[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-314877-105":59,"doc-detail-314877-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","ap-statistics-chapter-1-free-response-practice-test-answers","AP Statistics - Chapter 1 Free Response Practice Test - Answers","","AP Statistics Chapter 1 free-response practice test and answer key covering key descriptive statistics tasks. The materials use Minitab output to compute the interquartile range (IQR), then apply the 1.5*IQR rule to identify low and high outliers. Additional questions focus on constructing a frequency histogram for 50 calculus scores and describing distribution shape, center, and spread, plus creating a back-to-back stemplot comparing 1994 home run totals for American vs. National League teams, including median comparisons.",{"@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-chapter-1-free-response-practice-test-answers/314877/",{"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-chapter-1-free-response-practice-test-answers/314877.png","ImageObject",300,407,{"name":92,"@type":93},"Aditya","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you calculate the IQR from Minitab summary statistics in Question 1?","Question",{"text":112,"@type":113},"Use Q3 - Q1 from the summary output. The provided values are 84 and 68, giving IQR = 16.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What rule determines whether the lowest and highest values are outliers in Question 1?",{"text":117,"@type":113},"Compute 1.5*IQR. The low outlier cutoff is Q1 - 1.5*IQR and the high outlier cutoff is Q3 + 1.5*IQR; compare the minimum and maximum to these cutoffs.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the American League and National League home run distributions compared in Question 3?",{"text":121,"@type":113},"A back-to-back stemplot is constructed, then medians are compared. The answers state the AL median is 57.5 and the NL median is 50.5, with AL generally higher overall.","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},314877,1790135205,{"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":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24,"preview_page_count":4},962085564549,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","AP Statistics – Chapter 1 Free Response Practice Test  \n1. The test grades for a certain class were entered into a Minitab worksheet, and then“Descriptive Statistics” were requested. The results were  \nMTB > Describe 'Grades' .  \nGrades  \nGrades  \nN MEAN  \n28 74.71  \nMIN MAX  \n35.00 94.00  \nMEDIAN 76.00  \nQ1  \n68.00  \nTRMEAN 75.50  \nQ3  \n84.00  \nSTDEV SEMEAN  \n12.61 2.38  \n(a) Determine the IQR for this data.  \n(b) Using the answer from part (a), determine whether the lowest and highest values in the data are outliers.  \n2. The following data represent scores of 50 students on a calculus test.  \n72 72 93 70 59 78 74 65 73 80  \n57 67 72 57 83 76 74 56 68 67  \n74 76 79 72 61 72 73 76 67 49  \n71 53 67 65 99 83 69 61 72 68  \n65 51 75 68 75 66 77 61 64 74  \n(a) Construct a frequency histogram for this data set.  \n(b) Describe the shape, center, and spread of the distribution of test scores.  \n3. During the early part of the 1994 baseball season, many sports fans and baseball players noticed that the number of home runs being hit seemed to be unusually large. Here are the data on the number of home runs hit by American and National League teams: American League 35, 40, 43, 49, 51, 54, 57, 58, 58, 64, 68, 68, 75, 77 National League 29, 31, 42, 46, 47, 48, 48, 53, 55, 55, 55, 63, 63, 67  \n(a) Construct a back-to-back stemplot to compare the number of home runs hit in the two leagues.  \n(b) Write a few sentences comparing the distributions of home runs in the two leagues. Be sure to include a comparison of the medians as part of your discussion.  \nAP Statistics – Chapter 1 Free Response Practice Test – ANSWERS  \n1. Data: Minitab printout of summary statistics for 28 test scores  \na) IQR = Q3-Q 1 = 84 – 68 = 16  \nb) Low Outlier: Q 1 – 1.5 * IQR = 68 – 1.5 * 16 = 68 – 24 = 44. Since the lowest value (35) is less than 44, it is an outlier.  \nHigh Outlier: Q3 + 1.5 * IQR = 84 + 1.5 * 16 = 84 + 24 = 108. Since the highest value (94) is not greater than 108, it is not an outlier.  \n2. Data: 50 Calculus test scores  \na) Using class/bar widths of 5, we get:  \nIt would also be OK to use class widths of 10, but bars will be fewer and higher.  \nb) Description of Data SHAPE – Roughly symmetric, CENTER – about 73  \nSPREAD – 45 to 100  \n3. Data: Homeruns hit in 1994 AL vs NL  \na) American League (AL)  \n5  \n9308874188475  \nNational League (NL)  \n2 9 3 1  \n4 26788 5 3555 6 337 7  \nb) Overall, the American League teams hit more home runs than National League teams in  \n1994. To illustrate this, the median for the AL was 57.5 while the median for the NL was only 50.5. Additionally, the low value for the NL is much lower than in the AL (29 versus 35) and the high value in the AL is much higher than that in the NL (77 versus 67) .","cbCaiha3dj3iOAoj","https://ap.wps.com/l/cbCaiha3dj3iOAoj","pdf",53832,"English","# Questions\n## Descriptive statistics and outliers\n## Frequency histogram and distribution description\n## Back-to-back stemplot and league comparison\n# Answers\n## IQR and outlier identification\n## Histogram description (shape, center, spread)\n## League comparison with medians","[{\"question\":\"How do you calculate the IQR from Minitab summary statistics in Question 1?\",\"answer\":\"Use Q3 - Q1 from the summary output. The provided values are 84 and 68, giving IQR = 16.\"},{\"question\":\"What rule determines whether the lowest and highest values are outliers in Question 1?\",\"answer\":\"Compute 1.5*IQR. The low outlier cutoff is Q1 - 1.5*IQR and the high outlier cutoff is Q3 + 1.5*IQR; compare the minimum and maximum to these cutoffs.\"},{\"question\":\"How are the American League and National League home run distributions compared in Question 3?\",\"answer\":\"A back-to-back stemplot is constructed, then medians are compared. The answers state the AL median is 57.5 and the NL median is 50.5, with AL generally higher overall.\"}]","AP Statistics - Chapter 1 Free Response Practice Test - Answers | PDF",1789902049]