[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-481945-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-481945-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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","examining-samples-solve-each-problem","Examining Samples - Solve Each Problem","","A set of three short word problems uses small sample tables to draw conclusions about real-world quantities. The first examines whether nail, screw, and bolt counts in a bucket show any meaningful relationship, concluding that the tiny discrepancies prevent solid inference. The second compares customer order samples to recommend stocking a sweet, favoring Brownies. The third evaluates sampled pizza topping preferences to decide which meat to stock most, concluding the sample size is too small for meaningful assumptions.",{"@graph":14,"@context":73},[15,34,56],{"@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/examining-samples-solve-each-problem/481945/",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/examining-samples-solve-each-problem/481945.png","ImageObject",300,407,{"name":42,"@type":43},"Alexandar","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-05","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What can you infer about the relationship among nails, screws, and bolts from the carpenter’s samples?","Question",{"text":63,"@type":64},"The discrepancies are very small, so it is unlikely that any meaningful deduction can be made about the bucket’s actual quantities.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Based on the baker’s recorded customer orders, which sweet should he stock the most?",{"text":68,"@type":64},"He should keep more Brownies than Cookies or Cupcakes.",{"name":70,"@type":61,"acceptedAnswer":71},"Why is the pizzeria owner unable to make a confident decision from the meat topping samples?",{"text":72,"@type":64},"The samples are small, and the information is insufficient to support any meaningful assumptions about which meat to stock most.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},481945,1792878032,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},"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":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"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":143,"read_time":55},962090768658,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Solve each problem.  \n1) A carpenter has accumulated a large collection of nails, screws and bolts, which he had randomly thrown together into a bucket. Later he wanted to estimate how many of each he had. To do this he grabbed a handful from the bucket. His results are shown below.  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 |\n| --- | --- | --- | --- | --- | --- |\n| \u003Cbr>nails | 29 | 30 | 28 | 31 | 28 |\n| \u003Cbr>screws | 28 | 32 | 28 | 32 | 29 |\n| \u003Cbr>bolts | 29 | 32 | 28 | 28 | 29 |\n\nBased on the information presented can you infer anything about the relationship between the number of nails,screws and bolts in the bucket?  \nBecause of the very small discrepancy in the quantities it is unlikely any  \ndeduction can be made about the number of nails,screws or bolts in the bucket.  \n2) In order to determine which type of sweets he should keep the most of in his shop a baker logged every 5th customers order. His findings are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 |\n| --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Cookies | 23 | 24 | 22 | 22 | 24 |\n| \u003Cbr>Brownies | 32 | 29 | 32 | 28 | 31 |\n| \u003Cbr>Cupcakes | 11 | 16 | 13 | 12 | 15 |\n\nBased on the information presented what can you infer about which type he should stock?  \nBased on the information presented he should keep more Brownies than Cookies or Cupcakes.  \n3) A pizzeria owner was trying to determine which types of meat he should stock the most of for his new store. To do this he asked several pizza eaters what their favorite toppings were. His results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 | \u003Cbr>6 | \u003Cbr>7 |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Pepperoni | 4 | 5 | 3 | 5 | 6 | 3 | 6 |\n| \u003Cbr>Sausage | 4 | 3 | 2 | 3 | 6 | 2 | 5 |\n| \u003Cbr>Ham | 2 | 6 | 4 | 2 | 5 | 6 | 2 |\n\nBased on the information presented what can you infer about which type of meat he should stock?  \nBased on the information presented and the small samples gathered it is impossible to make any meaningful assumptions.  \nSolve each problem.  \n1) A carpenter has accumulated a large collection of nails, screws and bolts, which he had randomly thrown together into a bucket. Later he wanted to estimate how many of each he had. To do this he grabbed a handful from the bucket. His results are shown below.  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 |\n| --- | --- | --- | --- | --- | --- |\n| \u003Cbr>nails | 29 | 30 | 28 | 31 | 28 |\n| \u003Cbr>screws | 28 | 32 | 28 | 32 | 29 |\n| \u003Cbr>bolts | 29 | 32 | 28 | 28 | 29 |\n\nBased on the information presented can you infer anything about the relationship between the number of nails,screws and bolts in the bucket?  \nBecause of the very small discrepancy in the quantities it is unlikely any  \ndeduction can be made about the number of nails,screws or bolts in the bucket.  \n2) In order to determine which type of sweets he should keep the most of in his shop a baker logged every 5th customers order. His findings are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 |\n| --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Cookies | 23 | 24 | 22 | 22 | 24 |\n| \u003Cbr>Brownies | 32 | 29 | 32 | 28 | 31 |\n| \u003Cbr>Cupcakes | 11 | 16 | 13 | 12 | 15 |\n\nBased on the information presented what can you infer about which type he should stock?  \nBased on the information presented he should keep more Brownies than Cookies or Cupcakes.  \n3) A pizzeria owner was trying to determine which types of meat he should stock the most of for his new store. To do this he asked several pizza eaters what their favorite toppings were. His results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 | \u003Cbr>6 | \u003Cbr>7 |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Pepperoni | 4 | 5 | 3 | 5 | 6 | 3 | 6 |\n| \u003Cbr>Sausage | 4 | 3 | 2 | 3 | 6 | 2 | 5 |\n| \u003Cbr>Ham | 2 | 6 | 4 | 2 | 5 | 6 | 2 |\n\nBased on the information presented what can you infer about which type of meat he should stock?  \nB","cbCaicUOcJffyWtE","https://ap.wps.com/l/cbCaicUOcJffyWtE","pdf",89851,"English","# Problem 1: Carpenter’s nails, screws, and bolts\n# Problem 2: Baker’s sweets to stock\n# Problem 3: Pizzeria’s meat toppings to stock","[{\"question\":\"What can you infer about the relationship among nails, screws, and bolts from the carpenter’s samples?\",\"answer\":\"The discrepancies are very small, so it is unlikely that any meaningful deduction can be made about the bucket’s actual quantities.\"},{\"question\":\"Based on the baker’s recorded customer orders, which sweet should he stock the most?\",\"answer\":\"He should keep more Brownies than Cookies or Cupcakes.\"},{\"question\":\"Why is the pizzeria owner unable to make a confident decision from the meat topping samples?\",\"answer\":\"The samples are small, and the information is insufficient to support any meaningful assumptions about which meat to stock most.\"}]","Examining Samples - Solve Each Problem | PDF",1790797740]