完整版标准正态分布表.doc
.精品. 标准正态分布表
φ( - x ) = 1 –φ( x )
x 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0 0.500 0 0.504 0 0.508 0 0.512 0 0.516 0 0.519 9 0.523 9 0.527 9 0.531 9 0.535 9
0.1 0.539 8 0.543 8 0.547 8 0.551 7 0.555 7 0.559 6 0.563 6 0.567 5 0.571 4 0.575 3
0.2 0.579 3 0.583 2 0.587 1 0.591 0 0.594 8 0.598 7 0.602 6 0.606 4 0.610 3 0.614 1
0.3 0.617 9 0.621 7 0.625 5 0.629 3 0.633 1 0.636 8 0.640 4 0.644 3 0.648 0 0.651 7
0.4 0.655 4 0.659 1 0.662 8 0.666 4 0.670 0 0.673 6 0.677 2 0.680 8 0.684 4 0.687 9
0.5 0.691 5 0.695 0 0.698 5 0.701 9 0.705 4 0.708 8 0.712 3 0.715 7 0.719 0 0.722 4
0.6 0.725 7 0.729 1 0.732 4 0.735 7 0.738 9 0.742 2 0.745 4 0.748 6 0.751 7 0.754 9
0.7 0.758 0 0.761 1 0.764 2 0.767 3 0.770 3 0.773 4 0.776 4 0.779 4 0.782 3 0.785 2
0.8 0.788 1 0.791 0 0.793 9 0.796 7 0.799 5 0.802 3 0.805 1 0.807 8 0.810 6 0.813 3
0.9 0.815 9 0.818 6 0.821 2 0.823 8 0.826 4 0.828 9 0.835 5 0.834 0 0.836 5 0.838 9
1 0.841 3 0.843 8 0.846 1 0.848 5 0.850 8 0.853 1 0.855 4 0.857 7 0.859 9 0.862 1
1.1 0.864 3 0.866 5 0.868 6 0.870 8 0.872 9 0.874 9 0.877 0 0.879 0 0.881 0 0.883 0
1.2 0.884 9 0.886 9 0.888 8 0.890 7 0.892 5 0.894 4 0.896 2 0.898 0 0.899 7 0.901 5
1.3 0.903 2 0.904 9 0.906 6 0.908 2 0.909 9 0.911 5 0.913 1 0.914 7 0.916 2 0.917 7
1.4 0.919 2 0.920 7 0.922 2 0.923 6 0.925 1 0.926 5 0.927 9 0.929 2 0.930 6 0.931 9
1.5 0.933 2 0.934 5 0.935 7 0.937 0 0.938 2 0.939 4 0.940 6 0.941 8 0.943 0 0.944 1
1.6 0.945 2 0.946 3 0.947 4 0.948 4 0.949 5 0.950 5 0.951 5 0.952 5 0.953 5 0.953 5
1.7 0.955 4 0.956 4 0.957 3 0.958 2 0.959 1 0.959 9 0.960 8 0.961 6 0.962 5 0.963 3
1.8 0.964 1 0.964 8 0.965 6 0.966 4 0.967 2 0.967 8 0.968 6 0.969 3 0.970 0 0.970 6
1.9 0.971 3 0.971 9 0.972 6 0.973 2 0.973 8 0.974 4 0.975 0 0.975 6 0.976 2 0.976 7
2 0.977 2 0.977 8 0.978 3 0.978 8 0.979 3 0.979 8 0.980 3 0.980 8 0.981 2 0.981 7
2.1 0.982 1 0.982 6 0.983 0 0.983 4 0.983 8 0.984 2 0.984 6 0.985 0 0.985 4 0.985 7
2.2 0.986 1 0.986 4 0.986 8 0.987 1 0.987 4 0.987 8 0.988 1 0.988 4 0.988 7 0.989 0
2.3 0.989 3 0.989 6 0.989 8 0.990 1 0.990 4 0.990 6 0.990 9 0.991 1 0.991 3 0.991 6
2.4 0.991 8 0.992 0 0.992 2 0.992 5 0.992 7 0.992 9 0.993 1 0.993 2 0.993 4 0.993 6
2.5 0.993 8 0.994 0 0.994 1 0.994 3 0.994 5 0.994 6 0.994 8 0.994 9 0.995 1 0.995 2
2.6 0.995 3 0.995 5 0.995 6 0.995 7 0.995 9 0.996 0 0.996 1 0.996 2 0.996 3 0.996 4
2.7 0.996 5 0.996 6 0.996 7 0.996 8 0.996 9 0.997 0 0.997 1 0.997 2 0.997 3 0.997 4
2.8 0.997 4 0.997 5 0.997 6 0.997 7 0.997 7 0.997 8 0.997 9 0.997 9 0.998 0 0.998 1
2.9 0.998 1 0.998 2 0.998 2 0.998 3 0.998 4 0.998 4 0.998 5 0.998 5 0.998 6 0.998 6
x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
3 0.998 7 0.999 0 0.999 3 0.999 5 0.999 7 0.999 8 0.999 8 0.999 9 0.999 9 1.000 0
正态分布概率表
Φ( u ) = .精品.
标准正态分布-Z值表
0.000.010.020.030.040.050.060.070.080.09
0.00.500000.496010.492020.488030.484050.480060.476080.472100.468120.46414
0.10.460170.456200.452240.448280.444330.440380.436440.432510.428580.42465
0.20.420740.416830.412940.409050.405170.401290.397430.393580.389740.38591
0.30.382090.378280.374480.370700.366930.363170.359420.355690.351970.34827
0.40.344580.340900.337240.333600.329970.326360.322760.319180.315610.31207
0.50.308540.305030.301530.298060.294600.291160.287740.284340.280960.27760
0.60.274250.270930.267630.264350.261090.257850.254630.251430.248250.24510
0.70.241960.238850.235760.232700.229650.226630.223630.220650.217700.21476
0.80.211860.208970.206110.203270.200450.197660.194890.192150.189430.18673
0.90.184060.181410.178790.176190.173610.171060.168530.166020.163540.16109
1.00.158660.156250.153860.151510.149170.146860.144570.142310.140070.13786
标准正态分布表
φ(x) x x00.50.5040.5080.512
0.5160.51990.52390.52790.53190.53590.1
0.5398
0.54380.54780.55170.55570.55960.56360.56750.57140.57530.20.57930.58320.58710.5910.59480.59870.60260.60640.61030.61410.30.61790.62170.62550.62930.63310.63680.64060.64430.6480.65170.40.65540.65910.66280.66640.670.67360.67720.68080.68440.68790.50.69150.6950.69850.70190.70540.70880.71230.71570.7190.72240.60.72570.72910.73240.73570.73890.74220.74540.74860.75170.75490.70.7580.76110.76420.76730.77030.77340.77640.77940.78230.78520.80.78810.7910.79390.79670.79950.80230.80510.80780.81060.81330.90.81590.81860.82120.82380.82640.82890.83150.8340.83650.838910.84130.84380.84610.84850.85080.85310.85540.85770.85990.86211.10.86430.86650.86860.87080.87290.87490.8770.8790.8810.8831.20.88490.88690.88880.89070.89250.89440.89620.8980.89970.90151.30.90320.90490.90660.90820.90990.91150.91310.91470.91620.91771.40.91920.92070.92220.92360.92510.92650.92780.92920.93060.93191.50.93320.93450.93570.9370.93820.93940.94060.94180.9430.94411.60.94520.94630.94740.94840.94950.95050.95150.95250.95350.95451.70.95540.95640.95730.95820.95910.95990.96080.96160.96250.96331.80.96410.96480.96560.96640.96710.96780.96860.96930.970.97061.90.97130.97190.97260.97320.97380.97440.9750.97560.97620.976720.97720.97780.97830.97880.97930.97980.98030.98080.98120.98172.10.98210.98260.9830.98340.98380.98420.98460.9850.98540.98572.20.98610.98640.98680.98710.98740.98780.98810.98840.98870.9892.30.98930.98960.98980.99010.99040.99060.99090.99110.99130.99162.40.99180.9920.99220.99250.99270.99290.99310.99320.99340.99362.50.99380.9940.99410.99430.99450.99460.99480.99490.99510.99522.60.99530.99550.99560.99570.99590.9960.99610.99620.99630.99642.70.99650.99660.99670.99680.99690.9970.99710.99720.99730.99742.80.99740.99750.99760.99770.99770.99780.99790.99790.9980.99812.90.99810.99820.99820.99830.99840.99840.99850.99850.99860.998630.99870.9990.99930.99950.99970.99980.99980.99990.999913.10.9990320.9990650.9990960.9991260.9991550.9991840.9992110.9992380.9992640.9992893.20.9993130.9993360.9993590.9993810.9994020.9994230.9994430.9994620.9994810.9994993.30.9995170.9995340.9995500.9995660.9995810.9995960.9996100.9996240.9996380.9996603.40.9996630.9996750.9996870.9996980.9997090.9997200.9997300.9997400.9997490.9997603.50.9997670.9997760.9997840.9997920.9998000.9998070.9998150.9998220.9998280.9998853.60.9998410.9998470.9998530.9998580.9998640.9998690.9998740.9998790.9998830.9998803.70.9998920.9998960.9999000.9999040.9999080.9999120.9999150.9999180.9999220.9999263.80.9999280.9999310.9999330.9999360.9999380.9999410.9999430.9999460.9999480.9999503.90.9999520.9999540.9999560.9999580.9999590.9999610.9999630.9999640.9999660.99996740.9999680.9999700.9999710.9999720.9999730.9999740.9999750.9999760.9999770.9999784.10.9999790.9999800.9999810.9999820.9999830.9999830.9999840.9999850.9999850.9999864.20.9999870.9999870.9999880.9999880.9999890.9999890.9999900.9999900.9999910.9999914.30.9999910.9999920.9999920.9999300.9999930.9999930.9999930.9999940.9999940.9999944.40.9999950.9999950.9999950.9999950.9999960.9999960.9999961.0000000.9999960.9999964.50.9999970.9999970.9999970.9999970.9999970.9999970.9999970.9999980.9999980.9999984.60.9999980.9999980.9999980.9999980.9999980.9999980.9999980.9999980.9999990.9999994.70.9999990.9999990.9999990.9999990.9999990.9999990.9999990.9999990.9999990.9999994.80.9999990.9999990.9999990.9999990.9999990.9999990.9999990.9999990.9999990.9999994.91.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000000.040.050.060.07标准正态分布函数表(形式1)
标准正态分布表 2
标准正态分布表
0.000.010.020.030.040.050.060.070.080.09
0.00.50000.50400.50800.51200.51600.51990.52390.52790.53190.5359
0.10.53980.54380.54780.55170.55570.55960.56360.56750.57140.5753
0.20.57930.58320.58710.59100.59480.59870.60260.60640.61030.6141
0.30.61790.62170.62550.62930.63310.63680.64060.64430.64800.6517
0.40.65540.65910.66280.66640.67000.67360.67720.68080.68440.6879
0.50.69150.69500.69850.70190.70540.70880.71230.71570.71900.7224
0.60.72570.72910.73240.73570.73890.74220.74540.74860.75170.7549
0.70.75800.76110.76420.76730.77040.77340.77640.77940.78230.7852
0.80.78810.79100.79390.79670.79950.80230.80510.80780.81060.8133
0.90.81590.81860.82120.82380.82640.82890.83150.83400.83650.8389
1.00.84130.84380.84610.84850.85080.85310.85540.85770.85990.8621
1.10.86430.86650.86860.87080.87290.87490.87700.87900.88100.8830
1.20.88490.88690.88880.89070.89250.89440.89620.89800.89970.9015
标准正态分布表正式版
标准正态分布表正式版
标准正态分布表
φ( - x ) = 1 –φ( x )(请暂时忽略此公式)
t
x 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0 0.500 0 0.504 0 0.508 0 0.512 0 0.516 0 0.519 9 0.523 9 0.527 9 0.531 9 0.535 9
0.1 0.539 8 0.543 8 0.547 8 0.551 7 0.555 7 0.559 6 0.563 6 0.567 5 0.571 4 0.575 3
0.2 0.579 3 0.583 2 0.587 1 0.591 0 0.594 8 0.598 7 0.602 6 0.606 4 0.610 3 0.614 1
0.3 0.617 9 0.621 7 0.625 5 0.629 3 0.633 1 0.636 8 0.640 4 0.644 3 0.648 0 0.651 7
0.4 0.655 4 0.659 1 0.662 8 0.666 4 0.670 0 0.673 6 0.677 2 0.680 8 0.684 4 0.687 9
0.5 0.691 5 0.695 0 0.698 5 0.701 9 0.705 4 0.708 8 0.712 3 0.715 7 0.719 0 0.722 4
0.6 0.725 7 0.729 1 0.732 4 0.735 7 0.738 9 0.742 2 0.745 4 0.748 6 0.751 7 0.754 9
0.7 0.758 0 0.761 1 0.764 2 0.767 3 0.770 3 0.773 4 0.776 4 0.779 4 0.782 3 0.785 2
0.8 0.788 1 0.791 0 0.793 9 0.796 7 0.799 5 0.802 3 0.805 1 0.807 8 0.810 6 0.813 3
标准正态分布表 3
标准正态分布表
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9 0.500 0
0.539 8
0.579 3
0.617 9
0.655 4
0.691 5
0.725 7
0.758 0
0.788 1
0.815 9
0.841 3
0.864 3
0.884 9
0.903 2
0.919 2
0.933 2
0.945 2
0.955 4
0.964 1
0.971 3
0.977 2
0.982 1
0.986 1
0.989 3
0.991 8
0.993 8
0.995 3
0.996 5
0.997 4
0.998 1 0.504 0
0.543 8
0.583 2
0.621 7
0.659 1
0.695 0
0.729 1
0.761 1
0.791 0
0.818 6
0.843 8
0.866 5
0.886 9
0.904 9
0.920 7
0.934 5
0.946 3
0.956 4
0.964 8
0.971 9
0.977 8
0.982 6
0.986 4
0.989 6
0.992 0
0.994 0
0.995 5
0.996 6
0.997 5
0.998 2 0.508 0
0.547 8
0.587 1
0.625 5
0.662 8
0.698 5
0.732 4
0.764 2
0.793 9
0.821 2
0.846 1
0.868 6
0.888 8
0.906 6
0.922 2
0.935 7
0.947 4
0.957 3
0.965 6
标准正态分布函数表
标准正态分布表
x 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3 0.500
0
0.539
8
0.579
3
0.617
9
0.655
4
0.691
5
0.725
7
0.758 0.504
0
0.543
8
0.583
2
0.621
7
0.659
1
0.695
0
0.729
1
0.761 0.508
0
0.547
8
0.587
1
0.625
5
0.662
8
0.698
5
0.732
4
0.764 0.512
0
0.551
7
0.591
0
0.629
3
0.666
4
0.701
9
0.735
7
0.767 0.516
0
0.555
7
0.594
8
0.633
1
0.670
0
0.705
4
0.738
9
0.770 0.519
9
0.559
6
0.598
7
0.636
8
0.673
6
0.708
8
0.742
2
0.773 0.523
9
0.563
6
0.602
6
0.640
4
0.677
2
0.712
3
0.745
4
0.776 0.527
9
0.567
5
0.606
4
0.644
3
0.680
8
0.715
7
0.748
6
0.779 0.531
9
0.571
4
0.610
3
0.648
0
0.684
4
0.719
0
0.751
7
0.782 0.535
9
0.575
3
0.614
1
0.651
7
0.687
9
0.722
4
0.754
9
0.785
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9 0
0.788
标准正态分布表 4
标准正态分布表
φ( - x ) = 1 –φ( x )
x 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0 0.500 0 0.504 0 0.508 0 0.512 0 0.516 0 0.519 9 0.523 9 0.527 9 0.531 9 0.535 9
0.1 0.539 8 0.543 8 0.547 8 0.551 7 0.555 7 0.559 6 0.563 6 0.567 5 0.571 4 0.575 3
0.2 0.579 3 0.583 2 0.587 1 0.591 0 0.594 8 0.598 7 0.602 6 0.606 4 0.610 3 0.614 1
0.3 0.617 9 0.621 7 0.625 5 0.629 3 0.633 1 0.636 8 0.640 4 0.644 3 0.648 0 0.651 7
0.4 0.655 4 0.659 1 0.662 8 0.666 4 0.670 0 0.673 6 0.677 2 0.680 8 0.684 4 0.687 9
0.5 0.691 5 0.695 0 0.698 5 0.701 9 0.705 4 0.708 8 0.712 3 0.715 7 0.719 0 0.722 4
0.6 0.725 7 0.729 1 0.732 4 0.735 7 0.738 9 0.742 2 0.745 4 0.748 6 0.751 7 0.754 9
0.7 0.758 0 0.761 1 0.764 2 0.767 3 0.770 3 0.773 4 0.776 4 0.779 4 0.782 3 0.785 2
0.8 0.788 1 0.791 0 0.793 9 0.796 7 0.799 5 0.802 3 0.805 1 0.807 8 0.810 6 0.813 3
标准正态分布查询表
附表1。 标准正态分布表
x 0.00 0。01 0。02 0.03 0。04 0。05 0。06 0。07 0.08 0.09
0。0
0。1
0。2
0.3
0。4
0。5
0.6
0。7
0。8
0。9
1。0
1。1
1。2
1。3
1。4
1。5
1。6
1.7
1.8
1。9
2.0
2。1
2.2
2。3
2.4
2。5
2.6
2。7
2。8
2.9 0.500 0
0。539 8
0。579 3
0.617 9
0。655 4
0.691 5
0.725 7
0。758 0
0.788 1
0.815 9
0。841 3
0。864 3
0。884 9
0。903 2
0。919 2
0。933 2
0。945 2
0。955 4
0.964 1
0。971 3
0.977 2
0.982 1
0。986 1
0.989 3
0。991 8
0.993 8
0.995 3
0。996 5
0.997 4
0。998 1 0。504 0
0。543 8
0。583 2
0.621 7
0。659 1
0。695 0
0。729 1
0。761 1
0.791 0
0.818 6
0.843 8
0。866 5
0。886 9
0。904 9
0.920 7
0.934 5
0。946 3
0。956 4
0。964 8
0。971 9
0。977 8
0.982 6
0.986 4
0。989 6
0。992 0
0.994 0
0.995 5
0。996 6
0。997 5
0。998 2 0.508 0
0。547 8
0。587 1
0。625 5
0.662 8
0。698 5
0.732 4
0。764 2
0.793 9
0.821 2
0.846 1
0.868 6
0.888 8
0。906 6
0。922 2
0。935 7
0。947 4
0。957 3
0。965 6
正态分布表三位小数
正态分布表三位小数
正态分布表是一种用于计算标准正态分布的累积概率的工具。由于正态分布是概率密度函数,计算其累积概率是一个复杂的数学问题,因此通常使用正态分布表来查找已经计算好的数值。
正态分布表通常给出了标准正态分布的累积概率值。这些值是对应于不同的Z-score(标准差单位)的概率,可以用来计算在一个给定范围内的概率。
以下是一个示例正态分布表的部分内容:
Z-score 累积概率
-3.00 0.001
-2.99 0.002
-2.98 0.003
-2.97 0.004
...
0.00 0.500
0.01 0.504
0.02 0.508
0.03 0.512
...
3.00 0.997
3.01 0.998
3.02 0.999
3.03 0.999
在实际应用中,可以使用正态分布表来查找指定Z-score对应的累积概率的值。例如,如果想知道Z-score为1.96(对应于95%的置信水平)的累积概率,则可以在表中查找到0.975。
需要注意的是,正态分布表通常给出的累积概率是到指定Z-score的右侧的概率。如果需要计算到左侧的概率,可以使用1减去右侧的累积概率值。
由于正态分布的计算非常复杂,为了提高计算效率,很多统计软件和计算机软件都提供了计算正态分布概率的函数,可以直接使用这些函数来进行计算,而无需使用正态分布表。
标准正态分布表 5
z0123456780.00.50000.50400.50800.51200.51600.51990.52390.52790.5319
0.10.53980.54380.54780.55170.55570.55960.56360.56750.5714
0.20.57930.58320.58710.59100.59480.59870.60260.60640.6103
0.30.61790.62170.62550.62930.63310.63680.64060.64430.6480
0.40.65540.65910.66280.66640.67000.67360.67720.68080.6844
0.50.69150.69500.69850.70190.70540.70880.71230.71570.7190
0.60.72570.72910.73240.73570.73890.74220.74540.74860.7517
0.70.75800.76110.76420.76730.77040.77340.77640.77940.7823
0.80.78810.79100.79390.79670.79950.80230.80510.80780.8106
0.90.81590.81860.82120.82380.82640.82890.83150.83400.8365
1.00.84130.84380.84610.84850.85080.85310.85540.85770.8599
1.10.86430.86650.86860.87080.87290.87490.87700.87900.8810
1.20.88490.88690.88880.89070.89250.89440.89620.89800.8997
1.30.90320.90490.90660.90820.90990.91150.91310.91470.9162
1.40.91920.92070.92220.92360.92510.92650.92790.92920.9306
