[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-481940-105":59,"doc-detail-481940-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","examining-samples-problems","Examining Samples - Problems","","Practice problems analyze sample data from three contexts: a canned food drive with different can types, a class election comparing candidate vote counts across small student samples, and a lake fish count estimating relative quantities. Each scenario asks what can be inferred from the provided tables, emphasizing limits of small discrepancies and small sample sizes. Solutions require interpreting the data tables and drawing conclusions about relative amounts or likely winners based on the evidence given.",{"@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/examining-samples-problems/481940/",{"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/examining-samples-problems/481940.png","ImageObject",300,407,{"name":92,"@type":93},"Alexandar","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What can be inferred from the canned food drive sample data?","Question",{"text":112,"@type":113},"The quantities among the can types differ only slightly, so there is no strong, reliable deduction about which types were donated more overall.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Why is it impossible to make meaningful assumptions from the class election samples?",{"text":117,"@type":113},"The sample sizes are very small, so the vote counts for the candidates do not provide enough evidence for confident predictions.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the lake fish sample suggest about the fish types?",{"text":121,"@type":113},"The sample indicates there will be more minnows in the lake than goldfish or sunfish, based on the recorded net counts.","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},481940,1792696211,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":144},962090768658,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Solve each problem.  \n1) For a canned food drive there were 3 types of cans vegetables donated: peas, carrots and green beans. To estimate how many of each type were donated, you pull out a sample. The results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 | \u003Cbr>6 |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>peas | 28 | 29 | 29 | 29 | 32 | 32 |\n| \u003Cbr>carrots | 32 | 28 | 31 | 29 | 31 | 28 |\n| \u003Cbr>green beans | 29 | 29 | 31 | 32 | 30 | 32 |\n\nBased on the information presented can you infer anything about the types of cans donated?  \nBecause of the very small discrepancy in the quantities it is unlikely any deduction can be made about the types of cans donated.  \n2) During a class election a teacher wanted to predict who would win. To do this she took a sample of students from each class and asked who they would vote for. The results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 |\n| --- | --- | --- |\n| \u003Cbr>Candidate A | 2 | 1 |\n| \u003Cbr>Candidate B | 1 | 3 |\n\nBased on the information presented can you infer anything about who will win the election?  \nBased on the information presented and the small samples gathered it is impossible to make any meaningful assumptions.  \n3) In a lake there are 3 types of fish: minnows, goldfish and sunfish. A fisherman wanted to estimate how many of each type there were. He scooped up several nets full and recorded his results (shown below) .  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 | \u003Cbr>6 |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>minnows | 40 | 40 | 42 | 42 | 38 | 40 |\n| \u003Cbr>goldfish | 24 | 26 | 20 | 21 | 22 | 22 |\n| \u003Cbr>sunfish | 30 | 33 | 30 | 31 | 31 | 32 |\n\nBased on the information presented can you infer anything about the number of different types of fish in the lake?  \nBased on the information presented there will be more minnows in the lake than goldfish or sunfish.  \nSolve each problem.  \n1) For a canned food drive there were 3 types of cans vegetables donated: peas, carrots and green beans. To estimate how many of each type were donated, you pull out a sample. The results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 | \u003Cbr>6 |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>peas | 28 | 29 | 29 | 29 | 32 | 32 |\n| \u003Cbr>carrots | 32 | 28 | 31 | 29 | 31 | 28 |\n| \u003Cbr>green beans | 29 | 29 | 31 | 32 | 30 | 32 |\n\nBased on the information presented can you infer anything about the types of cans donated?  \nBecause of the very small discrepancy in the quantities it is unlikely any deduction can be made about the types of cans donated.  \n2) During a class election a teacher wanted to predict who would win. To do this she took a sample of students from each class and asked who they would vote for. The results are shown below:  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 |\n| --- | --- | --- |\n| \u003Cbr>Candidate A | 2 | 1 |\n| \u003Cbr>Candidate B | 1 | 3 |\n\nBased on the information presented can you infer anything about who will win the election?  \nBased on the information presented and the small samples gathered it is impossible to make any meaningful assumptions.  \n3) In a lake there are 3 types of fish: minnows, goldfish and sunfish. A fisherman wanted to estimate how many of each type there were. He scooped up several nets full and recorded his results (shown below) .  \n\n| \u003Cbr>Sample \\# | \u003Cbr>1 | \u003Cbr>2 | \u003Cbr>3 | \u003Cbr>4 | \u003Cbr>5 | \u003Cbr>6 |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>minnows | 40 | 40 | 42 | 42 | 38 | 40 |\n| \u003Cbr>goldfish | 24 | 26 | 20 | 21 | 22 | 22 |\n| \u003Cbr>sunfish | 30 | 33 | 30 | 31 | 31 | 32 |\n\nBased on the information presented can you infer anything about the number of different types of fish in the lake?  \nBased on the information presented there will be more minnows in the lake than goldfish or sunfish.  \nSolve each problem.  \n1) For a canned food drive there were 3 types of cans vegetables donated: peas, carrots and green beans. To estimate how many of each type were donated, you pull out a ","cbCaiefw6eiKMRNG","https://ap.wps.com/l/cbCaiefw6eiKMRNG","pdf",882731,"English","# Problem Set\n## Canned food drive\n## Class election\n## Lake fish types","[{\"question\":\"What can be inferred from the canned food drive sample data?\",\"answer\":\"The quantities among the can types differ only slightly, so there is no strong, reliable deduction about which types were donated more overall.\"},{\"question\":\"Why is it impossible to make meaningful assumptions from the class election samples?\",\"answer\":\"The sample sizes are very small, so the vote counts for the candidates do not provide enough evidence for confident predictions.\"},{\"question\":\"What does the lake fish sample suggest about the fish types?\",\"answer\":\"The sample indicates there will be more minnows in the lake than goldfish or sunfish, based on the recorded net counts.\"}]","Examining Samples - Problems | PDF",1790797730,76]