[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359149-105":59,"doc-detail-359149-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","finding-the-interquartile-range-a-find-q1-q3-and-iqr","Finding the Interquartile Range (A) - Find Q1, Q3, and IQR","","Worksheet focused on computing the interquartile range for multiple data sets. Directions guide ordering values, then determining Q1 and Q3 as medians of the lower and upper halves, with instructions to exclude the overall median when the number of values is odd. Seven problems provide apples, gaming scores, customers, daily playtime, item prices, collected coins, and vegetables, plus one challenge with gamer session scores. An answer key supplies the resulting quartiles and IQRs.",{"@graph":69,"@context":123},[70,84,106],{"@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/finding-the-interquartile-range-a-find-q1-q3-and-iqr/359149/",{"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/finding-the-interquartile-range-a-find-q1-q3-and-iqr/359149.png","ImageObject",300,407,{"name":92,"@type":93},"\tJames","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are Q1, Q3, and the IQR, and how are they related?","Question",{"text":113,"@type":114},"Q1 is the median of the lower half and Q3 is the median of the upper half after ordering the data. The interquartile range is IQR = Q3 − Q1.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Do you include the median when finding Q1 and Q3 if the data set has an odd number of values?",{"text":118,"@type":114},"No. When n is odd, exclude the median when finding Q1 and Q3.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you handle the data before computing quartiles?",{"text":122,"@type":114},"Order the data from least to greatest first, then split into two halves and find the medians for the lower and upper halves.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},359149,1790499863,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":144,"read_time":39,"preview_page_count":4},2336474466412,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:     \nFinding the Interquartile Range (A)  \nDirections: Find Q1, Q3, and the IQR for each data set. Order the data first, then split it into two halves.  \nRemember: Steps: (1) Order data from least to greatest. (2) Find the median of the lower half → Q1 . (3) Find the median of the upper half → Q3 . (4) IQR = Q3 − Q1 . If n is odd, exclude the median when finding Q1 and Q3 .  \nProblem 1  \nNumber of apples sold per hour at a market stall  \nData: 4, 7, 9, 12, 15, 18, 20, 24  \nQ1 = ____________ Q3 = ____________ IQR = ____________  \nProblem 2  \nGaming scores in 6 rounds  \nData: 55, 62, 70, 78, 85, 91  \nQ1 = ____________ Q3 = ____________ IQR = ____________  \nProblem 3  \nNumber of customers at a farmers market each day  \nData: 30, 45, 50, 55, 60, 72, 80, 95  \nQ1 = ____________ Q3 = ____________ IQR = ____________  \nProblem 4  \nMinutes spent playing a video game each day  \nData: 20, 35, 40, 45, 50, 60, 75  \n  Q3 =   IQR =    \nQ1 =  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nProblem 5  \nPrice in dollars of items sold at a market  \nData: 3, 5, 8, 10, 12, 15, 18, 22  \nQ1 = ____________ Q3 = ____________ IQR = ____________  \nProblem 6  \nCoins collected per gaming level  \nData: 12, 18, 24, 30, 36, 42, 48, 54  \nQ1 = ____________ Q3 = ____________ IQR = ____________  \nProblem 7  \nNumber of vegetables per bunch sold at market  \nData: 5, 8, 9, 11, 13, 15, 17, 20  \nQ1 =   Q3 =   IQR =   Challenge Problem  \nA gamer recorded scores over 10 sessions  \nData: 45, 52, 58, 64, 70, 76, 82, 88, 94, 100  \nQ1 =   Q3 =   IQR =    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) P1 . Q1 = 8 Q3 = 19 IQR = 11  \n2.) P2 . Q1 = 62 Q3 = 85 IQR = 23  \n3.) P3 . Q1 = 47.5 Q3 = 76 IQR = 28.5  \n4.) P4 . Q1 = 35 Q3 = 60 IQR = 25  \n5.) P5 . Q1 = 6.5 Q3 = 16.5 IQR = 10  \n6.) P6 . Q1 = 21 Q3 = 45 IQR = 24  \n7.) P7 . Q1 = 8.5 Q3 = 16 IQR = 7.5  \n8.) P8 . Q1 = 58 Q3 = 88 IQR = 30  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaifpTVmI6DKbm","https://ap.wps.com/l/cbCaifpTVmI6DKbm","pdf",1150492,"English","# Directions\n# Practice Problems\n## Problem 1-7\n## Challenge Problem\n# Answer Key","[{\"question\":\"What are Q1, Q3, and the IQR, and how are they related?\",\"answer\":\"Q1 is the median of the lower half and Q3 is the median of the upper half after ordering the data. The interquartile range is IQR = Q3 − Q1.\"},{\"question\":\"Do you include the median when finding Q1 and Q3 if the data set has an odd number of values?\",\"answer\":\"No. When n is odd, exclude the median when finding Q1 and Q3.\"},{\"question\":\"How do you handle the data before computing quartiles?\",\"answer\":\"Order the data from least to greatest first, then split into two halves and find the medians for the lower and upper halves.\"}]","Finding the Interquartile Range (A) - Find Q1, Q3, and IQR | PDF",1790136245]