[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-289438-105":59,"doc-detail-289438-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","lesson-3-percentiles","Lesson 3 - Percentiles","","Lesson 3 introduces percentile rank as a way to compare a specific value within a data set. The material explains how percentiles describe an individual’s position relative to others and why percentiles differ from raw scores. It covers interpretation of percentile rank through real exam scenarios and provides the calculation method using b (data below) and n (total data). Examples include computing Davis’s percentile from 800 students, rounding rules, and common notations such as P25, P50, and P75, followed by assignment exercises on aptitude tests, instruments played, family income distribution, and admission decisions.",{"@graph":69,"@context":123},[70,84,106],{"@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/lesson-3-percentiles/289438/",{"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/lesson-3-percentiles/289438.png","ImageObject",300,407,{"name":92,"@type":93},"Maya Linwood","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-17",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does percentile rank mean in a data set?","Question",{"text":113,"@type":114},"Percentile rank indicates the position of a value in a set of data by describing how it compares to all other values. It is interpreted as the percentage of scores below a particular score.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you calculate percentile rank?",{"text":118,"@type":114},"Percentile rank is calculated as (b / n) × 100, where b is the number of data below the given score and n is the total number of data in the set. Percentiles should be rounded up to the next whole number.",{"name":120,"@type":111,"acceptedAnswer":121},"How can two students with the same exam score differ in percentile rank?",{"text":122,"@type":114},"A score’s percentile depends on the distribution of the group. Even if both students have the same score, different comparisons (e.g., how many people scored above or below) can yield different percentile ranks, leading to different interpretations of relative performance.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},289438,1789635242,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":144},962084928432,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Lesson 3: Percentiles  \nA Percentile Rank indicates the position of a term in a set of data allowing us to compare it to all of the others.  \nThe use of percentile rank includes the ranking of job applicants or the ranking of student entrance exams into certain universities and community college programs. Percentiles are even used by pediatricians to describe infant and child development (such as, height, weight, and head circumference) .  \nExample \\#1 :  \nIn a college entrance examination a score of 75% might seem quite good. But individual scores/achievement are not the same as how you perform compared to the group.  \nLook at the following two scenarios:  \nScenario \\#1-student performs better than 25 students out of 100 students.  \n25 students | 75 students  \nExam Score = 75%  \nScenario \\#2-student performs better than 80 students out of 100 students.  \n80 students | 20 students  \nExam Score = 75%  \nOne way of comparing scores is to use Percentile Rank , or the percentage of scores that fall below a particular score.  \nThus, in the above examples the first scenario is only the 25th percentile while the second scenario is the 75th percentile. The higher the percentile rank the better!  \nPercentile rank is calculated as follows:  \n\n| Percentile Rank | 􀯕 \u003Cbr>􀯡 | × 100 |\n| --- | --- | --- |\n| Where b = the number of data BELOW a given score.\u003Cbr>Where n = the total number of data in the set. |  |  |\n\nExample \\#2 : A university entrance exam was written by 800 students. Davis scored 65% on the exam. 620 applicants scored lower than he did. Calculate his percentile rank.  \nSolution: b =  \nn =  \nPercentile Rank =  \nNote: Always round percentiles up to the next whole number.  \nThe percentile rank describes the percentage of the group that performed below Davis. Therefore, you can interpret percentile rank as:  \n􀁸   % of all applicants scored lower than Davis.  \n􀁸   % of all applicants scored higher than Davis.  \n􀁸 Davis scored better than   % of all applicants.  \n􀁸 Davis scored lower than   % of all applicants.  \nThe following notation is used to represent percentile rank:  \nP79 is equivalent to the 79th percentile.  \nP25 , P50 , and P75 are special percentile ranks that represent the lower quartile, the median, and the upper quartile, respectively.  \n25th 50th 75th  \nLower quartile Median Upper Quartile  \nAssignment 3: Percentiles  \n1. A group of Gr. 10 students was given a differential aptitude test (DAT) in order to assess their strengths and weaknesses in English and mathematics. The test consisted of eight sub-tests. Percentile rankings were determined for each student for each sub-test.  \nUse the percentile rankings for Student A and Student B to answer the questions that follow:  \na) What aptitude appears to be the strongest for Student A?  \nb) What percentage of students who wrote this test scored lower than Student A in Mathematical Skills?  \nc) For the sub-test in Reading Comprehension, how do Student A and Student B compare with the rest of the students who wrote this test?  \nd) With reference to this particular aptitude test, predict the area of study in which you think Student B would most \"likely\" be successful.  \ne) Which aptitude appears to be the weakest for Student A?  \n2.  \n3. In Leanne's band class of 50 students, 26 students can play fewer instruments than Leanne can, and 4 students can play as many instruments as she can.  \na) Find her percentile rank. What does this percentile mean?  \nb) What percent of students play more instruments than Leanne?  \n4. The following statistics are available on the family income for the community of Manwintoba that has a total of 2200 families:  \nP25 = $15 , 500 P50 = $28,475  \nP75 = $42,750 P85 = $64,250  \nDetermine what percent and how many families out of 2200 earn:  \na) less than $28,475  \n  %   families  \nb) less than $42,750  \n  %   families  \nc) more than $64,250  \n  %   families  \nd) more than $15,500  \n  %   families  \ne) between $15,500 and $64,250  \n  %   families  \nf)","cbCailu5RSBTwXuQ","https://ap.wps.com/l/cbCailu5RSBTwXuQ","pdf",371775,"English","# Percentile Rank\n## Definition and Real-World Use\n## Example Scenarios and Interpretation\n## Percentile Rank Calculation Formula\n## Example 2: University Entrance Exam\n## Percentile Notation (P25, P50, P75)\n# Assignment 3: Percentiles\n## Questions on Aptitude Tests\n## Questions on Instruments Played\n## Questions on Family Income\n## Additional Percentile and Admission Problems","[{\"question\":\"What does percentile rank mean in a data set?\",\"answer\":\"Percentile rank indicates the position of a value in a set of data by describing how it compares to all other values. It is interpreted as the percentage of scores below a particular score.\"},{\"question\":\"How do you calculate percentile rank?\",\"answer\":\"Percentile rank is calculated as (b / n) × 100, where b is the number of data below the given score and n is the total number of data in the set. Percentiles should be rounded up to the next whole number.\"},{\"question\":\"How can two students with the same exam score differ in percentile rank?\",\"answer\":\"A score’s percentile depends on the distribution of the group. Even if both students have the same score, different comparisons (e.g., how many people scored above or below) can yield different percentile ranks, leading to different interpretations of relative performance.\"}]","Lesson 3 - Percentiles | PDF",15]