2404260.2430070.2611200.2637140.2663110.2689090.2871470.2897600.2923750.2949920.3133690.3160030.3186390.3212780.3398090.3424660.3451260.3477870.3664890.3691710.3718560.3745430.3934330.3961420.3988550.4015710.4206650.4234050.4261480.4288950.4482120.4509850.4537620.456542

0.4761040.4789140.4817270.4845440.5043720.5072210.5100730.5129300.5330490.5359400.5388360.5417370.5621700.5651080.5680510.5709990.5917770.5947660.5977600.6007600.6219120.6249560.6280060.6310620.6526220.6557270.6588380.6619550.6839610.6871310.6903090.6934930.7159860.7192290.7224790.7257370.7487630.7520850.7554150.7587540.7823650.7857740.7891920.7926190.8168750.8203790.8238940.8274180.8523860.8559960.8596170.8632500.8890060.8927330.8964730.9002260.9268590.9307170.9345890.938476

0.9660880.9700930.9741140.978150

1.0068641.0110341.0152221.0194281.0493871.0537441.0581221.0625191.0938971.0984681.1030631.1076801.1406871.1455051.1503491.1552211.1901181.1952231.2003591.205527

1.2426411.2480851.2535651.2590841.2988371.3046851.3105791.3165191.3594631.3658061.3722041.3786591.4255441.4325031.4395311.4466321.4985131.5062621.5141021.5220361.5804671.5892681.5981931.6072481.6746651.6849411.6953981.7060431.7866131.7991181.8119111.825007

1.9268371.9431341.9599641.977368

2.1200722.1444112.1700902.1972862.4572632.5121442.5758292.652070

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

0.0070.0080.0090.0175470.0200540.0225620.0426260.0451350.0476440.0677310.0702430.0727560.0928790.0953960.0979150.1180850.1206100.1231350.1433670.1459000.1484340.1687410.1712850.1738290.1942250.1967800.1993360.2198350.2224030.2249730.2455900.2481740.2507600.2715080.2741100.2767140.2976110.3002320.3028550.3239180.3265610.3292060.3504510.3531180.3557870.3772340.3799260.3826220.4042890.4070110.4097350.4316440.4343970.4371540.4593260.4621130.464904

0.4873650.4901890.4930180.5157920.5186570.5215270.5446420.5475510.5504660.5739520.5769100.5798730.6037650.6067750.6097910.6341240.6371920.6402660.6650790.6682090.6713460.6966850.6998840.7030890.7290030.7322760.7355580.7621010.7654560.7688200.7960550.7995010.8029560.8309530.8344990.8380550.8668940.8705500.8742170.9039910.9077700.9115610.9423760.9462910.950221

0.9822030.9862710.990356

1.0236511.0278931.0321541.0669381.0713771.0758371.1123211.1169871.1216771.1601201.1650471.1700021.2107271.2159601.221227

1.2646411.2702381.275874

1.3225051.3285391.334622

1.3851721.3917441.398377

1.4538061.4610561.468384

1.5300681.5381991.546433

1.6164361.6257631.635234

1.7168861.7279341.739198

1.8384241.8521801.866296

1.995393

2.0140912.033520

2.2262122.2571292.290368

2.7477812.878162

3.090232

51

pha/2=Z_0.975=1.959961