{"id":858,"date":"2010-05-04T20:34:19","date_gmt":"2010-05-04T20:34:19","guid":{"rendered":"http:\/\/scientopia.org\/blogs\/goodmath\/2010\/05\/04\/big-number-bogosity-from-a-christian-college-kid\/"},"modified":"2014-03-23T21:16:48","modified_gmt":"2014-03-24T01:16:48","slug":"big-number-bogosity-from-a-christian-college-kid","status":"publish","type":"post","link":"http:\/\/www.goodmath.org\/blog\/2010\/05\/04\/big-number-bogosity-from-a-christian-college-kid\/","title":{"rendered":"Big Number Bogosity from a Christian College Kid"},"content":{"rendered":"<p> I know that I just posted a link to a stupid religious argument, but I was sent a link to another one, which I can&#8217;t resist mocking.<\/p>\n<p> As I&#8217;ve written about quite often, we humans <em>really<\/em> stink at understanding big numbers, and how things scale. <a href=\"http:\/\/thebeachnotes.blogspot.com\/2010\/05\/tragedy-on-college-campuses.html\">This<\/a> is an example of that. We&#8217;ve got a jerk who&#8217;s about to graduate from a dinky christian college, who believes that there <em>must<\/em> be something special about the moral atmosphere at his college, because in his four years at the school, there hasn&#8217;t been a <em>single<\/em> murder.<\/p>\n<p> Yeah, seriously. He really believes that his school is special, because it&#8217;s gone four whole years without a murder:<\/p>\n<blockquote>\n<p> Considering that the USA Today calculated 857 college student deaths from 2000 to 2005, how does one school manage to escape unscathed? It&#8217;s certainly not chance or luck. For Patrick Henry College, it&#8217;s in our Christian culture.<\/p>\n<p> Critics mock us for our strict rules &#8211; like no dancing or drinking on campus, no members of the opposite sex permitted in your dorm room, nightly curfew hours &#8211; and the lack of a social atmosphere it creates. We have been the subject of books (God&#8217;s Harvard), television shows, op-eds, and countless blogs who rant against our brand of overbearing right-wing Christianity that poisons society&#8217;s freedom.<\/p>\n<p> Yet, what is the cost of students being able to &#8220;express&#8221; themselves? Is that freedom worth the cost of drunk driving deaths, drug related violence, and love affairs turned fatal?<\/p>\n<\/blockquote>\n<p> There were <em>857<\/em> college student deaths in the five-year period from 2000 to 2005! Therefore, <em>any<\/em> college where there weren&#8217;t any murders in that period must be something really special. That christian culture must be making a really big difference, right?<\/p>\n<p> Well, no. <\/p>\n<p> <a href=\"http:\/\/answers.google.com\/answers\/threadview?id=200891\">According to Google Answers<\/a>, the US Census Department reports that there are 2363 four year colleges in the US. So, assuming the widest possible distribution of student deaths, there were 1506 colleges with no student deaths in a five-year period. Or, put another way, more than 60% of colleges in the US went that five-year period without any violent student deaths.<\/p>\n<p> Or, let&#8217;s try looking at it another way. According to the census, there are 15.9 <em>million<\/em> people currently enrolled in college. The school that, according to the author, is <em>so<\/em> remarkable for going without any murders in the last four years? It has <em>325 students<\/em>. Not 325 per class &#8211; 325 <em>total<\/em>.<\/p>\n<p> In other words, among a group making up less than 2\/1000ths of one percent of the college population, there were no murders. Assuming that the distribution of violent deaths is perfectly uniform (which it obviously isn&#8217;t; but let&#8217;s just keep things simple), given that there were 857 violent deaths in the student population as a whole, how many violent deaths would you <em>expect<\/em> among the student body at his dinky christian college?<\/p>\n<p> That would be a big, fat zero. <\/p>\n<p> The fact that there were no violent deaths at his school isn&#8217;t remarkable, not at all. But to a twit who&#8217;s incapable of actually understanding what numbers mean, that&#8217;s not the conclusion to be drawn. It&#8217;s also not that the violent death among college students is actually remarkably rare. Nor is it that <em>most<\/em> college students will go through college without any violent deaths on campus. No &#8211; according to a twit, with <em>857<\/em> violent campus deaths over five years, the <em>only<\/em> reasonable conclusion is that there must be something special about the ridiculous religious rules at his college that prevented the great rampaging plague of violence from touching the students at his school.<\/p>\n<p> I actually spent five years as an undergraduate at Rutgers University in NJ. During that time, there were no violent student deaths. (There was one death by alchohol poisoning; and there was one drunk driving accident that killed four students.) But <em>zero<\/em> violent deaths. Gosh, Rutgers must have been an absolutely amazingly moral university! And gosh, we had all of those horrible sinful things, like <em>dancing<\/em>, and <em>co-ed dorms<\/em>! How did we manage to go all that time with no violence?<\/p>\n<p> It must have been the prayers of the very nice Rabbi at the Chabad house on campus. Yeah, that must be it! Couldn&#8217;t just be random chance, right?<\/p>\n<p> Ok, now let me stop being quite so pettily snide for a moment. <\/p>\n<p> What&#8217;s going on here is really simple. We <em>hear<\/em> a whole lot about violence on campus. And when you hear about eight-hundred and some-odd violent deaths on campus, it <em>sounds<\/em> like a lot. So, intuitively, it sure seems like there must be a whole lot of violence on campus, and it must be really common. So if you can go through your whole time in college without having any violence occur on campus, it <em>seems<\/em> like it must be unusual.<\/p>\n<p> That&#8217;s because, as usual, we really suck at understanding big numbers and scale. 800 sounds like a lot. The idea that there are nearly <em>sixteen million<\/em> college students is just <em>not<\/em> something that we understand on an intuitive level. The idea that nearly a thousand deaths could be a tiny drop in the bucket &#8211; that it really amounts to just one death per 100,000 students per year &#8211; it just doesn&#8217;t make <em>sense<\/em> to us. A number like 800 is, just barely, intuitively meaningful to us. One million isn&#8217;t. Fifteen million isn&#8217;t. And a ratio with a number that we can&#8217;t really grasp intuitively on the bottom? That&#8217;s not going to be meaningful either.<\/p>\n<p> Bozo-boy is making an extremely common mistake. He&#8217;s just simply failing to comprehend how numbers scale; he&#8217;s not understanding  what big numbers really mean.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I know that I just posted a link to a stupid religious argument, but I was sent a link to another one, which I can&#8217;t resist mocking. As I&#8217;ve written about quite often, we humans really stink at understanding big numbers, and how things scale. This is an example of that. We&#8217;ve got a jerk [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6,9],"tags":[],"class_list":["post-858","post","type-post","status-publish","format-standard","hentry","category-bad-probability","category-big-numbers"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4lzZS-dQ","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/858","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/comments?post=858"}],"version-history":[{"count":2,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/858\/revisions"}],"predecessor-version":[{"id":2923,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/858\/revisions\/2923"}],"wp:attachment":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/media?parent=858"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/categories?post=858"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/tags?post=858"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}