{"id":4869,"date":"2025-05-03T20:37:04","date_gmt":"2025-05-03T18:37:04","guid":{"rendered":"https:\/\/www.psyctc.org\/psyctc\/?post_type=docs&#038;p=4869"},"modified":"2025-05-04T13:57:51","modified_gmt":"2025-05-04T11:57:51","password":"","slug":"tukeys-seven-number-summary","status":"publish","type":"docs","link":"https:\/\/www.psyctc.org\/psyctc\/glossary2\/tukeys-seven-number-summary\/","title":{"rendered":"Tukey\u2019s seven-number summary"},"content":{"rendered":"\n<p>One of three different <a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/seven-point-summaries\/\" title=\"\">&#8220;seven number&#8221; summaries<\/a> of the distribution of a set of scores. These are all extensions of the five point summary (minimum, lower quartile, median, upper quartile and maximum).<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Details<\/h4>\n\n\n\n<p>Unlike &#8220;the&#8221; seven-number summary and Bowley&#8217;s seven number summary the summary numbers for Tukey&#8217;s version are the minimum, the first octile (i.e. the 12.5% percentile), the five-number points of the lower quartile, median and upper quartile and upper octile (87.5% percentile) and the maximum. <\/p>\n\n\n\n<p>The differences from Bowley&#8217;s seven numbers are in using the first and last  octiles rather than the first and last deciles.<\/p>\n\n\n\n<p>I honestly doubt if you&#8217;ll ever see these used unless I squeeze them into a paper just for the fun of it.  (Tempting but I won&#8217;t!)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Try also<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/five-number-summary\/\" title=\"\">Bowley\u2019s seven-figure summary<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/five-number-summary\/\" title=\"\">Five point summary<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/percentiles\/\" title=\"\">Percentiles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/quantiles\/\" title=\"\">Quantiles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/quartiles\/\" title=\"\">Quartiles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/seven-point-summaries\/\" title=\"\">Seven point summaries<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/the-seven-number-summary\/\" title=\"\">&#8220;The&#8221; seven number summary<\/a><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Chapters<\/h4>\n\n\n\n<p>Not covered in the OMbook.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Online resources<\/h4>\n\n\n\n<p>One of my <a href=\"https:\/\/shiny.psyctc.org\" target=\"_blank\" rel=\"noopener\" title=\"\">shiny apps<\/a>: <a href=\"https:\/\/shiny.psyctc.org\/apps\/ECDFplot\/\" target=\"_blank\" rel=\"noopener\" title=\"\">ECDF plot with quantiles and CIs for quantiles<\/a> is pertinent in the unlikely event that you ever want to get any of these seven point splits of your data with their confidence intervals!<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Dates<\/h4>\n\n\n\n<p>First created 3.v.25, links tweaked 4.v.25.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of three different &#8220;seven number&#8221; summaries of the distribution of a set of scores. These are all extensions of the five point summary (minimum, lower quartile, median, upper quartile and maximum). Details Unlike &#8220;the&#8221; seven-number summary and Bowley&#8217;s seven number summary the summary numbers for Tukey&#8217;s version are the minimum, the first octile (i.e. &hellip; <a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/tukeys-seven-number-summary\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Tukey\u2019s seven-number summary<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"doc_category":[],"glossaries":[],"doc_tag":[],"knowledge_base":[],"class_list":["post-4869","docs","type-docs","status-publish","hentry"],"year_month":"2026-04","word_count":195,"total_views":"407","reactions":{"happy":"0","normal":"0","sad":"0"},"author_info":{"name":"chris","author_nicename":"chris","author_url":"https:\/\/www.psyctc.org\/psyctc\/author\/chris\/"},"doc_category_info":[],"doc_tag_info":[],"knowledge_base_info":[],"knowledge_base_slug":[],"_links":{"self":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4869","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/types\/docs"}],"author":[{"embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/comments?post=4869"}],"version-history":[{"count":3,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4869\/revisions"}],"predecessor-version":[{"id":4880,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4869\/revisions\/4880"}],"wp:attachment":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/media?parent=4869"}],"wp:term":[{"taxonomy":"doc_category","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/doc_category?post=4869"},{"taxonomy":"glossaries","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/glossaries?post=4869"},{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/doc_tag?post=4869"},{"taxonomy":"knowledge_base","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/knowledge_base?post=4869"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}