[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-274623-105":59,"doc-detail-274623-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","shsat-math-weighted-averages-and-missing-data-values","SHSAT Math - Weighted Averages and Missing Data Values","","Weighted averages lesson for SHSAT math focuses on computing an average when each value has a corresponding weight or count, then dividing the sum of weighted products by the total weight. The material also teaches how to determine a missing value when the overall mean is known by working backward from the implied total. Includes quick review explanations, multiple practice problems across average and word problems, answer keys, and concise step-by-step solution guidance.",{"@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/shsat-math-weighted-averages-and-missing-data-values/274623/",{"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/shsat-math-weighted-averages-and-missing-data-values/274623.png","ImageObject",300,407,{"name":92,"@type":93},"McQueen","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-15",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},"What is the formula for a weighted average?","Question",{"text":112,"@type":113},"Multiply each value by its weight, add the products, then divide by the total weight.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find a missing data value when the mean is known?",{"text":117,"@type":113},"Use the mean to compute the total of all values, then subtract the values you already know to get the missing one.",{"name":119,"@type":110,"acceptedAnswer":120},"What types of problems are included in this SHSAT math practice?",{"text":121,"@type":113},"It includes practice problems for means and missing values, plus word problems involving test scores, classes, quizzes, and homework vs. exam weighting.","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},274623,1790003394,{"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},5909890329169,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Practice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \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)  \nWeighted Averages and Missing Data Values  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nA weighted average multiplies each value by its weight (or count), adds the products, then  \ndivides by the total weight. To 􀀂nd a missing value when the mean is known, multi  \nply the mean by the number of values to get the total, then subtract the values you know.  \n▷ Example: A student scores 80 on 2 tests and 95 on 3 tests. Find  \n80(2) + 95(3)  160 + 285  445  \nthe weighted average. Work: = =  \n2 + 3 5 5 .⋆ Answer: 89  \nP (value 􀀂 weight) P weight  \nMultiply, add, then divide.  \n♦ Practice Problems  \nFind each average or missing value.  \n1. Mean of 4 , 6 , 8  \n2. Mean of 10 , 20 , 30 , 40  \n3. 90(1) + 80(1) 2  \n4. 70(2) + 100(3) 5  \n5. Mean of 3 tests is 80; two are 75 , 85. Find the third  \n8. Mean of 2 , 4 , 6 , 8 , 10  \n9. Mean of 4 values is 10; three are 8 , 10 , 12. Find the missing value  \n10.  \n11.  \n12.  \n13.  \n14.  \n100(3) + 50(1)  \n4  \nMean of 12 , 18  \nMean of two is 20; one is 15. Find the other  \n80(2) + 90(2)  \n4  \nMean of 3 , 7 , 11  \n♦ Word Problems  \n15. Grades: 85 on 2 tests and 95 on 2 tests. Find the weighted average.  \n16. A class of 10 averages 70; a class of 20 averages 85. Find the combined average.  \n17. Five quiz scores average 8; four of them are 7 , 9 , 8 , 10. Find the 􀀂fth.  \n18. Homework counts 40% and the exam 60% . Homework = 90, exam = 80 . Find the 􀀂nal grade.  \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  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \nAnswer Keys  \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. 6 7. 80 13. 85  \n2. 25 8. 6 14. 7  \n3. 85 9. 10 15. 90  \n4. 88 10. 87.5 16. 80  \n5. 80 11. 15 17. 6  \n6. 5 12. 25 18. 84  \nStep-by-Step Explanations  \n1. Start by naming the process: For an average, add the values and divide by how many values there are; for a missing value, work backward from the total. The setup/work is 4~~ ~~+~~ ~~63~~ ~~+~~ ~~8 = 183 = 6 . So the 􀀂nal answer is 6.  \n2. A good way to think about this is: For an average, add the values and divide by how many values there are; for a missing value, work backward from the total. The setup/work is 1040 = 25 . So the 􀀂nal answer is 25.  \n3. Step by step: For an average, add the values and divide by how many values there are; for a missing value, work backward from the total. The setup/work is 90~~ ~~+2~~ ~~80 = 85 . So the 􀀂nal answer is 85.  \n4. Take it one move at a time: For an average, add the values and divide by how many values there are; for a missing value, work backward from the total. The setup/work is 140~~ ~~+5~~ ~~300 = 4450 = 88 . So the 􀀂nal answer is 88.  \n5. Start by naming the process: For an average, add the values and divide by how many val","cbCait0EAjmMFfJs","https://ap.wps.com/l/cbCait0EAjmMFfJs","pdf",271651,"English","# Quick Review and Helpful Hints\n## Practice Problems\n## Word Problems\n# Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"What is the formula for a weighted average?\",\"answer\":\"Multiply each value by its weight, add the products, then divide by the total weight.\"},{\"question\":\"How do you find a missing data value when the mean is known?\",\"answer\":\"Use the mean to compute the total of all values, then subtract the values you already know to get the missing one.\"},{\"question\":\"What types of problems are included in this SHSAT math practice?\",\"answer\":\"It includes practice problems for means and missing values, plus word problems involving test scores, classes, quizzes, and homework vs. exam weighting.\"}]","SHSAT Math - Weighted Averages and Missing Data Values | PDF",1789480050]