[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-465305-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-465305-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","chapter-2-frappy-directions-sample","Chapter 2 - FRAPPY! - Directions - Sample","","Sample learning materials for Chapter 2 (FRAPPY!) focusing on Normal distributions and score analysis. The problems require showing all work and using clear methods for scoring accuracy. Tasks include finding the proportion of students scoring at least a specified threshold, determining a percentile of a Normal distribution, transforming scores with a linear rule to achieve a new mean and standard deviation, and assessing whether a Normal model is appropriate for homework scores bounded by a maximum.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/chapter-2-frappy-directions-sample/465305/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/chapter-2-frappy-directions-sample/465305.png","ImageObject",300,407,{"name":42,"@type":43},"Sophia Brooks","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"Why must students show all their work in these Chapter 2 problems?","Question",{"text":62,"@type":63},"The directions state that scoring depends on both the correctness of methods and the accuracy and completeness of results and explanations.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you find the proportion scoring at least a given value on a Normal test distribution?",{"text":67,"@type":63},"Use the Normal model with the given mean and standard deviation to compute the upper-tail probability for scores at least the specified threshold.",{"name":69,"@type":60,"acceptedAnswer":70},"When transforming test scores with new score = a + b(old score), how are a and b determined?",{"text":71,"@type":63},"Choose a and b so the transformed scores have the target Normal mean and standard deviation, matching the linear transformation’s effect on location and scale.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},465305,1790769459,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":26,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":123},962084925636,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","# sample   \n\nChapter 2 FRAPPY!  \nDirections:Show all your work.Indicate clearly the methods you use,because you will be scored on thecorrectness ofyour methods as well as on the accuracy and completeness ofyour results andexplanations.  \nThe distribution of scores on a recent test closely followed a Normal distribution with a mean of 22 pointsand a standard deviation of4 points.  \n(a)What proportion of the students scored at least 25 points on this test?  \nnormalcdf(louer:Q5,upper:10U,man:2、S:  \n=O.220  \n(b)What is the 31st percentile of the distribution of test scores?  \no31m22s  \nsample   \n(c)The teacher wants to transform the test scores so that they have an approximately Normaldistribution with a mean of 80 points and a standard deviation of 10 points.To do this,she willuse a formula in the form:  \nnew score=a+b(old score)  \nFind the values of a and b that the teacher should use to transform the distribution of test scores.  \n8+1 sr0=MQan voJUe =80b=SD  \nOn ng ths,you ongthe erage  upsthomeoY wll be 80±O.  \n(d)Before the test,the teacher gave a review assignment for homework.The maximum score on theassignment was 10 points.The distribution of scores on this assignment had a mean of 9.2 pointsand a standard deviation of 2.1 points.Would it be appropriate to use a Normal distribution tocalculate the proportion of students who scored below 7 points on this assignment?Explain.  \nn anrae,th aa  s2    so  snoud be  08%of the scores,meanlingsncuud ergherhan hdoviohon,If the muan score is q.2 ancSD is 2.1,t wouwld be imposSIbu女nowe I6%6 of the 3cores be nuqher than tnfirst do viahion (11.3)becaMse tho max sccre ís I₀.  \nsample 2  \nChapter 2 FRAPPY!  \nDirections:Show all your work.Indicate clearly the methods you use,because you will be scored on thecorrectness ofyour methods as well as on the accuracy and completeness ofyour results andexplanations.  \nThe distribution of scores on a recent test closely followed a Normal distribution with a mean of 22 pointsand a standard deviation of 4 points.  \n(a)What proportion of the students scored at least 25 points on this test?  \nE=  070.77   \n(b)What is the 31st percentile of the distribution of test scores?  \n2=X-2.00= ×-22  \nsample   \n(c)The teacher wants to transform the test scores so that they have an approximately Normaldistribution with a mean of 80 points and a standard deviation of 10 points.To do this,she willuse a formula in the form:  \nnew score=a+b(old score)  \nFind the values of a and b that the teacher should use to transform the distribution of test scores.  \n1=()so=2、8=a+22  a=5  \n(d)Before the test,the teacher gave a review assignment for homework.The maximum score on theassignment was 10 points.The distribution of scores on this assignment had a mean of 9.2 pointsand a standard deviation of 2.1 points.Would it be appropriate to use a Normal distribution tocalculate the proportion of students who scored below 7 points on this assignment?Explain.  \nno、caustmn  CIDSt t0+ max  ponts.,therto you  can onclude the 1striuon normal.","cbCaivWaFbVCk60G","https://ap.wps.com/l/cbCaivWaFbVCk60G","pdf",1479696,"English","# Chapter 2 FRAPPY!\n## Directions\n## (a) Proportion scoring at least 25\n## (b) 31st percentile of test scores\n## (c) Transform scores to new Normal distribution\n## (d) Check appropriateness of Normal model for bounded assignment","[{\"question\":\"Why must students show all their work in these Chapter 2 problems?\",\"answer\":\"The directions state that scoring depends on both the correctness of methods and the accuracy and completeness of results and explanations.\"},{\"question\":\"How do you find the proportion scoring at least a given value on a Normal test distribution?\",\"answer\":\"Use the Normal model with the given mean and standard deviation to compute the upper-tail probability for scores at least the specified threshold.\"},{\"question\":\"When transforming test scores with new score = a + b(old score), how are a and b determined?\",\"answer\":\"Choose a and b so the transformed scores have the target Normal mean and standard deviation, matching the linear transformation’s effect on location and scale.\"}]","Chapter 2 - FRAPPY! - Directions - Sample | PDF"]