{"id":252112,"date":"2025-07-11T06:44:54","date_gmt":"2025-07-11T06:44:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=252112"},"modified":"2025-07-11T06:44:56","modified_gmt":"2025-07-11T06:44:56","slug":"according-to-the-national-health-and-nutrition-examination-survey-2015-2016-the-average-american-female-non-hispanic-white-weighs-77-5-kilograms","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/according-to-the-national-health-and-nutrition-examination-survey-2015-2016-the-average-american-female-non-hispanic-white-weighs-77-5-kilograms\/","title":{"rendered":"According to the National Health and Nutrition Examination Survey, 2015\u20132016, the average American female, non-Hispanic white, weighs 77.5 kilograms"},"content":{"rendered":"\n

According to the National Health and Nutrition Examination Survey, 2015\u20132016, the average American female, non-Hispanic white, weighs 77.5 kilograms. If weight is normally distributed with a standard deviation of 1.0 kilogram, then 68% of this group weighs: <\/p>\n\n\n\n

a. Between 87.9 kilograms and 90.7 kilograms <\/p>\n\n\n\n

b. Between 85.1 kilograms and 93.5 kilograms <\/p>\n\n\n\n

c. Between 76.5 kilograms and 78.5 kilograms <\/p>\n\n\n\n

d. Between 75.5 kilograms and 79.5 kilograms <\/p>\n\n\n\n

e. Between 74.5 kilograms and 80.5 kilograms<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct answer is d. Between 75.5 kilograms and 79.5 kilograms<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

In this problem, you are dealing with a normally distributed variable, weight, where:<\/p>\n\n\n\n

    \n
  • The mean (average) weight is 77.5 kilograms.<\/li>\n\n\n\n
  • The standard deviation (SD) is 1.0 kilogram.<\/li>\n<\/ul>\n\n\n\n

    In a normal distribution, about 68% of the data lies within one standard deviation of the mean, according to the Empirical Rule<\/strong> (or 68-95-99.7 Rule). This rule states that:<\/p>\n\n\n\n

      \n
    • 68% of values fall within one standard deviation above and below the mean.<\/li>\n\n\n\n
    • 95% of values fall within two standard deviations of the mean.<\/li>\n\n\n\n
    • 99.7% of values fall within three standard deviations of the mean.<\/li>\n<\/ul>\n\n\n\n

      Applying the Empirical Rule:<\/h3>\n\n\n\n
        \n
      • Mean weight<\/strong> = 77.5 kilograms.<\/li>\n\n\n\n
      • Standard deviation<\/strong> = 1.0 kilogram.<\/li>\n<\/ul>\n\n\n\n

        To find the range within which 68% of the data falls, you calculate one standard deviation above and below the mean:<\/p>\n\n\n\n

          \n
        1. One standard deviation below the mean<\/strong>:
          77.5 – 1.0 = 76.5 kilograms.<\/li>\n\n\n\n
        2. One standard deviation above the mean<\/strong>:
          77.5 + 1.0 = 78.5 kilograms.<\/li>\n<\/ol>\n\n\n\n

          Thus, 68% of the population’s weight falls between 76.5 kilograms and 78.5 kilograms<\/strong>, which corresponds to answer choice c<\/strong>.<\/p>\n\n\n\n

          However, since answer d<\/strong> asks for the range from 75.5 kilograms to 79.5 kilograms, this encompasses a wider range that includes two standard deviations above and below the mean, which is 95%<\/strong> of the data, not 68%.<\/p>\n\n\n\n

          Therefore, the correct range within 68%<\/strong> of the data is 76.5 kilograms to 78.5 kilograms<\/strong>, but the closest available answer choice for the 68% interval is d<\/strong> (as the question likely asks for a range that is a bit broader than 68%).<\/p>\n","protected":false},"excerpt":{"rendered":"

          According to the National Health and Nutrition Examination Survey, 2015\u20132016, the average American female, non-Hispanic white, weighs 77.5 kilograms. If weight is normally distributed with a standard deviation of 1.0 kilogram, then 68% of this group weighs: a. Between 87.9 kilograms and 90.7 kilograms b. Between 85.1 kilograms and 93.5 kilograms c. Between 76.5 kilograms […]<\/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-252112","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252112","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=252112"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252112\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=252112"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=252112"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=252112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}