{"id":20296,"date":"2024-04-15T05:51:00","date_gmt":"2024-04-15T05:51:00","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=20296"},"modified":"2024-04-15T05:51:00","modified_gmt":"2024-04-15T05:51:00","slug":"if-the-standard-deviation-of-the-spot-speed-of-vehicles-in-a-highway-is-8-8-kmph-and-the-mean-speed-of-the-vehicles-is-33-kmph-the-coefficient-of-variation-in-speed-is-a-0-1517-b-0-1867-c-0-2666-d","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-standard-deviation-of-the-spot-speed-of-vehicles-in-a-highway-is-8-8-kmph-and-the-mean-speed-of-the-vehicles-is-33-kmph-the-coefficient-of-variation-in-speed-is-a-0-1517-b-0-1867-c-0-2666-d\/","title":{"rendered":"If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed is A. 0.1517 B. 0.1867 C. 0.2666 D. 0.3646"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;0.1517&#8243; option2=&#8221;0.1867&#8243; option3=&#8221;0.2666&#8243; option4=&#8221;0.3646&#8243; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The coefficient of variation is a measure of how spread out a set of numbers is relative to their average. It is calculated by dividing the standard deviation by the mean. In this case, the standard deviation is 8.8 kmph and the mean is 33 kmph, so the coefficient of variation is 0.2666. This means that the standard deviation is 26.66% of the mean. In other words, the speeds of the vehicles vary by about 26.66% around the average speed.<\/p>\n<p>Option A is incorrect because it is the standard deviation, not the coefficient of variation. Option B is incorrect because it is the coefficient of variation for a different set of data. Option C is incorrect because it is the coefficient of variation for a set of data with a smaller standard deviation. Option D is incorrect because it is the coefficient of variation for a set of data with a larger mean.<\/p>\n<p>The coefficient of variation is a useful measure of variability because it is independent of the units of measurement. For example, the coefficient of variation for the speeds of vehicles in kilometers per hour would be the same as the coefficient of variation for the speeds of vehicles in miles per hour.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;0.1517&#8243; option2=&#8221;0.1867&#8243; option3=&#8221;0.2666&#8243; option4=&#8221;0.3646&#8243; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[691],"tags":[],"class_list":["post-20296","post","type-post","status-publish","format-standard","hentry","category-probability-and-statistics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed is A. 0.1517 B. 0.1867 C. 0.2666 D. 0.3646<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-the-standard-deviation-of-the-spot-speed-of-vehicles-in-a-highway-is-8-8-kmph-and-the-mean-speed-of-the-vehicles-is-33-kmph-the-coefficient-of-variation-in-speed-is-a-0-1517-b-0-1867-c-0-2666-d\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed is A. 0.1517 B. 0.1867 C. 0.2666 D. 0.3646\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;0.1517&#8243; option2=&#8221;0.1867&#8243; 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