Table 6: Standard Normal Quantiles (Percentiles)



Standard normal quantiles are tabulated for p between 0.5 and 1. Look for the third decimal place of p in the first row.

Example: The 0.95-th and 0.975-th standard normal quantiles are 1.64485 and 1.95996, repectively.


p 0.000 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009
0.50 0.00000 0.00251 0.00501 0.00752 0.01003 0.01253 0.01504 0.01755 0.02005 0.02256
0.51 0.02507 0.02758 0.03008 0.03259 0.03510 0.03761 0.04012 0.04263 0.04513 0.04764
0.52 0.05015 0.05266 0.05517 0.05768 0.06019 0.06271 0.06522 0.06773 0.07024 0.07276
0.53 0.07527 0.07778 0.08030 0.08281 0.08533 0.08784 0.09036 0.09288 0.09540 0.09791
0.54 0.10043 0.10295 0.10547 0.10799 0.11052 0.11304 0.11556 0.11809 0.12061 0.12314
0.55 0.12566 0.12819 0.13072 0.13324 0.13577 0.13830 0.14084 0.14337 0.14590 0.14843
0.56 0.15097 0.15350 0.15604 0.15858 0.16112 0.16366 0.16620 0.16874 0.17129 0.17383
0.57 0.17637 0.17892 0.18147 0.18402 0.18657 0.18912 0.19167 0.19422 0.19678 0.19934
0.58 0.20189 0.20445 0.20701 0.20957 0.21214 0.21470 0.21727 0.21983 0.22240 0.22497
0.59 0.22755 0.23012 0.23269 0.23527 0.23785 0.24043 0.24301 0.24559 0.24817 0.25076
0.60 0.25335 0.25594 0.25853 0.26112 0.26371 0.26631 0.26891 0.27151 0.27411 0.27671
0.61 0.27932 0.28193 0.28454 0.28715 0.28976 0.29238 0.29499 0.29761 0.30023 0.30285
0.62 0.30548 0.30811 0.31074 0.31337 0.31600 0.31864 0.32128 0.32392 0.32656 0.32921
0.63 0.33185 0.33450 0.33716 0.33981 0.34247 0.34513 0.34779 0.35045 0.35312 0.35579
0.64 0.35846 0.36113 0.36381 0.36649 0.36917 0.37186 0.37454 0.37723 0.37993 0.38262
0.65 0.38532 0.38802 0.39073 0.39343 0.39614 0.39886 0.40157 0.40429 0.40701 0.40974
0.66 0.41246 0.41519 0.41793 0.42066 0.42341 0.42615 0.42889 0.43164 0.43440 0.43715
0.67 0.43991 0.44268 0.44544 0.44821 0.45099 0.45376 0.45654 0.45933 0.46211 0.46490
0.68 0.46770 0.47050 0.47330 0.47610 0.47891 0.48173 0.48454 0.48736 0.49019 0.49302
0.69 0.49585 0.49869 0.50153 0.50437 0.50722 0.51007 0.51293 0.51579 0.51866 0.52153
0.70 0.52440 0.52728 0.53016 0.53305 0.53594 0.53884 0.54174 0.54464 0.54755 0.55046
0.71 0.55338 0.55631 0.55924 0.56217 0.56511 0.56805 0.57100 0.57395 0.57691 0.57987
0.72 0.58284 0.58581 0.58879 0.59178 0.59477 0.59776 0.60076 0.60376 0.60678 0.60979
0.73 0.61281 0.61584 0.61887 0.62191 0.62496 0.62801 0.63106 0.63412 0.63719 0.64027
0.74 0.64334 0.64643 0.64952 0.65262 0.65573 0.65884 0.66196 0.66508 0.66821 0.67135
0.75 0.67449 0.67764 0.68080 0.68396 0.68713 0.69031 0.69349 0.69668 0.69988 0.70309
0.76 0.70630 0.70952 0.71275 0.71599 0.71923 0.72248 0.72574 0.72900 0.73228 0.73556
0.77 0.73885 0.74214 0.74545 0.74876 0.75208 0.75541 0.75875 0.76210 0.76546 0.76882
0.78 0.77219 0.77557 0.77897 0.78237 0.78577 0.78919 0.79262 0.79606 0.79950 0.80296
0.79 0.80642 0.80990 0.81338 0.81687 0.82038 0.82389 0.82742 0.83095 0.83450 0.83805
0.80 0.84162 0.84520 0.84879 0.85239 0.85600 0.85962 0.86325 0.86689 0.87055 0.87422
0.81 0.87790 0.88159 0.88529 0.88901 0.89273 0.89647 0.90023 0.90399 0.90777 0.91156
0.82 0.91537 0.91918 0.92301 0.92686 0.93072 0.93459 0.93848 0.94238 0.94629 0.95022
0.83 0.95416 0.95813 0.96210 0.96609 0.97009 0.97411 0.97815 0.98220 0.98627 0.99036
0.84 0.99446 0.99858 1.00271 1.00687 1.01104 1.01522 1.01943 1.02365 1.02789 1.03215
0.85 1.03643 1.04073 1.04505 1.04939 1.05375 1.05812 1.06252 1.06694 1.07138 1.07584
0.86 1.08032 1.08482 1.08935 1.09390 1.09847 1.10306 1.10768 1.11232 1.11699 1.12168
0.87 1.12639 1.13113 1.13590 1.14069 1.14550 1.15035 1.15522 1.16012 1.16505 1.17000
0.88 1.17499 1.18000 1.18504 1.19012 1.19522 1.20036 1.20553 1.21073 1.21596 1.22123
0.89 1.22653 1.23187 1.23724 1.24264 1.24809 1.25357 1.25908 1.26464 1.27024 1.27588
0.90 1.28155 1.28727 1.29303 1.29884 1.30469 1.31058 1.31652 1.32251 1.32854 1.33462
0.91 1.34075 1.34694 1.35317 1.35946 1.36581 1.37220 1.37866 1.38517 1.39175 1.39838
0.92 1.40507 1.41183 1.41865 1.42554 1.43250 1.43953 1.44663 1.45380 1.46106 1.46838
0.93 1.47579 1.48328 1.49085 1.49852 1.50626 1.51410 1.52203 1.53007 1.53820 1.54643
0.94 1.55477 1.56322 1.57179 1.58047 1.58927 1.59819 1.60725 1.61644 1.62576 1.63524
0.95 1.64485 1.65463 1.66456 1.67466 1.68494 1.69540 1.70604 1.71688 1.72793 1.73920
0.96 1.75069 1.76241 1.77438 1.78661 1.79912 1.81191 1.82501 1.83843 1.85218 1.86629
0.97 1.88079 1.89570 1.91103 1.92684 1.94314 1.95996 1.97737 1.99539 2.01409 2.03352
0.98 2.05375 2.07485 2.09693 2.12007 2.14441 2.17009 2.19728 2.22621 2.25713 2.29036
0.99 2.32634 2.36561 2.40892 2.45727 2.51213 2.57583 2.65209 2.74777 2.87815 3.09024


Tabulated by S L C Saw

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