{"id":183001,"date":"2025-01-15T10:11:05","date_gmt":"2025-01-15T10:11:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=183001"},"modified":"2025-01-15T10:11:10","modified_gmt":"2025-01-15T10:11:10","slug":"state-which-of-the-following-represent-discrete-data-and-which-represent-continuous-data","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/15\/state-which-of-the-following-represent-discrete-data-and-which-represent-continuous-data\/","title":{"rendered":"State which of the following represent discrete data and which represent continuous data"},"content":{"rendered":"\n<pre class=\"wp-block-code\"><code> State which of the following represent discrete data and which represent continuous data:<\/code><\/pre>\n\n\n\n<p>(a) Numbers of shares sold each day in the stock market<\/p>\n\n\n\n<p>(b) Temperatures recorded every half hour at a weather bureau<\/p>\n\n\n\n<p>(c) Lifetimes of television tubes produced by a company<\/p>\n\n\n\n<p>(d) Yearly incomes of college professors<\/p>\n\n\n\n<p>(e) Lengths of 1000 bolts produced in a factory<\/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>To determine which data is discrete and which is continuous, let&#8217;s first understand the difference between the two:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Discrete data<\/strong> consists of distinct, separate values or counts. It is typically finite and often involves whole numbers (e.g., counts of items, number of occurrences).<\/li>\n\n\n\n<li><strong>Continuous data<\/strong> can take any value within a given range. It is often measured and can be infinitely subdivided, usually involving real numbers (e.g., measurements like height, weight, temperature).<\/li>\n<\/ul>\n\n\n\n<p>Now, let&#8217;s classify each item:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(a) <strong>Numbers of shares sold each day in the stock market<\/strong>:<\/h3>\n\n\n\n<p>This is <strong>discrete data<\/strong> because the number of shares sold is counted in whole numbers. There can\u2019t be a fractional share (e.g., you can&#8217;t sell 2.5 shares; it\u2019s either 2 or 3). Hence, the values are distinct, and each number is a count.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(b) <strong>Temperatures recorded every half hour at a weather bureau<\/strong>:<\/h3>\n\n\n\n<p>This is <strong>continuous data<\/strong>. Temperature can take any value within a range and can be measured with infinite precision (e.g., 22.3\u00b0C, 22.33\u00b0C, 22.333\u00b0C, etc.). Even though the data is recorded at specific intervals (every half hour), temperature itself is a continuous variable.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(c) <strong>Lifetimes of television tubes produced by a company<\/strong>:<\/h3>\n\n\n\n<p>This is <strong>continuous data<\/strong>. Lifetimes are typically measured (e.g., in hours, years, or cycles) and can take any value within a range. Although we might round these values when reporting, in theory, the lifetime could be any non-negative number and can be infinitely divided.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(d) <strong>Yearly incomes of college professors<\/strong>:<\/h3>\n\n\n\n<p>This is <strong>continuous data<\/strong>, even though income is often reported in whole numbers. Income can vary with infinite precision and is not restricted to integer values. For instance, a professor might earn $50,000.50, or $50,000.75, reflecting its continuous nature.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(e) <strong>Lengths of 1000 bolts produced in a factory<\/strong>:<\/h3>\n\n\n\n<p>This is <strong>continuous data<\/strong>. Lengths can be measured with precision, and they can take any real value within a specified range. A bolt may be 10.24 cm, 10.245 cm, or 10.246 cm, illustrating that the measurement can be infinitely subdivided.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Discrete data<\/strong>: Counts of items, events, or occurrences, like the number of shares or bolts.<\/li>\n\n\n\n<li><strong>Continuous data<\/strong>: Measurements that can take any value within a range and are usually represented with real numbers, like temperature, lifetime, and income.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>(a) Numbers of shares sold each day in the stock market (b) Temperatures recorded every half hour at a weather bureau (c) Lifetimes of television tubes produced by a company (d) Yearly incomes of college professors (e) Lengths of 1000 bolts produced in a factory The Correct Answer and Explanation is : To determine which [&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 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