{"id":31,"date":"2011-07-06T11:32:51","date_gmt":"2011-07-06T15:32:51","guid":{"rendered":"http:\/\/omega.math.union.edu\/research\/2010-05-voting\/?page_id=31"},"modified":"2011-07-08T21:09:33","modified_gmt":"2011-07-09T01:09:33","slug":"profile-002020","status":"publish","type":"page","link":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/examples\/profile-002020\/","title":{"rendered":"2-Split Profile"},"content":{"rendered":"<h3>Instructions:<\/h3>\n<p>This is a <i>2-split<\/i> profile. Move the red point to different locations, let go, and see where it settles. Does it always end up at the same point?<\/p>\n<p>Now select the &#8220;Mean&#8221; button and try it again. Is your answer the same?<\/p>\n<p><script>\n  Voting = {\n    V: [0,0,2,0,2,0],\n    model: \"Mediancentre\"\n  }\n<\/script><\/p>\n<h3 class=\"explanation\" onclick=\"toggleExplanation(this)\"><span id=\"triangle\">&#x25B7;<\/span> Explanation:<\/h3>\n<div id=\"explanation\" style=\"height:0px\">\nAll points on the line segment joining the 4 voters minimize the sum of distances to the voters, and all are at equilibrium with respect to the &#8220;string-and-weight&#8221; forces.<\/p>\n<p>In school, we were taught that the median of the four numbers 1, 8, 9, 11 is the single number 8.5.  Is it?\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Instructions: This is a 2-split profile. Move the red point to different locations, let go, and see where it settles. Does it always end up at the same point? Now select the &#8220;Mean&#8221; button and try it again. Is your answer the same? &#x25B7; Explanation: All points on the line segment joining the 4 voters [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":5,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages\/31"}],"collection":[{"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/comments?post=31"}],"version-history":[{"count":8,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages\/31\/revisions"}],"predecessor-version":[{"id":127,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages\/31\/revisions\/127"}],"up":[{"embeddable":true,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages\/5"}],"wp:attachment":[{"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/media?parent=31"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}