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It provides worked results for multiple color-based experiments: dispensing gumballs, drawing and replacing pegs, flipping and returning cards, and rolling balls into slots. Each problem uses the total trials (20) and color counts to determine expected frequencies, then matches them with tally-marked actual occurrences. ",{"@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-math/479690/",{"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-math/479690.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the “Expected and Actual Results” worksheet ask students to find?","Question",{"text":112,"@type":113},"It asks students to determine how many times each color should have come up (expected) and how many times it actually did occur (actual).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many times are the trials repeated for each scenario?",{"text":117,"@type":113},"Each scenario uses 20 repetitions, such as dispensing gumballs, drawing pegs, flipping cards, or rolling balls.",{"name":119,"@type":110,"acceptedAnswer":120},"How are gumballs, pegs, cards, and game board slots handled in the questions?",{"text":121,"@type":113},"Each uses the given counts to compute the expected color frequency, then compares it with tally-marked actual results.","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},479690,1792879534,{"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":29,"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 gumball was dispensed from the machine 20 times. Use the number of gumballs to work out how many times black 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| purple 4 \u003Cbr>gray 2 black 4 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A peg was drawn from the bin and put back 20 times. Use the number of pegs to work out how many times purple should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Pegs \u003Cbr>Results purple 8 white 2\u003Cbr>\u003Cbr>Should have come up:   Actually came up:   | 3.\u003Cbr>4. |  |\n|  |  |  |\n|  |  |  |\n| 3) A card was flipped over and turned back 20 times. Use the number of cards 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>Cards \u003Cbr>Results |  |  |\n| red 2 \u003Cbr>gray 1 green 1 \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 brown should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Slots \u003Cbr>Results white 3 brown 4 green 3 \u003Cbr>Should have come up:   Actually came up:   |  |  |\n| 6 |  | 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 dispensed from the machine 20 times. Use the number of gumballs to work out how many times black 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, 5 |\n| --- | --- | --- |\n|  |  | 16, 19 |\n|  |  |  |\n| purple 4 \u003Cbr>gray 2 black 4 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A peg was drawn from the bin and put back 20 times. Use the number of pegs to work out how many times purple should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Pegs \u003Cbr>Results purple 8 white 2\u003Cbr>\u003Cbr>Should have come up:   Actually came up:   | 3.\u003Cbr>4. | 5, 2 |\n|  |  | 8, 6 |\n|  |  |  |\n| 3) A card was flipped over and turned back 20 times. Use the number of cards 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>Cards \u003Cbr>Results |  |  |\n| red 2 \u003Cbr>gray 1 green 1 \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 brown should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Slots \u003Cbr>Results white 3 brown 4 green 3 \u003Cbr>Should have come up:   Actually came up:   |  |  |\n| 6 |  | 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 dispensed from the machine 20 times. Use the number of gumballs to work out how many times black 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| purple 4 \u003Cbr>gray 2 black 4 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A peg was drawn from the bin and put back 20 times. Use the number of pegs to work out how many times purple should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Pegs \u003Cbr>Results purple 8 white 2\u003Cbr>\u003Cbr>Should have come up:   Actually came up:   | 3.\u003Cbr>4. |  |\n|  |  |  |\n|  |  |  |\n| 3) A card was flipped over and turned back 20 times. Use the number of cards to work out how many times green should have come up, the","cbCaifyK3ySqMATx","https://ap.wps.com/l/cbCaifyK3ySqMATx","pdf",64898,"English","# Expected and Actual Results\n## Gumballs (20 trials)\n## Pegs (20 trials)\n## Cards (20 trials)\n## Game board balls (20 trials)\n## Color frequency comparison","[{\"question\":\"What does the “Expected and Actual Results” worksheet ask students to find?\",\"answer\":\"It asks students to determine how many times each color should have come up (expected) and how many times it actually did occur (actual).\"},{\"question\":\"How many times are the trials repeated for each scenario?\",\"answer\":\"Each scenario uses 20 repetitions, such as dispensing gumballs, drawing pegs, flipping cards, or rolling balls.\"},{\"question\":\"How are gumballs, pegs, cards, and game board slots handled in the questions?\",\"answer\":\"Each uses the given counts to compute the expected color frequency, then compares it with tally-marked actual results.\"}]","Expected and Actual Results - Answer Key - Math | PDF",1790793711]