[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-207076-105":3,"detail-sidebar-cat-0-en-105":74,"doc-detail-207076-en":124},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":67,"head_meta":69,"extra_data":71,"updated_unix":73},105,"en","interpolation-questions-edexcel-past-exam-questions","Interpolation Questions - Edexcel Past Exam Questions","","Interpolation questions based on grouped frequency data, requiring estimation of median, quartiles, and related summary statistics from interval tables. Tasks include applying interpolation to find Q2, Q1, and Q3 for travel-distance data, using linear interpolation for the median of a commute-distance distribution, and estimating the median foot length for children from a grouped distribution. Additional work fills missing class midpoints, estimates mean and median birth weights using the grouped data and provided summations.",{"@graph":14,"@context":66},[15,34,49],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/interpolation-questions-edexcel-past-exam-questions/207076/",4,{"url":32,"name":10,"@type":35,"author":36,"headline":10,"publisher":39,"fileFormat":42,"inLanguage":8,"description":12,"dateModified":43,"datePublished":43,"encodingFormat":42,"isAccessibleForFree":44,"interactionStatistic":45},"DigitalDocument",{"name":37,"@type":38},"Hazel","Person",{"url":19,"name":40,"@type":41},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":46,"interactionType":47,"userInteractionCount":4},"InteractionCounter",{"@type":48},"ViewAction",{"@type":50,"mainEntity":51},"FAQPage",[52,58,62],{"name":53,"@type":54,"acceptedAnswer":55},"What does the document ask students to estimate using interpolation?","Question",{"text":56,"@type":57},"It asks for estimates of the median Q2, lower quartile Q1, and upper quartile Q3, plus medians (sometimes via linear interpolation) for grouped distributions.","Answer",{"name":59,"@type":54,"acceptedAnswer":60},"How is the median of a grouped distribution estimated in these questions?",{"text":61,"@type":57},"The median is estimated by locating the median position in the cumulative frequency and then using interpolation within the relevant class interval.",{"name":63,"@type":54,"acceptedAnswer":64},"In the birth weight question, what additional steps are required besides interpolation?",{"text":65,"@type":57},"Students must fill in missing class midpoints, calculate an estimate of the mean using the grouped frequency table, and then interpolate again to estimate the median birth weight.","https://schema.org",{"og:url":32,"og:type":68,"og:title":10,"og:site_name":40,"og:description":12},"article",{"robots":70,"canonical":32},"index,follow",{"doc_id":72,"site_id":7},207076,1788597821,{"code":4,"msg":75,"data":76},"success",[77,81,85,88,93,98,103,108,113,116,120],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":78,"show_sort_weight":79,"slug":80},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":82,"show_sort_weight":83,"slug":84},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":86,"slug":87},70,"exam",{"id":89,"doc_module":4,"doc_module_name":25,"category_name":90,"show_sort_weight":91,"slug":92},5,"Comic",60,"comic",{"id":94,"doc_module":4,"doc_module_name":25,"category_name":95,"show_sort_weight":96,"slug":97},6,"Technology",50,"technology",{"id":99,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},7,"Healthcare",40,"healthcare",{"id":104,"doc_module":4,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},8,"Research & Report",30,"research-report",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},9,"Religion & Spirituality",20,"religion-spirituality",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":114,"show_sort_weight":111,"slug":115},"World Cup","world-cup",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":118,"show_sort_weight":117,"slug":119},10,"Lifestyle","lifestyle",{"id":121,"doc_module":4,"doc_module_name":25,"category_name":122,"show_sort_weight":89,"slug":123},19,"General","general",{"code":4,"msg":75,"data":125},{"doc_id":72,"user_id":126,"nickname":37,"user_avatar":127,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":128,"file_id":129,"file_url":130,"file_type":131,"file_size":132,"view_count":4,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":133,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":134,"faqs":135,"seo_title":136,"seo_description":12,"update_tm":73,"read_time":89},137441390410,"https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984","Interpolation  \nInterpolation Questions-Edexcel Past Exam Questions  \n1. The following table summarises the distances, to the nearest km, that 134 examiners travelled to attend a meeting in London.  \n\n| Distance (km) | Number of examiners |\n| --- | --- |\n| 41–45 | 4 |\n| 46–50 | 19 |\n| 51–60 | 53 |\n| 61–70 | 37 |\n| 71–90 | 15 |\n| 91–150 | 6 |\n\nUse interpolation to estimate the median Q2, the lower quartile Q1, and the upper quartile Q3 of  \nthese data. (3)  \nJune 05 Q2  \n2. Summarised below are the distances, to the nearest mile, travelled to work by a random sample of 120 commuters.  \n\n| Distance\u003Cbr>(to the nearest mile) | Number of\u003Cbr>commuters |\n| --- | --- |\n| 0 – 9 | 10 |\n| 10 – 19 | 19 |\n| 20 – 29 | 43 |\n| 30 – 39 | 25 |\n| 40 – 49 | 8 |\n| 50 – 59 | 6 |\n| 60 – 69 | 5 |\n| 70 – 79 | 3 |\n| 80 – 89 | 1 |\n\nFor this distribution,  \n(b) use linear interpolation to estimate its median. (2) Jan 07 Q4  \n[www.naikermaths.com](www.naikermaths.com)  \nInterpolation  \n3. A researcher measured the foot lengths of a random sample of 120 ten-year-old children. The lengths are summarised in the table below.  \n\n| Foot length, l,(cm) | Number of children |\n| --- | --- |\n| 10 £ l \u003C 12 | 5 |\n| 12 £ l \u003C 17 | 53 |\n| 17 £ l \u003C 19 | 29 |\n| 19 £ l \u003C 21 | 15 |\n| 21 £ l \u003C 23 | 11 |\n| 23 £ l \u003C 25 | 7 |\n\n(a) Use interpolation to estimate the median of this distribution. (2) June 09 Q4  \n4. The birth weights, in kg, of 1500 babies are summarised in the table below.  \n\n| Weight (kg) | Midpoint, x kg | Frequency, f |\n| --- | --- | --- |\n| 0.0 – 1.0 | 0.50 | 1 |\n| 1.0 – 2.0 | 1.50 | 6 |\n| 2.0 – 2.5 | 2.25 | 60 |\n| 2.5 – 3.0 |  | 280 |\n| 3.0 – 3.5 | 3.25 | 820 |\n| 3.5 – 4.0 | 3.75 | 320 |\n| 4.0 – 5.0 | 4.50 | 10 |\n| 5.0 – 6.0 |  | 3 |\n\n[You may use å fx = 4841 and å fx2 = 15 889. 5]  \n(a) Write down the missing midpoints in the table above. (2)  \n(b) Calculate an estimate of the mean birth weight. (2)  \n(d) Use interpolation to estimate the median birth weight. (2)  \nJan 10 Q3  \n[www.naikermaths.com](www.naikermaths.com)","cbCaiahPpzQh9kcl","https://ap.wps.com/l/cbCaiahPpzQh9kcl","pdf",145324,"English","# Interpolation Questions\n## Estimating quartiles and median from grouped distances\n## Median estimation using linear interpolation for commuters\n## Median foot length estimation for children\n## Birth weight interpolation: missing midpoints, mean and median","[{\"question\":\"What does the document ask students to estimate using interpolation?\",\"answer\":\"It asks for estimates of the median Q2, lower quartile Q1, and upper quartile Q3, plus medians (sometimes via linear interpolation) for grouped distributions.\"},{\"question\":\"How is the median of a grouped distribution estimated in these questions?\",\"answer\":\"The median is estimated by locating the median position in the cumulative frequency and then using interpolation within the relevant class interval.\"},{\"question\":\"In the birth weight question, what additional steps are required besides interpolation?\",\"answer\":\"Students must fill in missing class midpoints, calculate an estimate of the mean using the grouped frequency table, and then interpolate again to estimate the median birth weight.\"}]","Interpolation Questions - Edexcel Past Exam Questions | PDF"]