[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657398-105":59,"doc-detail-657398-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","xi-economics-part-b-chapter-7-frequency-diagrams-histogram-polygon-ogive","XI Economics Part B - Chapter 7 - Frequency Diagrams: Histogram, Polygon & Ogive","","Chapter 7 of XI Economics Part B explains frequency diagrams for presenting frequency distributions where values repeat a given number of times. It introduces three key forms: histogram for continuous class intervals, polygon formed by joining histogram midpoints, and the frequency curve using smoothed joins. The chapter also covers ogive (cumulative frequency curve) constructed via less-than and more-than methods, supported by worked examples using student marks, weekly wages, and age distributions.",{"@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/xi-economics-part-b-chapter-7-frequency-diagrams-histogram-polygon-ogive/657398/",{"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/xi-economics-part-b-chapter-7-frequency-diagrams-histogram-polygon-ogive/657398.png","ImageObject",300,407,{"name":92,"@type":93},"Elsa","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-26",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is a frequency diagram and when is it used?","Question",{"text":112,"@type":113},"A frequency diagram is a diagrammatic presentation of a frequency distribution where a variable’s values repeat a certain number of times. It is used to represent grouped frequency data visually.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is a histogram constructed and what does it represent?",{"text":117,"@type":113},"A histogram represents the frequency distribution of a continuous series using rectangles. It can be drawn for equal class intervals and also for unequal class intervals.",{"name":119,"@type":110,"acceptedAnswer":120},"What is an ogive and how can it be constructed?",{"text":121,"@type":113},"An ogive (cumulative frequency curve) is constructed by plotting cumulative frequency data on graph paper as a smooth curve. It can be made using the less-than method or the more-than method.","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},657398,1792990174,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":144,"read_time":145},137455077381,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","(XI Economics Part B)  \n(text book page 99 to 110)  \nChapter-7 Frequency Diagrams:  \n(Histogram, Polygon & Ogive)  \nSir. VL Felfamkima (Felby-a)  \nM.Com (SLET), M.Phil, B.Ed Lecturer, Deptt. of Economics  \nFrequency Diagrams  \nFrequency Diagrams relate to diagrammatic presentation of frequency distributions. In such series, values of a variables repeat themselves number of times.  \nExample:  \n􀂾 Corresponding to the range marks between 40-50, there are 50 students,  \n􀂾 Corresponding to the range marks between 50-60, there are 40 students, and so on.  \nThere are three important forms of frequency diagrams:-  \n1) Histogram  \n2) Polygon  \n3) Ogive  \n1. Histogram:  \nA histogram is a graphical presentation of a frequency distribution of a continuous series. Histogram are  \nshown by rectangle shapes.  \na) Histograms of equal class intervals and  \nb) Histograms of unequal class intervals  \na) Histograms of equal class intervals: Illustration: (Page 112)  \nThe table below shows no. of students of a college corresponding to different range of marks in statistics  \n\n| Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| No. of Students | 5 | 10 | 15 | 20 | 12 | 8 | 4 |\n\nb. Histograms of unequal class intervals  \nIllustration: (Page 113)  \nPresent the following data in the form of a histogram:  \n\n| Weekly wages | No. of Workers |\n| --- | --- |\n| 10-15 | 7 |\n| 15-20 | 10 |\n| 20-25 | 27 |\n| 25-30 | 15 |\n| 30-40 | 12 |\n| 40-60 | 12 |\n| 60-80 | 8 |\n\nSolution:  \nHistograms of Unequal Class Intervals  \nAdjustment of Frequencies  \nHistograms of Unequal Class Intervals  \n2. Polygon:  \nPolygon is another form of diagrammatic presentation of data. It is formed by joining mid points of the tops of all rectangles in a histogram. However, a polygon can be drawn even without  \nconstructing a histogram.  \nIllustration: Page 115: Following table shows number of students of a college corresponding to  \ndifferent range of marks in statistics. Make frequency polygon.  \n\n| Marks in Statistics | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| No. of Students | 5 | 10 | 15 | 20 | 12 | 8 | 5 |\n\n3. Frequency Curve:  \nIt is just a variant of polygon. A frequency curve is a curve which is plotted by joining the mid-points of all tops of a histogram by free hand smoothed curves and not only  \nby straight lines.  \nIllustration: (page 118) Make frequency curve of the following data  \n\n| Age (Years) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| No. of Residents | 150 | 300 | 500 | 800 | 1000 | 900 | 400 | 100 |\n\n4. Ogive or Cumulative Frequency Curve:  \nThis curve is constructed by plotting cumulative frequency data on the graph paper, in the form of a smooth curve. A cumulative frequency curve or ogive may be constructed in two ways:-  \ni) Less than method  \nii)More than method  \n\n| Marks | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35-40 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| No. of Students | 4 | 6 | 10 | 10 | 25 | 22 | 18 | 5 |\n\nIllustration: (Page 119)  \nFollowing data relate to the marks secured by students in their statistics paper. Graph these data in the form of less than ogive and more than ogive  \n\n| Marks | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35-40 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| No. of Students | 4 | 6 | 10 | 10 | 25 | 22 | 18 | 5 |\n\nContinue..  \nOgive or Cumulative Frequency Curve:  \nCumulative frequency table: Less than cumulative frequencies:","cbCaidcAdIrdgv1G","https://ap.wps.com/l/cbCaidcAdIrdgv1G","pdf",1859709,14,"English","# Chapter 7 Frequency Diagrams: Histogram, Polygon & Ogive\n## Frequency diagrams and importance\n## Histogram\n### Equal class intervals\n### Unequal class intervals\n## Polygon\n## Frequency curve\n## Ogive or cumulative frequency curve\n### Less than method\n### More than method","[{\"question\":\"What is a frequency diagram and when is it used?\",\"answer\":\"A frequency diagram is a diagrammatic presentation of a frequency distribution where a variable’s values repeat a certain number of times. It is used to represent grouped frequency data visually.\"},{\"question\":\"How is a histogram constructed and what does it represent?\",\"answer\":\"A histogram represents the frequency distribution of a continuous series using rectangles. It can be drawn for equal class intervals and also for unequal class intervals.\"},{\"question\":\"What is an ogive and how can it be constructed?\",\"answer\":\"An ogive (cumulative frequency curve) is constructed by plotting cumulative frequency data on graph paper as a smooth curve. It can be made using the less-than method or the more-than method.\"}]","XI Economics Part B - Chapter 7 - Frequency Diagrams: Histogram, Polygon & Ogive | PDF",1792978574,35]