Standard Normal Distribution Table

This is the "bell-shaped" curve of the Standard Normal Distribution.
It is a Normal Distribution with mean 0 and standard deviation 1.

It shows you the percent of population:

It only display values to 0.01%

The Table

You can also use the table below. The table shows the area from 0 to Z.

Instead of one LONG table, we have put the "0.1"s running down, then the "0.01"s running along. (Example of how to use is below)

Z0.000.010.020.030.040.050.060.070.080.09
0.00.00000.00400.00800.01200.01600.01990.02390.02790.03190.0359
0.10.03980.04380.04780.05170.05570.05960.06360.06750.07140.0753
0.20.07930.08320.08710.09100.09480.09870.10260.10640.11030.1141
0.30.11790.12170.12550.12930.13310.13680.14060.14430.14800.1517
0.40.15540.15910.16280.16640.17000.17360.17720.18080.18440.1879
0.50.19150.19500.19850.20190.20540.20880.21230.21570.21900.2224
0.60.22570.22910.23240.23570.23890.24220.24540.24860.25170.2549
0.70.25800.26110.26420.26730.27040.27340.27640.27940.28230.2852
0.80.28810.29100.29390.29670.29950.30230.30510.30780.31060.3133
0.90.31590.31860.32120.32380.32640.32890.33150.33400.33650.3389
1.00.34130.34380.34610.34850.35080.35310.35540.35770.35990.3621
1.10.36430.36650.36860.37080.37290.37490.37700.37900.38100.3830
1.20.38490.38690.38880.39070.39250.39440.39620.39800.39970.4015
1.30.40320.40490.40660.40820.40990.41150.41310.41470.41620.4177
1.40.41920.42070.42220.42360.42510.42650.42790.42920.43060.4319
1.50.43320.43450.43570.43700.43820.43940.44060.44180.44290.4441
1.60.44520.44630.44740.44840.44950.45050.45150.45250.45350.4545
1.70.45540.45640.45730.45820.45910.45990.46080.46160.46250.4633
1.80.46410.46490.46560.46640.46710.46780.46860.46930.46990.4706
1.90.47130.47190.47260.47320.47380.47440.47500.47560.47610.4767
2.00.47720.47780.47830.47880.47930.47980.48030.48080.48120.4817
2.10.48210.48260.48300.48340.48380.48420.48460.48500.48540.4857
2.20.48610.48640.48680.48710.48750.48780.48810.48840.48870.4890
2.30.48930.48960.48980.49010.49040.49060.49090.49110.49130.4916
2.40.49180.49200.49220.49250.49270.49290.49310.49320.49340.4936
2.50.49380.49400.49410.49430.49450.49460.49480.49490.49510.4952
2.60.49530.49550.49560.49570.49590.49600.49610.49620.49630.4964
2.70.49650.49660.49670.49680.49690.49700.49710.49720.49730.4974
2.80.49740.49750.49760.49770.49770.49780.49790.49790.49800.4981
2.90.49810.49820.49820.49830.49840.49840.49850.49850.49860.4986
3.00.49870.49870.49870.49880.49880.49890.49890.49890.49900.4990

 

Example: Percent of Population Between 0 and 0.45

standard normal distribution 0.45 = 0.1736

Start at the row for 0.4, and read along until 0.45: there is the value 0.1736

And 0.1736 is 17.36%

So 17.36% of the population are between 0 and 0.45 Standard Deviations from the Mean.

Because the curve is symmetrical, the same table can be used for values going either direction, so a negative 0.45 also has an area of 0.1736

Example: Percent of Population Z Between -1 and 2

standard normal distribution -1 to +2

From −1 to 0 is the same as from 0 to +1:

At the row for 1.0, first column 1.00, there is the value 0.3413

From 0 to +2 is:

At the row for 2.0, first column 2.00, there is the value 0.4772

Add the two to get the total between -1 and 2:

0.3413 + 0.4772 = 0.8185

And 0.8185 is 81.85%

So 81.85% of the population are between -1 and +2 Standard Deviations from the Mean.