[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-504299-105":59,"doc-detail-504299-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","hawaii-sbac-grade-8-math-mean-absolute-deviation-quick-review-practice","Hawaii SBAC Grade 8 Math - Mean Absolute Deviation - Quick Review & Practice","","Mean Absolute Deviation (MAD) is presented as a measure of how spread out a data set is, calculated by finding the mean, taking the absolute distance of each value from the mean, and then averaging those distances. The material explains why MAD is never negative, when it equals 0, and how smaller vs. larger MAD reflects tighter clustering or greater scattering. Worked examples and practice sets include both data-set problems and real-world word problems like rainfall and temperature spread, plus answer keys and step-by-step calculations.",{"@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/hawaii-sbac-grade-8-math-mean-absolute-deviation-quick-review-practice/504299/",{"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/hawaii-sbac-grade-8-math-mean-absolute-deviation-quick-review-practice/504299.png","ImageObject",300,407,{"name":92,"@type":93},"dabgoudw","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-23","2026-10-03",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you calculate mean absolute deviation (MAD)?","Question",{"text":112,"@type":113},"Find the mean, compute each value’s distance from the mean using absolute values, then average those distances.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does MAD tell you about a data set?",{"text":117,"@type":113},"A small MAD means values cluster tightly around the mean, while a large MAD means the values are more scattered.",{"name":119,"@type":110,"acceptedAnswer":120},"When is MAD equal to 0?",{"text":121,"@type":113},"MAD is 0 only when every value is identical, so every distance from the mean is 0.","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},504299,1791461202,{"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":34,"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},3985747860484,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Practice • Progress • Succeed | Hawaii SBAC Grade 8 Math [8.SP.4]  \n  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)[ ](EffortlessMath.com)Mean Absolute Deviation  \n\n| Name:   | D | ate:   | S | core:   / 24 |\n| --- | --- | --- | --- | --- |\n\nQuick Review  \nThe mean absolute deviation (MAD) measures how spread out a data set is—on average, how far each value sits from the mean. Here is the recipe: (1) find the mean of the data; (2) find each value’s distance from the mean (always positive, that is the absolute part); (3) take the mean of those distances. A small MAD means the data is clustered tightly near the mean; a large MAD means the data is more scattered. MAD is never negative, and it is 0 only when every value is identical.  \n⋄ Example: Find the mean absolute deviation of 3 , 5 , 7 , 9 , 11.  \n⇒ Step one, the mean: ~~3+5+7~~5~~+9+11~~ = ~~3~~5~~5~~ = 7 . Step two, the distance of each value from 7 : |3 − 7| = 4 , |5 − 7| = 2 ,|7 − 7| = 0 , |9 − 7| = 2 , |11 − 7| = 4 . Step three, average those distances: ~~4+2+0~~5~~+2+4~~ = ~~1~~5~~2~~ = 2 .4. So on average each value is 2.4 units from the mean—that is the MAD.  \nAnswer: MAD = ~~1~~5~~2~~ = 2 .4  \n\n| \u003Cbr>PRACTICE |  |  |  |\n| --- | --- | --- | --- |\n| Find the mean absolute deviation (MAD) of each | data set. |  |  |\n| 1. 2 , 4 , 6 |  | 11. | 12 , 14 , 16 , 18   |\n| 2. 5 , 5 , 5 , 5 |  | 12. | 20 , 22 , 24 , 26 , 28 |\n| 3. 1 , 2 , 3 , 4 , 5 |  | 13. | 1 , 5 , 9   |\n| 4. 10 , 20 , 30 |  | 14. | 7 , 7 , 7 , 7 , 7   |\n| 5. 4 , 4 , 4 , 8 |  | 15. | 2 , 6 , 10 , 14   |\n| 6. 2 , 2 , 8 , 8 |  | 16. | 5 , 10 , 15 , 20 , 25   |\n| 7. 6 , 7 , 8 , 9 , 10 |  | 17. | 3 , 8 , 13 |\n| 8. 0 , 10 |  | 18. | 9 , 9 , 9 , 15   |\n| 9. 3 , 3 , 3 , 9 |  | 19. | 4 , 8 , 12 , 16 , 20   |\n| 10. 1 , 1 , 1 , 1 , 6 |  | 20. | 10 , 10 , 10 , 10 , 30   |\n\n♦ Word Problems  \n21. Five days of rainfall (in mm) were 2 , 6 , 10 , 14 , 8. Find the MAD and explain what it tells you.    \n22. Two players’ quiz scores: Ana had 7 , 8 , 9 , 8 and Ben had 2 , 14 , 6 , 10. Whose scores are more consistent?    \n23. A baker weighs 5 loaves (in oz): 16 , 16 , 16 , 16 , 16. Find the MAD and say what it means.    \n24. Daily temperatures one week were 10 , 20 , 30 degrees on three days. Find the MAD and describe the spread.    \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nPractice • Progress • Succeed | Hawaii SBAC Grade 8 Math [8.SP.4]  \n  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAnswer Keys  \n1.  \n2.  \n3.  \n4.  \n20  \n3  \n5. ~~ 3~~2  \n6. 3 7. ~~ 6~~5 8. 5 9. ~~ 9~~4 10. ~~ 8~~5 11. 2 12. ~~ 1~~5~~2~~  \n13. ~~ 8~~3  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \n21.  \n22.  \n23.  \n24.  \n0  \n4  \n6  \n\n| 10  3 |\n| --- |\n| 9 4 |\n| 245 |\n\n32  \n5  \nmean = 8, MAD = 165 = 3 .2  \n\n| Ana (MAD ~~1~~2) is more consistent than Ben (MAD 4) |  |  |\n| --- | --- | --- |\n| MAD = 0 |  |  |\n| mean = 20, MAD = 203 ≈ 6.7 |  |  |\n\nStep-by-Step Explana","cbCairN2LK8vFjDv","https://ap.wps.com/l/cbCairN2LK8vFjDv","pdf",404031,"English","# Quick Review\n## Word Problems\n# Answer Keys\n# Step-by-Step Explanations","[{\"question\":\"How do you calculate mean absolute deviation (MAD)?\",\"answer\":\"Find the mean, compute each value’s distance from the mean using absolute values, then average those distances.\"},{\"question\":\"What does MAD tell you about a data set?\",\"answer\":\"A small MAD means values cluster tightly around the mean, while a large MAD means the values are more scattered.\"},{\"question\":\"When is MAD equal to 0?\",\"answer\":\"MAD is 0 only when every value is identical, so every distance from the mean is 0.\"}]","Hawaii SBAC Grade 8 Math - Mean Absolute Deviation - Quick Review & Practice | PDF",1791065889]