{"id":208637,"date":"2025-04-27T20:31:43","date_gmt":"2025-04-27T20:31:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=208637"},"modified":"2025-04-27T20:31:46","modified_gmt":"2025-04-27T20:31:46","slug":"which-of-the-following-statement-does-not-describe-a-continuous-random-variable","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/27\/which-of-the-following-statement-does-not-describe-a-continuous-random-variable\/","title":{"rendered":"Which of the following statement DOES NOT describe a continuous random variable"},"content":{"rendered":"\n<p>Which of the following statement DOES NOT describe a continuous random variable? A. Height of students in a certain class B. The average weight of chicken each day C. The number of towns belong to Quezon Province D. The distance travelled by a delivery van in an hour<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is <strong>C. The number of towns belonging to Quezon Province<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A <strong>continuous random variable<\/strong> can take any value within a given range. Its possible values are uncountable and often represent measurements, like height, weight, distance, or time. These variables can be decimal numbers and have infinite possibilities within an interval.<\/p>\n\n\n\n<p>Let\u2019s examine each option:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. Height of students in a certain class<\/strong><\/li>\n\n\n\n<li>Height is a measurement that can be expressed in fractions or decimals (e.g., 152.4 cm). It varies continuously without gaps between values, so it is a continuous random variable.<\/li>\n\n\n\n<li><strong>B. The average weight of chicken each day<\/strong><\/li>\n\n\n\n<li>Average weight is also a measurement that can have decimal values (e.g., 1.75 kg). Since it can vary continuously, this too is a continuous random variable.<\/li>\n\n\n\n<li><strong>C. The number of towns belonging to Quezon Province<\/strong><\/li>\n\n\n\n<li>This involves counting distinct items \u2014 the towns. You cannot have a fraction of a town (e.g., 21.5 towns does not make sense). The number of towns is whole and countable, making this a <strong>discrete random variable<\/strong>, not continuous.<\/li>\n\n\n\n<li><strong>D. The distance travelled by a delivery van in an hour<\/strong><\/li>\n\n\n\n<li>Distance is a measurement that can vary continuously (e.g., 45.7 kilometers). It can take on any value within a range and thus is a continuous random variable.<\/li>\n<\/ul>\n\n\n\n<p>In short, continuous random variables deal with measurements and are infinitely possible within an interval. Discrete random variables, like the <strong>number of towns<\/strong>, involve counting distinct, separate outcomes. Therefore, <strong>option C does not describe a continuous random variable<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following statement DOES NOT describe a continuous random variable? A. Height of students in a certain class B. The average weight of chicken each day C. The number of towns belong to Quezon Province D. The distance travelled by a delivery van in an hour The correct answer and explanation is : [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-208637","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208637","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=208637"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208637\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=208637"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=208637"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=208637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}