[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-564950-105":53,"doc-detail-564950-en":120},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":113,"head_meta":115,"extra_data":117,"updated_unix":119},105,"en","standard-normal-distribution-tables-area-to-the-left-of-the-z-score","Standard Normal Distribution Tables - Area to the Left of the Z Score","","Standard Normal Distribution tables listing Z values and the corresponding cumulative area to the left of each Z score. The table is organized with Z across rows and column entries by Z increments, providing probabilities used in hypothesis testing and confidence interval calculations. Values cover negative to near-zero Z scores and continue upward, enabling quick lookup of normal CDF results without manual integration. Suitable for statistics coursework and practical data analysis where standardized scores are converted to tail areas.",{"@graph":63,"@context":112},[64,80,95],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":36,"@type":70,"position":76},"https://docshare.wps.com/template/forms/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/standard-normal-distribution-tables-area-to-the-left-of-the-z-score/564950/",4,{"url":78,"name":59,"@type":81,"author":82,"headline":59,"publisher":85,"fileFormat":88,"inLanguage":57,"description":61,"dateModified":89,"datePublished":89,"encodingFormat":88,"isAccessibleForFree":90,"interactionStatistic":91},"DigitalDocument",{"name":83,"@type":84},"Kyle","Person",{"url":68,"name":86,"@type":87},"DocShare","Organization","application/pdf","2026-10-12",true,{"@type":92,"interactionType":93,"userInteractionCount":4},"InteractionCounter",{"@type":94},"ViewAction",{"@type":96,"mainEntity":97},"FAQPage",[98,104,108],{"name":99,"@type":100,"acceptedAnswer":101},"What do the table values represent?","Question",{"text":102,"@type":103},"They represent the area to the left of a given Z score (the cumulative probability).","Answer",{"name":105,"@type":100,"acceptedAnswer":106},"How do I use the table to find a probability?",{"text":107,"@type":103},"Locate the row for the Z value and then select the matching column entry to read the left-tail area.",{"name":109,"@type":100,"acceptedAnswer":110},"Why are Z values listed with increments like .0, .1, .2, etc.?",{"text":111,"@type":103},"The increments allow fine-grained lookup so you can approximate cumulative probabilities for many standardized scores.","https://schema.org",{"og:url":78,"og:type":114,"og:title":59,"og:site_name":86,"og:description":61},"article",{"robots":116,"canonical":78},"index,follow",{"doc_id":118,"site_id":56},564950,1791845310,{"code":4,"msg":5,"data":121},{"doc_id":118,"user_id":122,"nickname":83,"user_avatar":123,"doc_module":9,"category_id":35,"category_name":36,"doc_title":59,"doc_description":61,"doc_content":124,"file_id":125,"file_url":126,"file_type":127,"file_size":128,"view_count":4,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":73,"language":129,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":130,"faqs":131,"seo_title":132,"seo_description":61,"update_tm":119,"read_time":9},3985741905716,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","# Standard Normal Distribution Tables\n\n\n| STANDARD NORMAL DISTRIBUTION:Table Values Represent AREA to the LEFT of the Z score   |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Z   | .00   | .01   | .02   | .03   | .04   | .05   | .06   | .07   | .08   | .09   |\n| -3.9   | .00005   | .00005   | .00004   | .00004   | .00004   | .00004   | .00004   | .00004   | .00003   | .00003   |\n| -3.8   | .00007   | .00007   | .00007   | .00006   | .00006   | .00006   | .00006   | .00005   | .00005   | .00005   |\n| -3.7   | .00011   | .00010   | .00010   | .00010   | .00009   | .00009   | .00008   | .00008   | .00008   | .00008   |\n| -3.6   | .00016   | .00015   | .00015   | .00014   | .00014   | .00013   | .00013   | .00012   | .00012   | .00011   |\n| -3.5   | .00023   | .00022   | .00022   | .00021   | .00020   | .00019   | .00019   | .00018   | .00017   | .00017   |\n| -3.4   | .00034   | .00032   | .00031   | .00030   | .00029   | .00028   | .00027   | .00026   | .00025   | .00024   |\n| -3.3   | .00048   | .00047   | .00045   | .00043   | .00042   | .00040   | .00039   | .00038   | .00036   | .00035   |\n| -3.2   | .00069   | .00066   | .00064   | .00062   | .00060   | .00058   | .00056   | .00054   | .00052   | .00050   |\n| -3.1   | .00097   | .00094   | .00090   | .00087   | .00084   | .00082   | .00079   | .00076   | .00074   | .00071   |\n| -3.0   | .00135   | .00131   | .00126   | .00122   | .00118   | .00114   | .00111   | .00107   | .00104   | .00100   |\n| -2.9   | .00187   | .00181   | .00175   | .00169   | .00164   | .00159   | .00154   | .00149   | .00144   | .00139   |\n| -2.8   | .00256   | .00248   | .00240   | .00233   | .00226   | .00219   | .00212   | .00205   | .00199   | .00193   |\n| -2.7   | .00347   | .00336   | .00326   | .00317   | .00307   | .00298   | .00289   | .00280   | .00272   | .00264   |\n| -2.6   | .00466   | .00453   | .00440   | .00427   | .00415   | .00402   | .00391   | .00379   | .00368   | .00357   |\n| -2.5   | .00621   | .00604   | .00587   | .00570   | .00554   | .00539   | .00523   | .00508   | .00494   | .00480   |\n| -2.4   | .00820   | .00798   | .00776   | .00755   | .00734   | .00714   | .00695   | .00676   | .00657   | .00639   |\n| -2.3   | .01072   | .01044   | .01017   | .00990   | .00964   | .00939   | .00914   | .00889   | .00866   | .00842   |\n| -2.2   | .01390   | .01355   | .01321   | .01287   | .01255   | .01222   | .01191   | .01160   | .01130   | .01101   |\n| -2.1   | .01786   | .01743   | .01700   | .01659   | .01618   | .01578   | .01539   | .01500   | .01463   | .01426   |\n| -2.0   | .02275   | .02222   | .02169   | .02118   | .02068   | .02018   | .01970   | .01923   | .01876   | .01831   |\n| -1.9   | .02872   | .02807   | .02743   | .02680   | .02619   | .02559   | .02500   | .02442   | .02385   | .02330   |\n| -1.8   | .03593   | .03515   | .03438   | .03362   | .03288   | .03216   | .03144   | .03074   | .03005   | .02938   |\n| -1.7   | .04457   | .04363   | .04272   | .04182   | .04093   | .04006   | .03920   | .03836   | .03754   | .03673   |\n| -1.6   | .05480   | .05370   | .05262   | .05155   | .05050   | .04947   | .04846   | .04746   | .04648   | .04551   |\n| -1.5   | .06681   | .06552   | .06426   | .06301   | .06178   | .06057   | .05938   | .05821   | .05705   | .05592   |\n| -1.4   | .08076   | .07927   | .07780   | .07636   | .07493   | .07353   | .07215   | .07078   | .06944   | .06811   |\n| -1.3   | .09680   | .09510   | .09342   | .09176   | .09012   | .08851   | .08691   | .08534   | .08379   | .08226   |\n| -1.2   | .11507   | .11314   | .11123   | .10935   | .10749   | .10565   | .10383   | .10204   | .10027   | .09853   |\n| -1.1   | .13567   | .13350   | .13136   | .12924   | .12714   | .12507   | .12302   | .12100   | .11900   | .11702   |\n| -1.0   | .15866   | .15625   | .15386   | .15151   | .14917   | .14686   | .14457   | .14231   | .14007   | .13786   |\n| -0.9   | .18406   | .18141   | .17879   | .17619   |","cbCairfy3ZuYNFQA","https://ap.wps.com/l/cbCairfy3ZuYNFQA","pdf",1033244,"English","# Standard Normal Distribution Tables\n## Z values and left-tail areas","[{\"question\":\"What do the table values represent?\",\"answer\":\"They represent the area to the left of a given Z score (the cumulative probability).\"},{\"question\":\"How do I use the table to find a probability?\",\"answer\":\"Locate the row for the Z value and then select the matching column entry to read the left-tail area.\"},{\"question\":\"Why are Z values listed with increments like .0, .1, .2, etc.?\",\"answer\":\"The increments allow fine-grained lookup so you can approximate cumulative probabilities for many standardized scores.\"}]","Standard Normal Distribution Tables - Area to the Left of the Z Score | PDF"]