{"id":243656,"date":"2025-07-08T06:39:09","date_gmt":"2025-07-08T06:39:09","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=243656"},"modified":"2025-07-08T06:42:05","modified_gmt":"2025-07-08T06:42:05","slug":"draw-a-shape-with-six-sides-which-has-just-one-pair-of-perpendicular-lines-just-one-reflex-angle-and-no-parallel-sides","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/draw-a-shape-with-six-sides-which-has-just-one-pair-of-perpendicular-lines-just-one-reflex-angle-and-no-parallel-sides\/","title":{"rendered":"Find the absolute and relative errors in the following situations."},"content":{"rendered":"\n

Find the absolute and relative errors in the following situations. 43. Your true height is 1.73 meters (5 feet 8 inches), but a nurse in your doctor’s office measures your height as 1.76 meters.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find the absolute error<\/strong> and relative error<\/strong> in the measurement of your height, we can use the following formulas:<\/p>\n\n\n\n

    \n
  1. Absolute Error<\/strong>:
    The absolute error is the difference between the measured value and the true value, ignoring the sign (i.e., how far off the measurement is from the truth). Absolute\u00a0Error=\u2223Measured\u00a0Value\u2212True\u00a0Value\u2223\\text{Absolute Error} = |\\text{Measured Value} – \\text{True Value}|Absolute\u00a0Error=\u2223Measured\u00a0Value\u2212True\u00a0Value\u2223<\/li>\n\n\n\n
  2. Relative Error<\/strong>:
    The relative error is the absolute error divided by the true value. It is usually expressed as a percentage to indicate the magnitude of the error relative to the true value. Relative\u00a0Error=Absolute\u00a0ErrorTrue\u00a0Value\u00d7100\\text{Relative Error} = \\frac{\\text{Absolute Error}}{\\text{True Value}} \\times 100Relative\u00a0Error=True\u00a0ValueAbsolute\u00a0Error\u200b\u00d7100<\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    Given:<\/h3>\n\n\n\n
      \n
    • True Height<\/strong> = 1.73 meters<\/li>\n\n\n\n
    • Measured Height<\/strong> = 1.76 meters<\/li>\n<\/ul>\n\n\n\n
      \n\n\n\n

      1. Calculate Absolute Error<\/strong>:<\/h3>\n\n\n\n

      The absolute error is:Absolute Error=\u22231.76\u22121.73\u2223=\u22230.03\u2223=0.03\u2009meters\\text{Absolute Error} = |1.76 – 1.73| = |0.03| = 0.03 \\, \\text{meters}Absolute Error=\u22231.76\u22121.73\u2223=\u22230.03\u2223=0.03meters<\/p>\n\n\n\n

      So, the absolute error is 0.03 meters<\/strong>.<\/p>\n\n\n\n

      \n\n\n\n

      2. Calculate Relative Error<\/strong>:<\/h3>\n\n\n\n

      Now, we calculate the relative error:Relative Error=0.031.73\u00d7100=1.73%\\text{Relative Error} = \\frac{0.03}{1.73} \\times 100 = 1.73\\%Relative Error=1.730.03\u200b\u00d7100=1.73%<\/p>\n\n\n\n

      So, the relative error is 1.73%<\/strong>.<\/p>\n\n\n\n

      \n\n\n\n

      Conclusion:<\/h3>\n\n\n\n
        \n
      • Absolute Error<\/strong> = 0.03 meters<\/li>\n\n\n\n
      • Relative Error<\/strong> = 1.73%<\/li>\n<\/ul>\n\n\n\n

        This means that the nurse’s measurement was 0.03 meters (or 3 cm) greater than your true height, and the error is 1.73% of your actual height. This relative error provides a sense of how significant the measurement error is in relation to your actual height.<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Find the absolute and relative errors in the following situations. 43. Your true height is 1.73 meters (5 feet 8 inches), but a nurse in your doctor’s office measures your height as 1.76 meters. The Correct Answer and Explanation is: To find the absolute error and relative error in the measurement of your height, we […]<\/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-243656","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243656","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=243656"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243656\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=243656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=243656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=243656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}