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The worksheet instructs learners to order each dataset, determine the lower quartile, median, and upper quartile, then compute the interquartile range as the difference between upper and lower quartiles. Included examples show ordered lists and step-by-step quartile calculations for seven numbered problems, with answers provided for quartile positions and interquartile range results.",{"@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/lower-and-upper-quartiles-sheet-1-find-lower-and-upper-quartile-calculate-interquartile-range/636657/",{"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/lower-and-upper-quartiles-sheet-1-find-lower-and-upper-quartile-calculate-interquartile-range/636657.png","ImageObject",300,407,{"name":92,"@type":93},"Mary Man","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-10-22",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 are the lower quartile and upper quartile used for in this worksheet?","Question",{"text":112,"@type":113},"They identify the 25% and 75% positions of an ordered data set. The worksheet asks for both values before computing the interquartile range.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the interquartile range calculated here?",{"text":117,"@type":113},"It is calculated as upper quartile minus lower quartile (IQR = Q3 − Q1). The answer section shows this difference for each numbered set.",{"name":119,"@type":110,"acceptedAnswer":120},"What steps should you follow before reading off the quartiles?",{"text":121,"@type":113},"First order the data values, then determine the lower quartile, median, and upper quartile from the ordered list. The worksheet’s examples demonstrate ordering and position-based quartile selection.","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},636657,1793079228,{"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":14,"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":24},7421720224475,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","LOWER AND UPPER QUARTILES SHEET 1  \nFind the lower and upper quartile in each of the sets of data.  \nWhen you have done that, find the interquartile range.  \n\n| Example {15, 23, 19, 20, 20, 22, 26} |  | 4) {22, 37, 19, 25, 37, 51, 82} |  |\n| --- | --- | --- | --- |\n| order {15, 19, 20, 20, 22, 23, 26} |  | order |  |\n| Lower Quartile\u003Cbr>19 | \u003Cbr>Median\u003Cbr>20 | Lower Quartile | Median |\n| Upper Quartile\u003Cbr>23 | Interquartile range\u003Cbr>23 – 19 = 4 | Upper Quartile | Interquartile range |\n| 1) {2, 7, 4, 2, 3, 6, 11} |  | 5) {6, 2, 13, 7, 6, 11, 10, 8, 2} |  |\n| order |  | order |  |\n| Lower Quartile | Median | Lower Quartile | Median |\n| Upper Quartile | Interquartile range | Upper Quartile | Interquartile range |\n| 2) {70, 63, 67, 62, 63, 68, 59} |  | 6) {109, 104, 96, 103, 98, 107} |  |\n| order |  | order |  |\n| Lower Quartile | Median | Lower Quartile | Median |\n| Upper Quartile | Interquartile range | Upper Quartile | Interquartile range |\n| 3) {11, 4, 7, 8, 2, 4} |  | 7) {14, 68, 38, 65, 36, 57, 65, 22, 41} |  |\n| order |  | order |  |\n| Lower Quartile | Median | Lower Quartile | Median |\n| Upper Quartile | Interquartile range | Upper Quartile | Interquartile range |\n\nLOWER AND UPPER QUARTILES SHEET 1 ANSWERS  \n\n| Example {15, 23, 19, 20, 20, 22, 26} |  | 4) {22, 37, 19, 25, 37, 51, 82} |  |\n| --- | --- | --- | --- |\n| order {15, 19, 20, 20, 22, 23, 26} |  | order {19, 22, 25, 37, 37, 51, 82} |  |\n| Lower Quartile\u003Cbr>19 | \u003Cbr>Median\u003Cbr>20 | Lower Quartile\u003Cbr>22 | \u003Cbr>Median\u003Cbr>37 |\n| Upper Quartile\u003Cbr>23 | Interquartile range\u003Cbr>23 – 19 = 4 | Upper Quartile\u003Cbr>51 | Interquartile range\u003Cbr>51 – 22 = 29 |\n| 1) {2, 7, 4, 2, 3, 6, 11} |  | 5) {6, 2, 13, 7, 6, 11, 10, 8, 2} |  |\n| order {2, 2, 3, 4, 6, 7, 11} |  | order {2, 2, 6, 6, 7, 8, 10, 11, 13} |  |\n| Lower Quartile\u003Cbr>2 | \u003Cbr>Median\u003Cbr>4 | Lower Quartile\u003Cbr>(2+6)/2 = 4 | \u003Cbr>Median\u003Cbr>7 |\n| Upper Quartile\u003Cbr>7 | Interquartile range\u003Cbr>7– 2 = 5 | Upper Quartile\u003Cbr>(10+11)/2 = 10 ½ | Interquartile range\u003Cbr>10 ½ -4 = 6 ½ |\n| 2) {70, 63, 67, 62, 63, 68, 59} |  | 6) {109, 105, 96, 103, 98, 107} |  |\n| order {59, 62, 63, 63, 67, 68, 70} |  | order {96, 98, 103, 105, 107, 109} |  |\n| Lower Quartile\u003Cbr>62 | \u003Cbr>Median\u003Cbr>68 | Lower Quartile\u003Cbr>98 | \u003Cbr>Median\u003Cbr>(103+105)/2 = 104 |\n| Upper Quartile\u003Cbr>68 | Interquartile range\u003Cbr>68 – 62 = 6 | Upper Quartile\u003Cbr>107 | Interquartile range\u003Cbr>107– 98 = 9 |\n| 3) {11, 4, 7, 8, 2, 4} |  | 7) {14, 68, 38, 65, 36, 57, 65, 22, 41} |  |\n| order {2, 4, 4, 7, 8, 11} |  | order {14, 22, 36, 38, 41, 57, 65, 65, 68} |  |\n| Lower Quartile\u003Cbr>4 | \u003Cbr>Median\u003Cbr>(4+7)/2 = 5 ½ | Lower Quartile\u003Cbr>(22+36)/2 = 29 | \u003Cbr>Median\u003Cbr>41 |\n| Upper Quartile\u003Cbr>8 | Interquartile range\u003Cbr>8 – 4 = 4 | Upper Quartile\u003Cbr>(65+65)/2 = 65 | Interquartile range\u003Cbr>65 – 29 = 36 |","cbCaioDRjABcT0A4","https://ap.wps.com/l/cbCaioDRjABcT0A4","pdf",213990,"English","# Instructions\n## Task: Find quartiles and interquartile range\n# Example Calculations\n## Example data set and quartile values\n# Questions\n## 1-7 data sets\n# Answers\n## Quartile and interquartile range results","[{\"question\":\"What are the lower quartile and upper quartile used for in this worksheet?\",\"answer\":\"They identify the 25% and 75% positions of an ordered data set. The worksheet asks for both values before computing the interquartile range.\"},{\"question\":\"How is the interquartile range calculated here?\",\"answer\":\"It is calculated as upper quartile minus lower quartile (IQR = Q3 − Q1). The answer section shows this difference for each numbered set.\"},{\"question\":\"What steps should you follow before reading off the quartiles?\",\"answer\":\"First order the data values, then determine the lower quartile, median, and upper quartile from the ordered list. The worksheet’s examples demonstrate ordering and position-based quartile selection.\"}]","Lower and Upper Quartiles Sheet 1 - Find Lower and Upper Quartile - Calculate Interquartile Range | PDF",1792678731]