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Students calculate expected frequencies from repeated draws or spins (typically 20 trials), then compare expected outcomes with recorded actual results for different colors and objects. Tasks cover drawing cubes, stones, chips, and spinning a wheel, with columns for expected counts and the observed tally-based counts, including a final summary of answer values.",{"@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-1-4/479693/",{"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-1-4/479693.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":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask students to find?","Question",{"text":112,"@type":113},"Students find how many times each color was expected to occur and how many times it actually happened, based on repeated draws or spins.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are expected results determined?",{"text":117,"@type":113},"Expected results are calculated from the number of items producing each color and the total number of trials (commonly 20).",{"name":119,"@type":110,"acceptedAnswer":120},"How are actual results recorded?",{"text":121,"@type":113},"Actual results are taken from tally marks counted after the draws or spin, showing how many times each color occurred.","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},479693,1792871487,{"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":39,"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 cube was drawn and put back 20 times. Use the number of cubes to work out how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>| 1.\u003Cbr>2. | Answers |\n| --- | --- | --- |\n|  |  |  |\n| yellow 4 purple 3 blue 3 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A stone was drawn and put back 20 times. Use the number of stones to workout how many times blue should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Stones \u003Cbr>Results blue 2 pink 2 | 3.\u003Cbr>4. |  |\n|  |  |  |\n|  |  |  |\n| white 1\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A chip was drawn and put back 20 times. Use the number of chips 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>Chips \u003Cbr>Results gray 2 |  |  |\n| purple 2 \u003Cbr>blue 1 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) The wheel was spun 20 times. Use the number of wedges to work out how many times red should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Wedges \u003Cbr>Results red 2 yellow 1 brown 2 \u003Cbr>Should have come up:   Actually came up:   |  |  |\n| 8 |  | 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 cube was drawn and put back 20 times. Use the number of cubes to work out how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Cubes \u003Cbr>Results | 1.\u003Cbr>2. | Answers\u003Cbr>8, 8 |\n| --- | --- | --- |\n|  |  | 8, 6 |\n|  |  |  |\n| yellow 4 purple 3 blue 3 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A stone was drawn and put back 20 times. Use the number of stones to workout how many times blue should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Stones \u003Cbr>Results blue 2 pink 2 | 3.\u003Cbr>4. | 4, 2 |\n|  |  | 8, 7 |\n|  |  |  |\n| white 1\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A chip was drawn and put back 20 times. Use the number of chips 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>Chips \u003Cbr>Results gray 2 |  |  |\n| purple 2 \u003Cbr>blue 1 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) The wheel was spun 20 times. Use the number of wedges to work out how many times red should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Wedges \u003Cbr>Results red 2 yellow 1 brown 2 \u003Cbr>Should have come up:   Actually came up:   |  |  |\n| 8 |  | 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 cube was drawn and put back 20 times. Use the number of cubes to work out how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>| 1.\u003Cbr>2. | Answers |\n| --- | --- | --- |\n|  |  |  |\n| yellow 4 purple 3 blue 3 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A stone was drawn and put back 20 times. Use the number of stones to workout how many times blue should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Stones \u003Cbr>Results blue 2 pink 2 | 3.\u003Cbr>4. |  |\n|  |  |  |\n|  |  |  |\n| white 1\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A chip was drawn and put back 20 times. Use the number of chips 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>Chips \u003Cbr>Results gray 2 |  |  |\n| purple 2 \u003Cbr>blue 1 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) The whe","cbCaimxUxF7zj9UZ","https://ap.wps.com/l/cbCaimxUxF7zj9UZ","pdf",63274,"English","# Expected and Actual Results\n## Cube drawing (20 times)\n## Stone drawing (20 times)\n## Chip drawing (20 times)\n## Wheel spinning (20 times)","[{\"question\":\"What does the worksheet ask students to find?\",\"answer\":\"Students find how many times each color was expected to occur and how many times it actually happened, based on repeated draws or spins.\"},{\"question\":\"How are expected results determined?\",\"answer\":\"Expected results are calculated from the number of items producing each color and the total number of trials (commonly 20).\"},{\"question\":\"How are actual results recorded?\",\"answer\":\"Actual results are taken from tally marks counted after the draws or spin, showing how many times each color occurred.\"}]","Expected and Actual Results - Answer Key - 1-4 | PDF",1790793718]