[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-479686-105":59,"doc-detail-479686-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","expected-and-actual-results-answer-key","Expected and Actual Results - Answer Key","","Answer key for a math activity titled “Expected and Actual Results,” focused on counting outcomes from repeated trials. It instructs students to compute how many times a color should appear after 20 trials using given button, bead, and slot totals, then compare those expected counts with tally-mark results from the outcomes. The problems include drawing buttons, picking and replacing buttons, pulling beads, and rolling a ball into a game board, covering multiple colors such as yellow, gray, blue, white, and brown.",{"@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/expected-and-actual-results-answer-key/479686/",{"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/expected-and-actual-results-answer-key/479686.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does “expected” mean in these problems?","Question",{"text":112,"@type":113},"“Should have come up” refers to the expected number of times each color ought to occur after 20 trials based on the given counts.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find “actually came up”?",{"text":117,"@type":113},"“Actually came up” is determined by counting the tally marks from the recorded outcomes for each color.",{"name":119,"@type":110,"acceptedAnswer":120},"Which trials are included in the answer key?",{"text":121,"@type":113},"The activity covers drawing buttons from a jar and replacing them, picking and replacing buttons, pulling and replacing beads, and rolling a ball into a game board 20 times.","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},479686,1793148005,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":66,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":133,"file_id":134,"file_url":135,"file_type":136,"file_size":137,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":138,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":139,"faqs":140,"seo_title":141,"seo_description":67,"update_tm":142,"read_time":39},4398046744996,"Expected and Actual Results  \nName:  \n\n| Find how many times the color was expected and how many times it happened.\u003Cbr>1) A button was drawn from the jar and put back 20 times. Use the number of buttons to work out how many times gray should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Buttons \u003Cbr>Results yellow 1 white 1 gray 3 \u003Cbr>\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n| Should have come up:   Actually came up:  \u003Cbr>2) A button was picked and put back 20 times. Use the number of buttons to workout how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color Buttons Results\u003Cbr>blue 2 \u003Cbr>\u003Cbr>yellow 2 \u003Cbr>|  |  |\n| Should have come up:   Actually came up:  \u003Cbr>3) A bead was pulled from the jar and put back 20 times. Use the number of beads to work out how many times brown should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) A ball rolled into the game board 20 times. Use the number of slots to work out how many times blue should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Slots \u003Cbr>Results blue 5 \u003Cbr>|  |  |\n| white 5 \u003Cbr>Should have come up:   Actually came up:   |  |  |\n|  |  | 1-4  75  50  25  0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nExpected and Actual Results  \nName: Answer Key  \n\n| Find how many times the color was expected and how many times it happened.\u003Cbr>1) A button was drawn from the jar and put back 20 times. Use the number of buttons to work out how many times gray should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Buttons \u003Cbr>Results yellow 1 white 1 gray 3 \u003Cbr>\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers\u003Cbr>12, 15 |\n| --- | --- | --- |\n|  |  | 10, 13 |\n|  |  | 5, 8 |\n|  |  | 10, 14 |\n|  |  |  |\n| Should have come up:   Actually came up:  \u003Cbr>2) A button was picked and put back 20 times. Use the number of buttons to workout how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color Buttons Results\u003Cbr>blue 2 \u003Cbr>\u003Cbr>yellow 2 \u003Cbr>|  |  |\n| Should have come up:   Actually came up:  \u003Cbr>3) A bead was pulled from the jar and put back 20 times. Use the number of beads to work out how many times brown should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) A ball rolled into the game board 20 times. Use the number of slots to work out how many times blue should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Slots \u003Cbr>Results blue 5 \u003Cbr>|  |  |\n| white 5 \u003Cbr>Should have come up:   Actually came up:   |  |  |\n|  |  |  |\n\nMath  \nSeed: 682865930-1379  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-4 75 50 25 0  \nExpected and Actual Results  \nName:  \n\n| Find how many times the color was expected and how many times it happened.\u003Cbr>1) A button was drawn from the jar and put back 20 times. Use the number of buttons to work out how many times gray should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Buttons \u003Cbr>Results yellow 1 white 1 gray 3 \u003Cbr>\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n| Should have come up:   Actually came up:  \u003Cbr>2) A button was picked and put back 20 times. Use the number of buttons to workout how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color Buttons Results\u003Cbr>blue 2 \u003Cbr>\u003Cbr>yellow 2 \u003Cbr>|  |  |\n| Should have come up:   Actually came up:  \u003Cbr>3) A bead was pulled from the jar and put back 20 times. Use the number of beads to work out how many times brown should have come up, then count the tally marks to see how many times","cbCaifpMwvLBto9Y","https://ap.wps.com/l/cbCaifpMwvLBto9Y","pdf",65049,"English","# Expected and Actual Results\n## 1) Button drawn from the jar (20 trials)\n## 2) Button picked and replaced (20 trials)\n## 3) Bead pulled and replaced (20 trials)\n## 4) Ball rolled into the game board (20 trials)","[{\"question\":\"What does “expected” mean in these problems?\",\"answer\":\"“Should have come up” refers to the expected number of times each color ought to occur after 20 trials based on the given counts.\"},{\"question\":\"How do you find “actually came up”?\",\"answer\":\"“Actually came up” is determined by counting the tally marks from the recorded outcomes for each color.\"},{\"question\":\"Which trials are included in the answer key?\",\"answer\":\"The activity covers drawing buttons from a jar and replacing them, picking and replacing buttons, pulling and replacing beads, and rolling a ball into a game board 20 times.\"}]","Expected and Actual Results - Answer Key | PDF",1790793707]