[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-476204-105":59,"doc-detail-476204-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","finding-mode-answer-key","Finding Mode - Answer Key","","Find the mode for multiple sets of given numbers. The worksheet presents 15 numbered problems, each listing a sequence of integers with repeated values. For every set, the task is to identify the number that occurs most frequently (the mode). An accompanying answer key supplies the corresponding mode(s) for each problem, enabling self-check and quick verification of solutions for classroom or practice use.",{"@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/finding-mode-answer-key/476204/",{"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/finding-mode-answer-key/476204.png","ImageObject",300,407,{"name":92,"@type":93},"Đào","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does “mode” mean in these problems?","Question",{"text":112,"@type":113},"Mode is the number that appears most frequently in a given set. Identify the value with the highest repeat count.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find the mode for each numbered set?",{"text":117,"@type":113},"Count how many times each number occurs in the set, then choose the number with the greatest frequency.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct answers be found?",{"text":121,"@type":113},"The document includes an “Answer Key” section that lists the mode for each problem number so results can be checked.","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},476204,1791600077,{"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":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},1374402968488,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Finding Mode  \nName:  \n\n| Find the mode of each set of numbers.\u003Cbr>1) 51 , 51 , 63 , 55 , 57 , 54 , 52 , 65\u003Cbr>2) 51 , 51 , 44 , 33 , 43 , 52 , 34 , 49\u003Cbr>3) 90 , 90 , 77 , 88 , 83 , 86\u003Cbr>4) 80 , 80 , 75 , 71 , 69 , 82 , 66\u003Cbr>5) 17 , 17 , 25 , 25 , 16\u003Cbr>6) 29 , 29 , 29 , 28 , 46 , 43 , 40 , 28\u003Cbr>7) 68 , 68 , 72 , 72 , 69 , 83 , 85 , 79\u003Cbr>8) 86 , 86 , 90 , 76 , 85 , 81 , 88\u003Cbr>9) 55 , 55 , 48 , 54 , 53 , 57 , 38\u003Cbr>10) 76 , 76 , 75 , 77 , 75 , 70 , 66 , 68 , 63\u003Cbr>11) 40 , 40 , 56 , 46 , 47 , 51 , 40 , 41\u003Cbr>12) 74 , 74 , 58 , 68 , 55 , 68 , 73 , 72\u003Cbr>13) 27 , 27 , 34 , 41 , 27\u003Cbr>14) 56 , 56 , 61 , 68 , 71 , 65 , 74 , 62 , 70\u003Cbr>15) 24 , 24 , 27 , 28 , 10 , 21 , 28 , 16 , 18 |  |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 10 | 1-10\u003Cbr>11-15 | 93 | 87 | 80 |  | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  |  |  | 27 | 20 | 13 |  | 7 | 0 |  |  |  |  |  |\n\nFinding Mode  \nName: Answer Key  \n\n| Find the mode of each set of numbers.\u003Cbr>1) 51 , 51 , 63 , 55 , 57 , 54 , 52 , 65\u003Cbr>51 , 51 , 52 , 54 , 55 , 57 , 63 , 65 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  51  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | 51\u003Cbr>33 | ,\u003Cbr>, | 51\u003Cbr>34 | ,\u003Cbr>, | 44\u003Cbr>43 | ,\u003Cbr>, | 33\u003Cbr>44 | ,\u003Cbr>, | 43\u003Cbr>49 | ,\u003Cbr>, | 52\u003Cbr>51 | ,\u003Cbr>, | 34\u003Cbr>51 | ,\u003Cbr>, | 49\u003Cbr>52 |  |  |  |  |  |  |  | 2.  51  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | 90\u003Cbr>77 | ,\u003Cbr>, | 90\u003Cbr>83 | ,\u003Cbr>, | 77\u003Cbr>86 | ,\u003Cbr>, | 88\u003Cbr>88 | ,\u003Cbr>, | 83\u003Cbr>90 | ,\u003Cbr>, | 86\u003Cbr>90 |  |  |  |  |  |  |  |  |  |  |  | 3.  90  4. 80 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | 80\u003Cbr>66 | ,\u003Cbr>, | 80\u003Cbr>69 | ,\u003Cbr>, | 75\u003Cbr>71 | ,\u003Cbr>, | 71\u003Cbr>75 | ,\u003Cbr>, | 69\u003Cbr>80 | ,\u003Cbr>, | 82\u003Cbr>80 | ,\u003Cbr>, | 66\u003Cbr>82 |  |  |  |  |  |  |  |  |  | 5.  17 , 25  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | 17\u003Cbr>16 | ,\u003Cbr>, | 17\u003Cbr>17 | ,\u003Cbr>, | 25\u003Cbr>17 | ,\u003Cbr>, | 25\u003Cbr>25 | ,\u003Cbr>, | 16\u003Cbr>25 |  |  |  |  |  |  |  |  |  |  |  |  |  | 6.  29  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | 29\u003Cbr>28 | ,\u003Cbr>, | 29\u003Cbr>28 | ,\u003Cbr>, | 29\u003Cbr>29 | ,\u003Cbr>, | 28\u003Cbr>29 | ,\u003Cbr>, | 46\u003Cbr>29 | ,\u003Cbr>, | 43\u003Cbr>40 | ,\u003Cbr>, | 40\u003Cbr>43 | ,\u003Cbr>, | 28\u003Cbr>46 |  |  |  |  |  |  |  | 7.  68 , 72  8. 86 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | 68\u003Cbr>68 | ,\u003Cbr>, | 68\u003Cbr>68 | ,\u003Cbr>, | 72\u003Cbr>69 | ,\u003Cbr>, | 72\u003Cbr>72 | ,\u003Cbr>, | 69\u003Cbr>72 | ,\u003Cbr>, | 83\u003Cbr>79 | ,\u003Cbr>, | 85\u003Cbr>83 | ,\u003Cbr>, | 79\u003Cbr>85 |  |  |  |  |  |  |  | 9.  55  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | 86\u003Cbr>76 | ,\u003Cbr>, | 86\u003Cbr>81 | ,\u003Cbr>, | 90\u003Cbr>85 | ,\u003Cbr>, | 76\u003Cbr>86 | ,\u003Cbr>, | 85\u003Cbr>86 | ,\u003Cbr>, | 81\u003Cbr>88 | ,\u003Cbr>, | 88\u003Cbr>90 |  |  |  |  |  |  |  |  |  | 10.  75 , 76  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | 55 , 55 , 48 , 54 , 53 , 57 , 38 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 11.  40  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 38\u003Cbr>76\u003Cbr>63 | ,\u003Cbr>,\u003Cbr>, | 48\u003Cbr>76\u003Cbr>66 | ,\u003Cbr>,\u003Cbr>, | 53\u003Cbr>75\u003Cbr>68 | ,","cbCaijFozetTeKet","https://ap.wps.com/l/cbCaijFozetTeKet","pdf",44328,"English","# Find the mode of each set of numbers\n## Problems 1-15","[{\"question\":\"What does “mode” mean in these problems?\",\"answer\":\"Mode is the number that appears most frequently in a given set. Identify the value with the highest repeat count.\"},{\"question\":\"How do you find the mode for each numbered set?\",\"answer\":\"Count how many times each number occurs in the set, then choose the number with the greatest frequency.\"},{\"question\":\"Where can the correct answers be found?\",\"answer\":\"The document includes an “Answer Key” section that lists the mode for each problem number so results can be checked.\"}]","Finding Mode - Answer Key | PDF",1790787437]