{"id":149510,"date":"2024-10-07T11:56:58","date_gmt":"2024-10-07T11:56:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149510"},"modified":"2024-10-07T11:57:01","modified_gmt":"2024-10-07T11:57:01","slug":"which-of-the-statements-below-is-true-for-the-following-set-of-numbers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/07\/which-of-the-statements-below-is-true-for-the-following-set-of-numbers\/","title":{"rendered":"Which of the statements below is true for the following set of numbers"},"content":{"rendered":"\n

Which of the statements below is true for the following set of numbers?
20,15,50,85,75,60<\/p>\n\n\n\n

The range is 70 and the midrange is 35.
The range is 70 and the midrange is 50.
The range is 85 and the midrange is 55.
The range and the midrange are equal.<\/p>\n\n\n\n

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

The correct answer is:The range is 70 and the midrange is 50<\/strong><\/p>\n\n\n\n

To analyze the set of numbers (20, 15, 50, 85, 75, 60), we will calculate both the range<\/strong> and the midrange<\/strong>.<\/p>\n\n\n\n

1. Calculating the Range<\/strong><\/h3>\n\n\n\n

The range<\/strong> of a set of numbers is determined by subtracting the smallest number in the set from the largest number.<\/p>\n\n\n\n

    \n
  • Smallest number<\/strong>: (15)<\/li>\n\n\n\n
  • Largest number<\/strong>: (85)<\/li>\n<\/ul>\n\n\n\n

    [
    \\text{Range} = \\text{Largest} – \\text{Smallest} = 85 – 15 = 70
    ]<\/p>\n\n\n\n

    2. Calculating the Midrange<\/strong><\/h3>\n\n\n\n

    The midrange<\/strong> is calculated by finding the average of the smallest and largest numbers in the set.<\/p>\n\n\n\n

    [
    \\text{Midrange} = \\frac{\\text{Smallest} + \\text{Largest}}{2} = \\frac{15 + 85}{2} = \\frac{100}{2} = 50
    ]<\/p>\n\n\n\n

    3. Summary of Findings<\/strong><\/h3>\n\n\n\n

    From the calculations, we find:<\/p>\n\n\n\n

      \n
    • Range<\/strong>: (70)<\/li>\n\n\n\n
    • Midrange<\/strong>: (50)<\/li>\n<\/ul>\n\n\n\n

      4. Evaluating the Statements<\/strong><\/h3>\n\n\n\n

      Now, let’s evaluate the provided statements based on our findings:<\/p>\n\n\n\n

        \n
      1. The range is 70 and the midrange is 35.<\/strong><\/li>\n<\/ol>\n\n\n\n
          \n
        • This is false<\/strong>; the midrange is (50), not (35).<\/li>\n<\/ul>\n\n\n\n
            \n
          1. The range is 70 and the midrange is 50.<\/strong><\/li>\n<\/ol>\n\n\n\n
              \n
            • This is true<\/strong>; both values are correctly calculated.<\/li>\n<\/ul>\n\n\n\n
                \n
              1. The range is 85 and the midrange is 55.<\/strong><\/li>\n<\/ol>\n\n\n\n
                  \n
                • This is false<\/strong>; the range is (70), not (85), and the midrange is (50), not (55).<\/li>\n<\/ul>\n\n\n\n
                    \n
                  1. The range and the midrange are equal.<\/strong><\/li>\n<\/ol>\n\n\n\n
                      \n
                    • This is false<\/strong>; the range ((70)) and the midrange ((50)) are not equal.<\/li>\n<\/ul>\n\n\n\n

                      Conclusion<\/h3>\n\n\n\n

                      The correct statement is: The range is 70 and the midrange is 50.<\/strong> This statement accurately reflects the calculations derived from the set of numbers provided. Understanding these concepts\u2014range and midrange\u2014is essential in statistics, as they help summarize the spread and central tendency of a dataset.<\/p>\n","protected":false},"excerpt":{"rendered":"

                      Which of the statements below is true for the following set of numbers?20,15,50,85,75,60 The range is 70 and the midrange is 35.The range is 70 and the midrange is 50.The range is 85 and the midrange is 55.The range and the midrange are equal. The Correct Answer and Explanation is : The correct answer is:The […]<\/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-149510","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149510","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=149510"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149510\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149510"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149510"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}