{"id":6473,"date":"2019-09-16T19:08:33","date_gmt":"2019-09-17T02:08:33","guid":{"rendered":"https:\/\/careerkarma.com\/blog\/?p=6473"},"modified":"2020-05-23T00:21:58","modified_gmt":"2020-05-23T07:21:58","slug":"what-is-statistics-why-is-it-important","status":"publish","type":"post","link":"https:\/\/careerkarma.com\/blog\/what-is-statistics-why-is-it-important\/","title":{"rendered":"What Is Statistics (And Why Is It Important)?"},"content":{"rendered":"\n<p>Statistics is one of those fields that everyone vaguely knows they should learn more about. You can hardly open a newspaper, read a nonfiction book, or turn on the TV without reading, hearing, or encountering people referencing one statistic or another. In some unfortunate circumstances the same statistic is tossed around by multiple people on opposing sides of an issue.&nbsp;<br><\/p>\n\n\n\n<p>Statistics plays a role in debates ranging from gun control to immigration to climate change in politics, the effect of monetary policy in economics, the usefulness of drugs in psychology, and almost everywhere else.&nbsp;<br><\/p>\n\n\n\n<p>For this reason, a working knowledge of statistics has become of paramount importance to anyone wanting to navigate the modern world.<br><\/p>\n\n\n\n<p>But for all that, such an understanding is distressingly rare. Indeed, it\u2019s fair to say that most people couldn\u2019t give a coherent definition of statistics, or distinguish it from related disciplines like probability and data science, or tell when statistics is being abused for the purpose of deception.&nbsp;<br><\/p>\n\n\n\n<p>This piece will try to take a few steps towards alleviating this issue among <a href=\"https:\/\/careerkarma.com\/?p=3\">Career Karma<\/a>\u2019s audience. We\u2019ll begin by trying to define statistics while separating it out from fields with which it\u2019s commonly confused. Then we\u2019ll enumerate the many reasons statistics is important, offer some comments on how to spot deception when statistics are being used, and finish with a guide to learning more about this important subject.<br><\/p>\n\n\n\n<p>It\u2019s easy to imagine that statistics is a dry subject to be relegated to dusty old books that only math nerds read. But it\u2019s actually exceptionally lively, with more schools of thought, heated debates, and long-standing rivalries than you\u2019ll find outside of <em>Game of Thrones<\/em>.&nbsp;<br><\/p>\n\n\n\n<p>So let\u2019s explore what statistics has to offer.&nbsp;&nbsp;<br><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Defining Statistics<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"664\" src=\"https:\/\/careerkarma.com\/blog\/wp-content\/uploads\/2019\/09\/photo-1451226428352-cf66bf8a0317.jpg\" alt=\"\" class=\"wp-image-6478\"\/><figcaption>The concept of statistics can be surprisingly hard to nail down with certainty.&nbsp;<\/figcaption><\/figure>\n\n\n\n<p>There are a few different ways of defining statistics. According to the <a href=\"https:\/\/www.stat.uci.edu\/what-is-statistics\/\" target=\"_blank\" rel=\"noopener\" rel=\"nofollow\">statistics department<\/a> at the University of California at Irvine, statistics is \u201c&#8230;the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.\u201d<br><\/p>\n\n\n\n<p>Each part of the definition is important, so let\u2019s examine each in turn:<br><\/p>\n\n\n\n<p>As a field, statistics contains many different techniques for processing and understanding data, with new ones being developed all the time. If your knowledge of statistics comes entirely from one or two classes in college, it might be easy to miss how active statistics is.&nbsp;<br><\/p>\n\n\n\n<p>You might imagine that collecting data would be relatively straightforward, but it can be unexpectedly tricky. Say that you want to study happiness, because you\u2019re interested in whether people are happier when they live in places with more sunshine. In order to do that you need to come up with a way of measuring happiness. If you want to go the easy route and just ask people on a survey, then you need to come up with some way of making sure people mean the same thing by \u2018happiness\u2019. If you don\u2019t, you\u2019ll wind up with misleading results.&nbsp;<br><\/p>\n\n\n\n<p>When most people think about statistics, what they usually imagine is the \u2018analyzing data\u2019 part. It\u2019s true that a lot of the meat of statistics consists of activities like determining whether two groups of people are <em>really<\/em> different from each other, and this is almost always done with some kind of statistical test.&nbsp;&nbsp;<br><\/p>\n\n\n\n<p>All the data and fancy math in the world doesn\u2019t do much good if you don\u2019t understand what any of it means. Interpreting the results of statistical tests is almost as important as correctly running them in the first place. This is even more true when you are working with non-technical people who need statistical information to make good decisions in business or in life.<br><\/p>\n\n\n\n<p>There\u2019s an entire subfield of statistics which is concerned with visualizing results. I\u2019m constantly amazed at how difficult it can be to create charts and graphs which are accurate and don\u2019t lend themselves to being misinterpreted.&nbsp;<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">How Are Statistics and Probability Different?&nbsp;<br><\/h3>\n\n\n\n<p>Statistics and probability are commonly confused, but they\u2019re actually distinct subjects. Probability addresses the problem of determining how likely something is to occur. This is usually achieved by measuring the number of times an event could occur against the total number of conceivable outcomes (called the \u2018possibility space\u2019, if you want to impress your friends).&nbsp;<br><\/p>\n\n\n\n<p>To illustrate: if you roll two dice, what is the probability of getting the same number on both dice? First, we enumerate the number of ways in which we can get the same number on two dice; I count six: one-one, two-two, three-three, four-four, five-five, six-six. Second, we figure out how big the possibility space is. With two six-sided dice there are six*six possibilities, for a total of 36.<br><\/p>\n\n\n\n<p>So the probability of getting the same number on two dice is 6\/36, or 1\/6th.&nbsp;<br><\/p>\n\n\n\n<p>This is kind of a toy example, but it\u2019s still helpful. Think about it until it makes sense, then reread the definition of statistics provided above. It should be clear that while probability and statistics are related, they aren\u2019t the same thing.&nbsp;&nbsp;<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">How Are Statistics and Data Science Different?<br><\/h3>\n\n\n\n<p>It\u2019s also pretty common to confuse statistics and data science, especially because data science is a <a href=\"https:\/\/careerkarma.com\/blog\/statistics-vs-data-science\/\">famously slippery concept<\/a>. In broad terms, data science is a field which combines statistics, machine learning, computer science, and programming for the purpose of drawing actionable insights out of numerical information. It can be applied to problems like:<br><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Teaching computers to correctly diagnose patients from x-rays.<\/li><li>Building algorithms to trade stocks in financial markets.<\/li><li>Recommending books, movies, and even perfumes based on other things you like.<\/li><\/ul>\n\n\n\n<p>Data science relies heavily on statistics for its analytical methods, but they\u2019re not the same thing.&nbsp;&nbsp;<br><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>The Importance of Statistics<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1200\" height=\"800\" src=\"https:\/\/careerkarma.com\/blog\/wp-content\/uploads\/2019\/06\/nesa-by-makers-701360-unsplash.jpg\" alt=\"\" class=\"wp-image-2664\"\/><figcaption>There aren\u2019t many people who wouldn\u2019t benefit from learning more about statistics.&nbsp;<\/figcaption><\/figure>\n\n\n\n<p>There are several reasons everyone should have some understanding of statistics and how it works.&nbsp;<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Statistics in Politics<\/strong><\/h3>\n\n\n\n<p>Statistics is used almost constantly by actual politicians and the commentators that discuss political activity. If one politician wants to raise the minimum wage, they\u2019ll probably cite figures to the effect that the average wage doesn\u2019t cover the expenditures required for living comfortably today. If another wants to prevent the raise, they\u2019re likely to talk about the statistical relationship between minimum wage raises and unemployment.<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Statistics in Health&nbsp;<\/strong><\/h3>\n\n\n\n<p>Does eating red meat contribute to cancer? Does drinking red wine contribute to longevity? For any credible diet or exercise routine there\u2019ll be a mountain of information and corresponding statistical claims that will need to be scrutinized. Often it can be hard to draw hard connections between <em>activity A<\/em> and <em>outcome B<\/em>. There were <em>bitter<\/em> debates throughout the 20th century on whether or not smoking causes cancer, for example.&nbsp;<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Statistics in Education<\/strong><\/h3>\n\n\n\n<p>It\u2019s well known that a good education is key to a good future. But as with everything else we\u2019ve discussed, figuring out what exactly works in an educational setting can be tough. If you\u2019ve used a new teaching strategy with one group of kids and their test scores are better than another group\u2019s, can we be sure it\u2019s the strategy causing the difference? Perhaps it\u2019s just that we\u2019ve accidentally put the smarter children in one group, and when we reshuffle the groups the effect will go away.&nbsp;&nbsp;<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Statistics in Machine Learning<\/strong><\/h3>\n\n\n\n<p>Given that machines will soon be matching us with date partners, setting up the meeting time, driving us to the restaurant, and paying the tab, it\u2019s good to at least be acquainted with how all this is going to work under the hood. Machine learning and AI become a lot less mysterious when you realize they\u2019re usually based on statistics.&nbsp;<br><\/p>\n\n\n\n<p>To my mind, there\u2019s no escaping the fact that statistical knowledge is rapidly becoming like the ability to read or use the internet: an indispensable skill without which living in the modern world becomes vastly more difficult.&nbsp;<br><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>A Brief Guide on Not Being Lied to with Statistics<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"662\" src=\"https:\/\/careerkarma.com\/blog\/wp-content\/uploads\/2019\/09\/photo-1446858215496-71c9f6c83225.jpg\" alt=\"\" class=\"wp-image-6479\"\/><figcaption>You\u2019ll have to remain vigilant if you want to avoid being deceived by phony statistics.&nbsp;<\/figcaption><\/figure>\n\n\n\n<p>I could build an entire writing career out of tackling this one subject, so the advice in this section will necessarily have to be brief. What I want to do is mostly to give you a high-level sense of the ways in which statistics can be misused, intentionally or not.&nbsp;<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Beware of measures of central tendency:<\/strong><br><\/h3>\n\n\n\n<p>You might think that the concept of the \u2018average\u2019 is pretty straightforward, but it can conceal a lot of information. For example, consider that there are at least two ways to accurately say \u2018the average height in that group is six feet five inches\u2019. You might have a bunch of people that are almost all exactly that height. Or you might have a group of people who are much shorter, with one person who is eight feet tall. When you hear a claim like \u2018philosophy majors earn more over their lifetimes than people studying other subjects\u2019, make sure this isn\u2019t just because there are a few billionaires who studied philosophy in college.&nbsp;<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Remember that causality is hard to establish<\/strong><\/h3>\n\n\n\n<p>Verifying that <em>a<\/em> caused <em>b<\/em> is famously difficult, but that doesn\u2019t stop people from structuring their arguments in such a way that this claim is sort of snuck in. Just because two things are correlated doesn\u2019t mean one caused the other.&nbsp;<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Sometimes differences are just due to chance<\/strong><\/h3>\n\n\n\n<p>As I noted in an earlier section, gathering valid statistical data can be tough. Part of the reason for this is that the world is a big place and lots of random stuff happens in it. Imagine you want to test a new drug for treating depression. The obvious thing to do is to get two groups of people who are depressed and give the drug to only one group, then see if this group improves more than the one not given the drug. One of the problems here is that it is extremely easy to randomly choose two groups that are different in a subtle way. We might not care that one group contains more women than men, for example, unless it turns out that men are more susceptible to depression than women. As with the previous bullet point, you have to remember that randomness contributes a lot to where people end up in life.&nbsp;<br><\/p>\n\n\n\n<p>It\u2019s crucial to maintain a skeptical stance when you\u2019re being given statistical justifications for an argument. Whatever the issue, it\u2019s up to you to independently judge the facts for yourself, keeping an eye out for anything that doesn\u2019t look right.&nbsp;<br><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Learning More about Statistics&nbsp;<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"667\" src=\"https:\/\/careerkarma.com\/blog\/wp-content\/uploads\/2019\/09\/photo-1524178232363-1fb2b075b655.jpg\" alt=\"\" class=\"wp-image-6480\"\/><figcaption> These days classes are but one valid way of learning more about whatever interests you.&nbsp;<\/figcaption><\/figure>\n\n\n\n<p>If you want to extend your knowledge even further, here are some resources for continuing your statistics education.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/www.khanacademy.org\/math\/statistics-probability\" target=\"_blank\" rel=\"noopener\" rel=\"nofollow\">Khan Academy<\/a> was one of the first major online learning platforms, and it deserves its sterling reputation.&nbsp;<\/li><li><a href=\"https:\/\/www.coursera.org\/courses?query=statistics\" target=\"_blank\" rel=\"noopener\" rel=\"nofollow\">Coursera has a number of stats courses<\/a>, with varying degrees of specificity and focus on programming.&nbsp;<\/li><li>If you don\u2019t mind learning R at the same time, consider this <a href=\"https:\/\/www.datacamp.com\/tracks\/learn-statistics-with-r\" target=\"_blank\" rel=\"noopener\" rel=\"nofollow\">datacamp course<\/a>.&nbsp;<\/li><li>There is a near-infinite number of books on statistics. I like \u201cThe Elements of Statistical Learning\u201d, \u201c<a href=\"http:\/\/greenteapress.com\/thinkstats\/\" target=\"_blank\" rel=\"noopener\" rel=\"nofollow\">ThinkStats<\/a>\u201d, and \u201cAll of Statistics\u201d.<\/li><\/ul>\n\n\n\n<p>There\u2019s a lot that can be said about statistics. Hopefully this short piece has turned you on the subject\u2019s importance and motivated you to learn more.\u00a0\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"Statistics is one of those fields that everyone vaguely knows they should learn more about. You can hardly open a newspaper, read a nonfiction book, or turn on the TV without reading, hearing, or encountering people referencing one statistic or another. In some unfortunate circumstances the same statistic is tossed around by multiple people on&hellip;","protected":false},"author":35,"featured_media":6474,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[18071],"tags":[],"class_list":{"0":"post-6473","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-data-science-skills"},"acf":{"post_sub_title":"","sprint_id":"","query_class":"What is a {technical term}","school_sft":"","parent_sft":"","school_privacy_policy":"","has_review":null,"is_sponser_post":[],"is_guest_post":[]},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.4 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>What Is Statistics (And Why Is It Important)? | Career Karma<\/title>\n<meta name=\"description\" content=\"Curious as to what statistics is and why it matters? 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