[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-479685-105":59,"doc-detail-479685-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-solve-expected-vs-actual-color-frequencies","Expected and Actual Results - Solve Expected vs Actual Color Frequencies","","Math worksheet for recording simulated draws with replacement and comparing expected color frequencies to actual outcomes. Prompts describe drawing items (gumballs, stones, beads, chips, blocks, buttons, ribbon) repeatedly and using the initial counts to compute how many times each color should appear over 20 trials. Students then count tally marks or given results to find what actually happened. Includes an answer key section for checking the recorded frequencies.",{"@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-solve-expected-vs-actual-color-frequencies/479685/",{"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-solve-expected-vs-actual-color-frequencies/479685.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find the expected number of times a color should appear?","Question",{"text":112,"@type":113},"Use the given number of items of each color to determine the expected proportion, then multiply by 20 trials. That gives the expected count for each color.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What do you do to find how many times each color actually happened?",{"text":117,"@type":113},"Count the tally marks (or use the recorded results) for that color from the 20 replacement draws to get the actual count.",{"name":119,"@type":110,"acceptedAnswer":120},"Which tasks are included in the worksheet?",{"text":121,"@type":113},"It includes multiple replacement-draw scenarios: gumballs, stones, beads, and chips, and also an additional set with blocks, buttons, and ribbons, each requiring an expected vs actual comparison.","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},479685,1790823313,{"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":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":143},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 gumball was drawn and put back 20 times. Use the number of gumballs to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color Gumballs Results | 1.\u003Cbr>2. | Answers |\n| --- | --- | --- |\n|  |  |  |\n| yellow 2 purple 1 green 2\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A stone was drawn from the pouch and put back 20 times. Use the number of stones to work out how many times pink should have come up, then count the tally marks to see how many times it did.\u003Cbr>| 3.\u003Cbr>4. |  |\n|  |  |  |\n|  |  |  |\n| green 2 pink 2 white 1\u003Cbr>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>Color \u003Cbr>Beads \u003Cbr>Results purple 2 \u003Cbr>white 2\u003Cbr>|  |  |\n| brown 1\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) A chip was drawn and put back 20 times. Use the number of chips to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Chips \u003Cbr>Results yellow 3 \u003Cbr>green 2 \u003Cbr>\u003Cbr>\u003Cbr>Should have come up:   Actually came up:   |  |  |\n| 1 |  | 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 gumball was drawn and put back 20 times. Use the number of gumballs to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Gumballs \u003Cbr>Results | 1.\u003Cbr>2. | Answers\u003Cbr>8, 8 |\n| --- | --- | --- |\n|  |  | 8, 12 |\n|  |  |  |\n| yellow 2 purple 1 green 2\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A stone was drawn from the pouch and put back 20 times. Use the number of stones to work out how many times pink should have come up, then count the tally marks to see how many times it did.\u003Cbr>| 3.\u003Cbr>4. | 4, 1 |\n|  |  | 8, 5 |\n|  |  |  |\n| green 2 pink 2 white 1\u003Cbr>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>Color \u003Cbr>Beads \u003Cbr>Results purple 2 \u003Cbr>white 2\u003Cbr>|  |  |\n| brown 1\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) A chip was drawn and put back 20 times. Use the number of chips to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Chips \u003Cbr>Results yellow 3 \u003Cbr>green 2 \u003Cbr>\u003Cbr>\u003Cbr>Should have come up:   Actually came up:   |  |  |\n| 1 |  | 1-4  75  50  25  0  |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nExpected and Actual Results  \nName:  \n\n| Find how many times the color was expected and how many times it happened.\u003Cbr>1) A gumball was drawn and put back 20 times. Use the number of gumballs to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color Gumballs Results | 1.\u003Cbr>2. | Answers |\n| --- | --- | --- |\n|  |  |  |\n| yellow 2 purple 1 green 2\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A stone was drawn from the pouch and put back 20 times. Use the number of stones to work out how many times pink should have come up, then count the tally marks to see how many times it did.\u003Cbr>| 3.\u003Cbr>4. |  |\n|  |  |  |\n|  |  |  |\n| green 2 pink 2 white 1\u003Cbr>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>C","cbCaisJGfLlJdACa","https://ap.wps.com/l/cbCaisJGfLlJdACa","pdf",650413,"English","# Expected and Actual Results\n## Gumballs\n## Stones\n## Beads\n## Chips\n## Blocks, Buttons, and Ribbons","[{\"question\":\"How do you find the expected number of times a color should appear?\",\"answer\":\"Use the given number of items of each color to determine the expected proportion, then multiply by 20 trials. That gives the expected count for each color.\"},{\"question\":\"What do you do to find how many times each color actually happened?\",\"answer\":\"Count the tally marks (or use the recorded results) for that color from the 20 replacement draws to get the actual count.\"},{\"question\":\"Which tasks are included in the worksheet?\",\"answer\":\"It includes multiple replacement-draw scenarios: gumballs, stones, beads, and chips, and also an additional set with blocks, buttons, and ribbons, each requiring an expected vs actual comparison.\"}]","Expected and Actual Results - Solve Expected vs Actual Color Frequencies | PDF",1790793704,76]