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The content includes an answer section listing choices A–E for questions 1 through 25, followed by statistical formulas organized into descriptive statistics, probability, and inferential statistics. It also provides standardized test statistic guidance, confidence interval structure, two-sample and single-sample standard deviations, chi-square test notation, and a table of standard normal probabilities for z values.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/ap-statistics-final-examination-multiple-choice-questions-answer-sheet/311363/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/ap-statistics-final-examination-multiple-choice-questions-answer-sheet/311363.png","ImageObject",300,407,{"name":92,"@type":93},"Seraphina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the answer sheet section contain?","Question",{"text":112,"@type":113},"It contains a multiple-choice grid for questions 1–25, with answer options labeled A–E for each question.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which topics are covered in the formula section?",{"text":117,"@type":113},"The formulas are grouped into descriptive statistics, probability, and inferential statistics.",{"name":119,"@type":110,"acceptedAnswer":120},"What reference table is included for probability calculations?",{"text":121,"@type":113},"Table A provides standard normal probabilities for z values, described as the area under the standard normal curve left of z.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},311363,1789894197,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":129,"read_time":144,"preview_page_count":4},962075114101,"https://ap-avatar.wpscdn.com/avatar/e000253a75eb197efd?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780044092746381165","AP Statistics Final Examination Multiple-Choice Questions  \nName   Date   Period    \nAnswer Sheet: Multiple-Choice Questions  \n1. lA lB lC lD lE 14. lA lB lC lD lE   \n2. lA lB lC lD lE 15. lA lB lC lD lE   \n3. lA lB lC lD lE 16. lA lB lC lD lE   \n4. lA lB lC lD lE 17. lA lB lC lD lE   \n5. lA lB lC lD lE 18. lA lB lC lD lE   \n6. lA lB lC lD lE 19. lA lB lC lD lE   \n7. lA lB lC lD lE 20. lA lB lC lD lE   \n8. lA lB lC lD lE 21. lA lB lC lD lE   \n9. lA lB lC lD lE 22. lA lB lC lD lE   \n10. lA lB lC lD lE 23. lA lB lC lD lE   \n11. lA lB lC lD lE 24. lA lB lC lD lE   \n12. lA lB lC lD lE 25. lA lB lC lD lE   \n13. lA lB lC lD lE   \nFormulas  \nI. Decriptive Statistics  \n   Pxi  \nx =  \nn  \nsx = rn~~ ~~~~ ~~1 X (x1 􀀀 x)2  sp = s ~~ ~~(n1(n~~ ~~s21~~ 1~~)~~ ~~~~ ~~((n~~ ~~2n~~ ~~2~~ ~~􀀀~~ ~~11))s2~~2 ~~y^ = b0 + b1 x  \nP (x1 􀀀 x)(yi 􀀀 y  ) b 1 =    \nP (sx 􀀀 x)2 b0 = y 􀀀 b 1  x  \nr = n~~ ~~~~ ~~1 X 􀀒 x~~ ~~1s~~ ~~x 􀀓 􀀒 yi~~ ~~~~ ~~y 􀀓 b 1 = r ~~ ~~  \nsx  \nsb 1 = rP~~ ~~(yni􀀀􀀀2y~~  ~~)2 pP(xi 􀀀 x)2  \nII. Probability  \nP (A \\ B)  \nP (A [ B) =  \nP (B)  \nP (A \\ B) P (AjB) =  \nP (B) E(X) = 􀀖X =Pxipi  \nVar(X) = 􀀛2x =P(xi 􀀀 􀀖X )2pi  \nIf X has a binomial distribution with parameters n and p, then: P (X = k) = 􀀀 nk􀀁pk (1 􀀀 p)n􀀀k  \n􀀖X = np   \n􀀛X =p np (1 􀀀 p)  \n􀀖p^ = p  \n  􀀛p^ = rp(1~~ ~~p)  \nIf x is the mean of a random sample of size n from an in􀀌nite population with mean 􀀖 and standard deviation 􀀛, the:  \n􀀖x = 􀀖  \n􀀛~~x~~ = 􀀛p~~ n~~  \nIII. Inferential Statistics  \n statistic 􀀀 parameter   \nStandardized test statistic:  \nstandard deviation of statistic  \nCon􀀌dence interval:  \nstatistic 􀀆 (critical value) 􀀁 (standard deviation of statistic)  \nSingle-Sample  \n\n| Statistic | Standard Deviation of Statistic |\n| --- | --- |\n| Sample Mean | 􀀛 pn |\n| Sample Proportion | rp~~ ~~(1n􀀀~~ ~~p) |\n\nTwo-Sample  \n\n| Statistic | Standard Deviation\u003Cbr>of Statistic |\n| --- | --- |\n| Di􀀋erence of\u003Cbr>sample means | s ~~ ~~􀀛n2~~1~~1 + 􀀛n2~~2~~2 \u003Cbr>Special case when 􀀛 1 = 􀀛2 􀀛r 1n1 + 1n2 |\n| Di􀀋erence of\u003Cbr>sample proportions | sp~~ ~~1~~ ~~(~~ ~~1n~~ ~~p~~ ~~1) + p~~ ~~2~~ ~~(~~ ~~1n~~ ~~p~~ ~~2)\u003Cbr>Special case when p 1 = p2 = ppp (1 􀀀 p)r 1n1 + 1n2 |\n\nChi 􀀀 square test statistic = X (observed~~ ~~=~~ ~~expexpectedected)2  \nTable entry for z is the area under the standard normal curve left of z .  \nTABLE A Standard normal probabilities  \n\n| z | .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 23.4\u003Cbr>23.3\u003Cbr>23.2\u003Cbr>23.1\u003Cbr>23.0 | .0003\u003Cbr>.0005\u003Cbr>.0007\u003Cbr>.0010\u003Cbr>.0013 | .0003\u003Cbr>.0005\u003Cbr>.0007\u003Cbr>.0009\u003Cbr>.0013 | .0003\u003Cbr>.0005\u003Cbr>.0006\u003Cbr>.0009\u003Cbr>.0013 | .0003\u003Cbr>.0004\u003Cbr>.0006\u003Cbr>.0009\u003Cbr>.0012 | .0003\u003Cbr>.0004\u003Cbr>.0006\u003Cbr>.0008\u003Cbr>.0012 | .0003\u003Cbr>.0004\u003Cbr>.0006\u003Cbr>.0008\u003Cbr>.0011 | .0003\u003Cbr>.0004\u003Cbr>.0006\u003Cbr>.0008\u003Cbr>.0011 | .0003\u003Cbr>.0004\u003Cbr>.0005\u003Cbr>.0008\u003Cbr>.0011 | .0003\u003Cbr>.0004\u003Cbr>.0005\u003Cbr>.0007\u003Cbr>.0010 | .0002\u003Cbr>.0003\u003Cbr>.0005\u003Cbr>.0007\u003Cbr>.0010 |\n| 22.9\u003Cbr>22.8\u003Cbr>22.7\u003Cbr>22.6\u003Cbr>22.5 | .0019\u003Cbr>.0026\u003Cbr>.0035\u003Cbr>.0047\u003Cbr>.0062 | .0018\u003Cbr>.0025\u003Cbr>.0034\u003Cbr>.0045\u003Cbr>.0060 | .0018\u003Cbr>.0024\u003Cbr>.0033\u003Cbr>.0044\u003Cbr>.0059 | .0017\u003Cbr>.0023\u003Cbr>.0032\u003Cbr>.0043\u003Cbr>.0057 | .0016\u003Cbr>.0023\u003Cbr>.0031\u003Cbr>.0041\u003Cbr>.0055 | .0016\u003Cbr>.0022\u003Cbr>.0030\u003Cbr>.0040\u003Cbr>.0054 | .0015\u003Cbr>.0021\u003Cbr>.0029\u003Cbr>.0039\u003Cbr>.0052 | .0015\u003Cbr>.0021\u003Cbr>.0028\u003Cbr>.0038\u003Cbr>.0051 | .0014\u003Cbr>.0020\u003Cbr>.0027\u003Cbr>.0037\u003Cbr>.0049 | .0014\u003Cbr>.0019\u003Cbr>.0026\u003Cbr>.0036\u003Cbr>.0048 |\n| 22.4\u003Cbr>22.3\u003Cbr>22.2\u003Cbr>22.1\u003Cbr>22.0 | .0082\u003Cbr>.0107\u003Cbr>.0139\u003Cbr>.0179\u003Cbr>.0228 | .0080\u003Cbr>.0104\u003Cbr>.0136\u003Cbr>.0174\u003Cbr>.0222 | .0078\u003Cbr>.0102\u003Cbr>.0132\u003Cbr>.0170\u003Cbr>.0217 | .0075\u003Cbr>.0099\u003Cbr>.0129\u003Cbr>.0166\u003Cbr>.0212 | .0073\u003Cbr>.0096\u003Cbr>.0125\u003Cbr>.0162\u003Cbr>.0207 | .0071\u003Cbr>.0094\u003Cbr>.0122\u003Cbr>.0158\u003Cbr>.0202 | .0069\u003Cbr>.0091\u003Cbr>.0119\u003Cbr>.0154\u003Cbr>.0197 | .0068\u003Cbr>.0089\u003Cbr>.0116\u003Cbr>.0150\u003Cbr>.0192 | .0066\u003Cbr>.0087\u003Cbr>.0113\u003Cbr>.0146\u003Cbr>.0188 | .0064\u003Cbr>.0084\u003Cbr>.0110\u003Cbr>.0143\u003Cbr>.0183 |\n| 21.9\u003Cbr>21.8\u003Cbr>21.7\u003Cbr>21.6\u003Cbr>21.5 | .0287\u003Cbr>.0359\u003Cbr>.0446\u003Cbr>.0548\u003Cb","cbCaidspPeuh47mP","https://ap.wps.com/l/cbCaidspPeuh47mP","pdf",400608,17,"English","# Answer Sheet: Multiple-Choice Questions\n# Formulas\n## Descriptive Statistics\n## Probability\n## Inferential Statistics\n## Standard Normal Probabilities (Table A)","[{\"question\":\"What does the answer sheet section contain?\",\"answer\":\"It contains a multiple-choice grid for questions 1–25, with answer options labeled A–E for each question.\"},{\"question\":\"Which topics are covered in the formula section?\",\"answer\":\"The formulas are grouped into descriptive statistics, probability, and inferential statistics.\"},{\"question\":\"What reference table is included for probability calculations?\",\"answer\":\"Table A provides standard normal probabilities for z values, described as the area under the standard normal curve left of z.\"}]","AP Statistics Final Examination - Multiple-Choice Questions - Answer Sheet | PDF",43]