{"id":154524,"date":"2022-03-25T23:37:50","date_gmt":"2022-03-25T18:07:50","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/population-and-sample-in-statistics\/"},"modified":"2022-12-31T16:03:13","modified_gmt":"2022-12-31T10:33:13","slug":"population-and-sample-in-statistics","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/population-and-sample\/","title":{"rendered":"Population and Sample in Statistics"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/population-and-sample\/#Population_and_Sample_in_Statistics\" title=\"Population and Sample in Statistics\">Population and Sample in Statistics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/population-and-sample\/#What_is_the_population\" title=\"What is the population?\">What is the population?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/population-and-sample\/#Sample\" title=\"Sample\">Sample<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/population-and-sample\/#Probability_sampling\" title=\"Probability sampling\">Probability sampling<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/population-and-sample\/#Population_and_Sample_Examples\" title=\"Population and Sample Examples\">Population and Sample Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/population-and-sample\/#Population_and_Sample_Formula\" title=\"Population and Sample Formula\">Population and Sample Formula<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Population_and_Sample_in_Statistics\"><\/span>Population and Sample in Statistics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A population is the complete set of objects that you are interested in. A sample is a subset of the population.<\/p>\n<p>In statistics, we often want to learn about the properties of a population by studying a sample. For example, we might want to know the average height of all adults in the United States. To measure this, we would take a sample of adults and calculate the average height for this group.<\/p>\n<p>There are a few important things to keep in mind when working with samples:<\/p>\n<p>1. A sample can never be identical to the population.<\/p>\n<p>2. A sample is always smaller than the population.<\/p>\n<p>3. A sample is not necessarily representative of the population.<\/p>\n<p>4. The results of a study done on a sample can never be generalized to the population.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154523 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/population-and-sample-in-statistics.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/population-and-sample-in-statistics.jpg?v=1648231666 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/population-and-sample-in-statistics-300x212.jpg?v=1648231666 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_population\"><\/span>What is the population?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The population is the number of people living in a certain area.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Sample\"><\/span>Sample<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The following is a sample explanation of an event.<\/p>\n<p>The event could be anything, such as a party, a wedding, or a meeting.<\/p>\n<p>The event took place on Saturday, December 5, 2009.<\/p>\n<p>The event was a party held at the home of the bride and groom.<\/p>\n<p>The party began at 7:00 p.m. and ended at 11:00 p.m.<\/p>\n<p>The party was attended by 50 people.<\/p>\n<p>The party was a great success!<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Probability_sampling\"><\/span>Probability sampling<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>is a sampling technique that takes into account the likelihood of each member of the population having an opportunity to be selected in the sample. Probability sampling is used when the population is known and the researcher wants to make sure that every member of the population has an equal chance of being selected in the sample.<\/p>\n<p>There are a number of different types of probability sampling techniques, including:<\/p>\n<p>random sampling<\/p>\n<p>stratified sampling<\/p>\n<p>cluster sampling<\/p>\n<p>multistage sampling<\/p>\n<p>proportional allocation<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Population_and_Sample_Examples\"><\/span>Population and Sample Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are about 7.5 billion people on Earth.<\/p>\n<p>There are about 3.5 billion people who speak English.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Population_and_Sample_Formula\"><\/span>Population and Sample Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The population is the entire set of items or people that you are studying. The sample is a subset of the population. The population size is the total number of items or people in the population. The sample size is the number of items or people in the sample.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Population and Sample in Statistics A population is the complete set of objects that you are interested in. A sample [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Population and Sample in Statistics","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Population and Sample in Statistics topic of Maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/population-and-sample\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Population and Sample in Statistics - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about Population and Sample in Statistics topic of Maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/population-and-sample\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Population and Sample in Statistics - 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