[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-273951-105":59,"doc-detail-273951-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","weighted-averages-and-missing-data-values-quick-review-and-practice","Weighted Averages and Missing Data Values - Quick Review and Practice","","Weighted averages multiply each value by its weight (or count), sum those products, and divide by the total weight to obtain an average. The material also explains how to determine a missing value when the overall mean is known by reconstructing the total from the mean, then subtracting the known terms. It includes multiple practice questions covering simple weighted means and word problems, followed by an answer key and step-by-step explanations.",{"@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/weighted-averages-and-missing-data-values-quick-review-and-practice/273951/",{"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/weighted-averages-and-missing-data-values-quick-review-and-practice/273951.png","ImageObject",300,407,{"name":92,"@type":93},"Sarah ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-15",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},"How do you calculate 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},"What method finds a missing value when the mean is known?",{"text":117,"@type":113},"Compute the total using the mean and the number of values/total weight, then subtract the known values to get the missing one.",{"name":119,"@type":110,"acceptedAnswer":120},"What kinds of problems are included in the practice set?",{"text":121,"@type":113},"The practice includes mean/weighted-average calculations, missing-value questions, and word problems such as combining test grades and homework/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},273951,1790095156,{"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":29,"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},962085320529,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Practice 􀀏 Progress 􀀏 Succeed | HSPT 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 | HSPT 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 value","cbCaipORTcVvsaNp","https://ap.wps.com/l/cbCaipORTcVvsaNp","pdf",267896,"English","# Quick Review and Helpful Hints\n## Practice Problems\n## Word Problems\n# Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"How do you calculate a weighted average?\",\"answer\":\"Multiply each value by its weight, add the products, then divide by the total weight.\"},{\"question\":\"What method finds a missing value when the mean is known?\",\"answer\":\"Compute the total using the mean and the number of values/total weight, then subtract the known values to get the missing one.\"},{\"question\":\"What kinds of problems are included in the practice set?\",\"answer\":\"The practice includes mean/weighted-average calculations, missing-value questions, and word problems such as combining test grades and homework/exam weighting.\"}]","Weighted Averages and Missing Data Values - Quick Review and Practice | PDF",1789473615]