{"id":194245,"date":"2025-02-23T06:40:35","date_gmt":"2025-02-23T06:40:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=194245"},"modified":"2025-02-23T06:40:38","modified_gmt":"2025-02-23T06:40:38","slug":"a-successful-basketball-player-has-a-height-of-6-feet-11-inches-or-211-cm","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/23\/a-successful-basketball-player-has-a-height-of-6-feet-11-inches-or-211-cm\/","title":{"rendered":"A successful basketball player has a height of 6 feet 11 inches, or 211 cm"},"content":{"rendered":"\n<p>A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean? The player&#8217;s height is standard deviation(s) above the mean. (Round to two decimal places as needed.) Conter sible Reso Incor If your score on your next statistics test is converted to a z score, which of these z scores would you prefer &#8211; 2.00, -1.00,0,1.00, 2.00? Why? O A. The z score of -1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score. OB. The z score of -2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores O C. The z score of 200 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores OD. The z score of O is most preferable because it corresponds to a test score equal to the mean. O E. The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score.<\/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 address your query in two parts:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Part 1: Understanding the Basketball Player&#8217;s Z Score<\/h3>\n\n\n\n<p>Given that the basketball player&#8217;s height of 211 cm corresponds to a z-score of 5.17, this directly tells us how many standard deviations his height is above the mean. A z-score of 5.17 means that the player&#8217;s height is 5.17 standard deviations above the average height in the dataset used. There&#8217;s no need for additional calculations; the z-score itself explicitly indicates this.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Part 2: Choosing the Preferable Z Score for a Statistics Test<\/h3>\n\n\n\n<p>When evaluating z-scores for a statistics test, it&#8217;s important to understand that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A z-score of 0 represents a score exactly at the mean.<\/li>\n\n\n\n<li>Positive z-scores indicate performance above the mean.<\/li>\n\n\n\n<li>Negative z-scores represent scores below the mean.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, among the options provided:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A (-1.00)<\/strong>: Incorrect because a score below the mean is not above average.<\/li>\n\n\n\n<li><strong>Option B (-2.00)<\/strong>: Incorrect as it is even further below the mean, indicating a poorer performance.<\/li>\n\n\n\n<li><strong>Option C (2.00)<\/strong>: Correct. A z-score of 2.00 signifies a score that is two standard deviations above the mean, placing it higher than a large percentage of the other scores.<\/li>\n\n\n\n<li><strong>Option D (0)<\/strong>: This indicates an average score, which is not preferable if the aim is to achieve a high score.<\/li>\n\n\n\n<li><strong>Option E (1.00)<\/strong>: Also a good option, indicating a score above the mean, but not as high as a z-score of 2.00.<\/li>\n<\/ul>\n\n\n\n<p><strong>Correct Answer: C.<\/strong> The z-score of 2.00 is most preferable because it is 2.00 standard deviations above the mean, which would correspond to one of the highest test scores among the options.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Explanation:<\/h4>\n\n\n\n<p>Choosing a higher z-score in the context of test scores translates to better performance relative to the peer group. A z-score of 2.00 not only demonstrates an above-average ability but also places the test taker in a high percentile rank among peers. This could be crucial for competitive exams where ranking relative to peers can determine qualification or selection. In summary, a z-score of 2.00 in this context means achieving a score significantly better than the majority, thus maximizing one&#8217;s chances for favorable outcomes like scholarships, admissions, or other accolades dependent on test performance.<\/p>\n\n\n\n<p>Regarding image generation, please clarify what specific image you&#8217;d like to have created related to this explanation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean? The player&#8217;s height is standard deviation(s) above the mean. (Round to two decimal places [&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-194245","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/194245","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=194245"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/194245\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=194245"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=194245"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=194245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}