9.3. Z-Score Chart#
The following chart contains an estimation of the probability area under the normal curve based on z-score.
Area under the Normal Curve from 0 to X#
X |
0.00 |
0.01 |
0.02 |
0.03 |
0.04 |
0.05 |
0.06 |
0.07 |
0.08 |
0.09 |
---|---|---|---|---|---|---|---|---|---|---|
0.0 |
0.00000 |
0.00399 |
0.00798 |
0.01197 |
0.01595 |
0.01994 |
0.02392 |
0.02790 |
0.03188 |
0.03586 |
0.1 |
0.03983 |
0.04380 |
0.04776 |
0.05172 |
0.05567 |
0.05962 |
0.06356 |
0.06749 |
0.07142 |
0.07535 |
0.2 |
0.07926 |
0.08317 |
0.08706 |
0.09095 |
0.09483 |
0.09871 |
0.10257 |
0.10642 |
0.11026 |
0.11409 |
0.3 |
0.11791 |
0.12172 |
0.12552 |
0.12930 |
0.13307 |
0.13683 |
0.14058 |
0.14431 |
0.14803 |
0.15173 |
0.4 |
0.15542 |
0.15910 |
0.16276 |
0.16640 |
0.17003 |
0.17364 |
0.17724 |
0.18082 |
0.18439 |
0.18793 |
0.5 |
0.19146 |
0.19497 |
0.19847 |
0.20194 |
0.20540 |
0.20884 |
0.21226 |
0.21566 |
0.21904 |
0.22240 |
0.6 |
0.22575 |
0.22907 |
0.23237 |
0.23565 |
0.23891 |
0.24215 |
0.24537 |
0.24857 |
0.25175 |
0.25490 |
0.7 |
0.25804 |
0.26115 |
0.26424 |
0.26730 |
0.27035 |
0.27337 |
0.27637 |
0.27935 |
0.28230 |
0.28524 |
0.8 |
0.28814 |
0.29103 |
0.29389 |
0.29673 |
0.29955 |
0.30234 |
0.30511 |
0.30785 |
0.31057 |
0.31327 |
0.9 |
0.31594 |
0.31859 |
0.32121 |
0.32381 |
0.32639 |
0.32894 |
0.33147 |
0.33398 |
0.33646 |
0.33891 |
1.0 |
0.34134 |
0.34375 |
0.34614 |
0.34849 |
0.35083 |
0.35314 |
0.35543 |
0.35769 |
0.35993 |
0.36214 |
1.1 |
0.36433 |
0.36650 |
0.36864 |
0.37076 |
0.37286 |
0.37493 |
0.37698 |
0.37900 |
0.38100 |
0.38298 |
1.2 |
0.38493 |
0.38686 |
0.38877 |
0.39065 |
0.39251 |
0.39435 |
0.39617 |
0.39796 |
0.39973 |
0.40147 |
1.3 |
0.40320 |
0.40490 |
0.40658 |
0.40824 |
0.40988 |
0.41149 |
0.41308 |
0.41466 |
0.41621 |
0.41774 |
1.4 |
0.41924 |
0.42073 |
0.42220 |
0.42364 |
0.42507 |
0.42647 |
0.42785 |
0.42922 |
0.43056 |
0.43189 |
1.5 |
0.43319 |
0.43448 |
0.43574 |
0.43699 |
0.43822 |
0.43943 |
0.44062 |
0.44179 |
0.44295 |
0.44408 |
1.6 |
0.44520 |
0.44630 |
0.44738 |
0.44845 |
0.44950 |
0.45053 |
0.45154 |
0.45254 |
0.45352 |
0.45449 |
1.7 |
0.45543 |
0.45637 |
0.45728 |
0.45818 |
0.45907 |
0.45994 |
0.46080 |
0.46164 |
0.46246 |
0.46327 |
1.8 |
0.46407 |
0.46485 |
0.46562 |
0.46638 |
0.46712 |
0.46784 |
0.46856 |
0.46926 |
0.46995 |
0.47062 |
1.9 |
0.47128 |
0.47193 |
0.47257 |
0.47320 |
0.47381 |
0.47441 |
0.47500 |
0.47558 |
0.47615 |
0.47670 |
2.0 |
0.47725 |
0.47778 |
0.47831 |
0.47882 |
0.47932 |
0.47982 |
0.48030 |
0.48077 |
0.48124 |
0.48169 |
2.1 |
0.48214 |
0.48257 |
0.48300 |
0.48341 |
0.48382 |
0.48422 |
0.48461 |
0.48500 |
0.48537 |
0.48574 |
2.2 |
0.48610 |
0.48645 |
0.48679 |
0.48713 |
0.48745 |
0.48778 |
0.48809 |
0.48840 |
0.48870 |
0.48899 |
2.3 |
0.48928 |
0.48956 |
0.48983 |
0.49010 |
0.49036 |
0.49061 |
0.49086 |
0.49111 |
0.49134 |
0.49158 |
2.4 |
0.49180 |
0.49202 |
0.49224 |
0.49245 |
0.49266 |
0.49286 |
0.49305 |
0.49324 |
0.49343 |
0.49361 |
2.5 |
0.49379 |
0.49396 |
0.49413 |
0.49430 |
0.49446 |
0.49461 |
0.49477 |
0.49492 |
0.49506 |
0.49520 |
2.6 |
0.49534 |
0.49547 |
0.49560 |
0.49573 |
0.49585 |
0.49598 |
0.49609 |
0.49621 |
0.49632 |
0.49643 |
2.7 |
0.49653 |
0.49664 |
0.49674 |
0.49683 |
0.49693 |
0.49702 |
0.49711 |
0.49720 |
0.49728 |
0.49736 |
2.8 |
0.49744 |
0.49752 |
0.49760 |
0.49767 |
0.49774 |
0.49781 |
0.49788 |
0.49795 |
0.49801 |
0.49807 |
2.9 |
0.49813 |
0.49819 |
0.49825 |
0.49831 |
0.49836 |
0.49841 |
0.49846 |
0.49851 |
0.49856 |
0.49861 |
3.0 |
0.49865 |
0.49869 |
0.49874 |
0.49878 |
0.49882 |
0.49886 |
0.49889 |
0.49893 |
0.49896 |
0.49900 |
3.1 |
0.49903 |
0.49906 |
0.49910 |
0.49913 |
0.49916 |
0.49918 |
0.49921 |
0.49924 |
0.49926 |
0.49929 |
3.2 |
0.49931 |
0.49934 |
0.49936 |
0.49938 |
0.49940 |
0.49942 |
0.49944 |
0.49946 |
0.49948 |
0.49950 |
3.3 |
0.49952 |
0.49953 |
0.49955 |
0.49957 |
0.49958 |
0.49960 |
0.49961 |
0.49962 |
0.49964 |
0.49965 |
3.4 |
0.49966 |
0.49968 |
0.49969 |
0.49970 |
0.49971 |
0.49972 |
0.49973 |
0.49974 |
0.49975 |
0.49976 |
3.5 |
0.49977 |
0.49978 |
0.49978 |
0.49979 |
0.49980 |
0.49981 |
0.49981 |
0.49982 |
0.49983 |
0.49983 |
3.6 |
0.49984 |
0.49985 |
0.49985 |
0.49986 |
0.49986 |
0.49987 |
0.49987 |
0.49988 |
0.49988 |
0.49989 |
3.7 |
0.49989 |
0.49990 |
0.49990 |
0.49990 |
0.49991 |
0.49991 |
0.49992 |
0.49992 |
0.49992 |
0.49992 |
3.8 |
0.49993 |
0.49993 |
0.49993 |
0.49994 |
0.49994 |
0.49994 |
0.49994 |
0.49995 |
0.49995 |
0.49995 |
3.9 |
0.49995 |
0.49995 |
0.49996 |
0.49996 |
0.49996 |
0.49996 |
0.49996 |
0.49996 |
0.49997 |
0.49997 |
4.0 |
0.49997 |
0.49997 |
0.49997 |
0.49997 |
0.49997 |
0.49997 |
0.49998 |
0.49998 |
0.49998 |
0.49998 |