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Normal Distribution Info, Lecture notes of Statistics

Columbia University in the City of New YorkStatistics

a normal distribution table for measuring the Z-statistic

Typology: Lecture notes

2018/2019

Uploaded on 11/10/2019

alexalaexlx999
alexalaexlx999 🇺🇸

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STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.
Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
-3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00004 .00003 .00 003
-3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 .00005 .00 005
-3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 .00008 .00008 .00 008
-3.6 .00016 .00015 .00015 .00014 .00014 .00013 .00013 .00012 .00012 .00 011
-3.5 .00023 .00022 .00022 .00021 .00020 .00019 .00019 .00018 .00017 .00 017
-3.4 .00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025 .00 024
-3.3 .00048 .00047 .00045 .00043 .00042 .00040 .00039 .00038 .00036 .00 035
-3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 .00 050
-3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 .00 071
-3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 .00100
-2.9 .00187 .00181 .00175 .00169 .00164 .00159 .00154 .00149 .00144 .00 139
-2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 .00 193
-2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 .00 264
-2.6 .00466 .00453 .00440 .00427 .00415 .00402 .00391 .00379 .00368 .00 357
-2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494 .00 480
-2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657 .00 639
-2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .00 842
-2.2 .01390 .01355 .01321 .01287 .01255 .01222 .01191 .01160 .01130 .01 101
-2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .01 426
-2.0 .02275 .02222 .02169 .02118 .02068 .02018 .01970 .01923 .01876 .01 831
-1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 .02385 .02 330
-1.8 .03593 .03515 .03438 .03362 .03288 .03216 .03144 .03074 .03005 .02 938
-1.7 .04457 .04363 .04272 .04182 .04093 .04006 .03920 .03836 .03754 .03 673
-1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 .04746 .04648 .04 551
-1.5 .06681 .06552 .06426 .06301 .06178 .06057 .05938 .05821 .05705 .05 592
-1.4 .08076 .07927 .07780 .07636 .07493 .07353 .07215 .07078 .06944 .06 811
-1.3 .09680 .09510 .09342 .09176 .09012 .08851 .08691 .08534 .08379 .08 226
-1.2 .11507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027 .09 853
-1.1 .13567 .13350 .13136 .12924 .12714 .12507 .12302 .12100 .11900 .11 702
-1.0 .15866 .15625 .15386 .15151 .14917 .14686 .14457 .14231 .14007 .13 786
-0.9 .18406 .18141 .17879 .17619 .17361 .17106 .16853 .16602 .16354 .16 109
-0.8 .21186 .20897 .20611 .20327 .20045 .19766 .19489 .19215 .18943 .18 673
-0.7 .24196 .23885 .23576 .23270 .22965 .22663 .22363 .22065 .21770 .21 476
-0.6 .27425 .27093 .26763 .26435 .26109 .25785 .25463 .25143 .24825 .24 510
-0.5 .30854 .30503 .30153 .29806 .29460 .29116 .28774 .28434 .28096 .27 760
-0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561 .31 207
-0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 .34 827
-0.2 .42074 .41683 .41294 .40905 .40517 .40129 .39743 .39358 .38974 .38 591
-0.1 .46017 .45620 .45224 .44828 .44433 .44038 .43644 .43251 .42858 .42 465
-0.0 .50000 .49601 .49202 .48803 .48405 .48006 .47608 .47210 .46812 .46 414
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STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.

  • Z .00 .01 .02 .03 .04 .05 .06 .07 .08.
  • -3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00004 .00003.
  • -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 .00005.
  • -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 .00008 .00008.
  • -3.6 .00016 .00015 .00015 .00014 .00014 .00013 .00013 .00012 .00012.
  • -3.5 .00023 .00022 .00022 .00021 .00020 .00019 .00019 .00018 .00017.
  • -3.4 .00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025.
  • -3.3 .00048 .00047 .00045 .00043 .00042 .00040 .00039 .00038 .00036.
  • -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052.
  • -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074.
  • -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104.
  • -2.9 .00187 .00181 .00175 .00169 .00164 .00159 .00154 .00149 .00144.
  • -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199.
  • -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272.
  • -2.6 .00466 .00453 .00440 .00427 .00415 .00402 .00391 .00379 .00368.
  • -2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494.
  • -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657.
  • -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866.
  • -2.2 .01390 .01355 .01321 .01287 .01255 .01222 .01191 .01160 .01130.
  • -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463.
  • -2.0 .02275 .02222 .02169 .02118 .02068 .02018 .01970 .01923 .01876.
  • -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 .02385.
  • -1.8 .03593 .03515 .03438 .03362 .03288 .03216 .03144 .03074 .03005.
  • -1.7 .04457 .04363 .04272 .04182 .04093 .04006 .03920 .03836 .03754.
  • -1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 .04746 .04648.
  • -1.5 .06681 .06552 .06426 .06301 .06178 .06057 .05938 .05821 .05705.
  • -1.4 .08076 .07927 .07780 .07636 .07493 .07353 .07215 .07078 .06944.
  • -1.3 .09680 .09510 .09342 .09176 .09012 .08851 .08691 .08534 .08379.
  • -1.2 .11507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027.
  • -1.1 .13567 .13350 .13136 .12924 .12714 .12507 .12302 .12100 .11900.
  • -1.0 .15866 .15625 .15386 .15151 .14917 .14686 .14457 .14231 .14007.
  • -0.9 .18406 .18141 .17879 .17619 .17361 .17106 .16853 .16602 .16354.
  • -0.8 .21186 .20897 .20611 .20327 .20045 .19766 .19489 .19215 .18943.
  • -0.7 .24196 .23885 .23576 .23270 .22965 .22663 .22363 .22065 .21770.
  • -0.6 .27425 .27093 .26763 .26435 .26109 .25785 .25463 .25143 .24825.
  • -0.5 .30854 .30503 .30153 .29806 .29460 .29116 .28774 .28434 .28096.
  • -0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561.
  • -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197.
  • -0.2 .42074 .41683 .41294 .40905 .40517 .40129 .39743 .39358 .38974.
  • -0.1 .46017 .45620 .45224 .44828 .44433 .44038 .43644 .43251 .42858.
  • -0.0 .50000 .49601 .49202 .48803 .48405 .48006 .47608 .47210 .46812.
    • Z .00 .01 .02 .03 .04 .05 .06 .07 .08. STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.
  • 0.0 .50000 .50399 .50798 .51197 .51595 .51994 .52392 .52790 .53188.
  • 0.1 .53983 .54380 .54776 .55172 .55567 .55962 .56356 .56749 .57142.
  • 0.2 .57926 .58317 .58706 .59095 .59483 .59871 .60257 .60642 .61026.
  • 0.3 .61791 .62172 .62552 .62930 .63307 .63683 .64058 .64431 .64803.
  • 0.4 .65542 .65910 .66276 .66640 .67003 .67364 .67724 .68082 .68439.
  • 0.5 .69146 .69497 .69847 .70194 .70540 .70884 .71226 .71566 .71904.
  • 0.6 .72575 .72907 .73237 .73565 .73891 .74215 .74537 .74857 .75175.
  • 0.7 .75804 .76115 .76424 .76730 .77035 .77337 .77637 .77935 .78230.
  • 0.8 .78814 .79103 .79389 .79673 .79955 .80234 .80511 .80785 .81057.
  • 0.9 .81594 .81859 .82121 .82381 .82639 .82894 .83147 .83398 .83646.
  • 1.0 .84134 .84375 .84614 .84849 .85083 .85314 .85543 .85769 .85993.
  • 1.1 .86433 .86650 .86864 .87076 .87286 .87493 .87698 .87900 .88100.
  • 1.2 .88493 .88686 .88877 .89065 .89251 .89435 .89617 .89796 .89973.
  • 1.3 .90320 .90490 .90658 .90824 .90988 .91149 .91309 .91466 .91621.
  • 1.4 .91924 .92073 .92220 .92364 .92507 .92647 .92785 .92922 .93056.
  • 1.5 .93319 .93448 .93574 .93699 .93822 .93943 .94062 .94179 .94295.
  • 1.6 .94520 .94630 .94738 .94845 .94950 .95053 .95154 .95254 .95352.
  • 1.7 .95543 .95637 .95728 .95818 .95907 .95994 .96080 .96164 .96246.
  • 1.8 .96407 .96485 .96562 .96638 .96712 .96784 .96856 .96926 .96995.
  • 1.9 .97128 .97193 .97257 .97320 .97381 .97441 .97500 .97558 .97615.
  • 2.0 .97725 .97778 .97831 .97882 .97932 .97982 .98030 .98077 .98124.
  • 2.1 .98214 .98257 .98300 .98341 .98382 .98422 .98461 .98500 .98537.
  • 2.2 .98610 .98645 .98679 .98713 .98745 .98778 .98809 .98840 .98870.
  • 2.3 .98928 .98956 .98983 .99010 .99036 .99061 .99086 .99111 .99134.
  • 2.4 .99180 .99202 .99224 .99245 .99266 .99286 .99305 .99324 .99343.
  • 2.5 .99379 .99396 .99413 .99430 .99446 .99461 .99477 .99492 .99506.
  • 2.6 .99534 .99547 .99560 .99573 .99585 .99598 .99609 .99621 .99632.
  • 2.7 .99653 .99664 .99674 .99683 .99693 .99702 .99711 .99720 .99728.
  • 2.8 .99744 .99752 .99760 .99767 .99774 .99781 .99788 .99795 .99801.
  • 2.9 .99813 .99819 .99825 .99831 .99836 .99841 .99846 .99851 .99856.
  • 3.0 .99865 .99869 .99874 .99878 .99882 .99886 .99889 .99893 .99896.
  • 3.1 .99903 .99906 .99910 .99913 .99916 .99918 .99921 .99924 .99926.
  • 3.2 .99931 .99934 .99936 .99938 .99940 .99942 .99944 .99946 .99948.
  • 3.3 .99952 .99953 .99955 .99957 .99958 .99960 .99961 .99962 .99964.
  • 3.4 .99966 .99968 .99969 .99970 .99971 .99972 .99973 .99974 .99975.
  • 3.5 .99977 .99978 .99978 .99979 .99980 .99981 .99981 .99982 .99983.
  • 3.6 .99984 .99985 .99985 .99986 .99986 .99987 .99987 .99988 .99988.
  • 3.7 .99989 .99990 .99990 .99990 .99991 .99991 .99992 .99992 .99992.
  • 3.8 .99993 .99993 .99993 .99994 .99994 .99994 .99994 .99995 .99995.
  • 3.9 .99995 .99995 .99996 .99996 .99996 .99996 .99996 .99996 .99997.