{"id":56814,"date":"2024-04-16T00:51:13","date_gmt":"2024-04-16T00:51:13","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=56814"},"modified":"2024-04-16T00:51:13","modified_gmt":"2024-04-16T00:51:13","slug":"8-observations-are-clustered-into-3-clusters-using-k-means-clustering-algorithm-after-first-iteration-clusters-c1-c2-c3-has-following-observations-c1-22-44-66-c2-04-4025","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/8-observations-are-clustered-into-3-clusters-using-k-means-clustering-algorithm-after-first-iteration-clusters-c1-c2-c3-has-following-observations-c1-22-44-66-c2-04-4025\/","title":{"rendered":"8 observations are clustered into 3 clusters using K-Means clustering algorithm. After first iteration clusters, C1, C2, C3 has following observations: C1: {(2,2), (4,4), (6,6)} C2: {(0,4), (4,0),(2,5)} C3: {(5,5), (9,9)} What will be the cluster centroids if you want to proceed for second iteration?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;C1: (4,4), C2: (2,2), C3: (7,7)&#8221; option2=&#8221;C1: (6,6), C2: (4,4), C3: (9,9)&#8221; option3=&#8221;C1: (2,2), C2: (0,0), C3: (5,5)&#8221; option4=&#8221;C1: (4,4), C2: (3,3), C3: (7,7)&#8221; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is D.<\/p>\n<p>In K-means clustering, the cluster centroid is the mean of all the points in the cluster. To find the cluster centroids for the second iteration, we first need to find the mean of each cluster. The mean of cluster C1 is $(2+4+6)\/3=4$, the mean of cluster C2 is $(0+4+2)\/3=2$, and the mean of cluster C3 is $(5+9)\/2=7$. Therefore, the cluster centroids for the second iteration are $(4,4)$, $(2,2)$, and $(7,7)$.<\/p>\n<p>Here is a step-by-step solution:<\/p>\n<ol>\n<li>Find the mean of each cluster.<\/li>\n<\/ol>\n<p>Cluster C1: $(2+4+6)\/3=4$<\/p>\n<p>Cluster C2: $(0+4+2)\/3=2$<\/p>\n<p>Cluster C3: $(5+9)\/2=7$<\/p>\n<ol>\n<li>The cluster centroids for the second iteration are $(4,4)$, $(2,2)$, and $(7,7)$.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;C1: (4,4), C2: (2,2), C3: (7,7)&#8221; option2=&#8221;C1: (6,6), C2: (4,4), C3: (9,9)&#8221; option3=&#8221;C1: (2,2), C2: (0,0), C3: (5,5)&#8221; option4=&#8221;C1: (4,4), C2: (3,3), C3: (7,7)&#8221; correct=&#8221;option4&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[729],"tags":[],"class_list":["post-56814","post","type-post","status-publish","format-standard","hentry","category-machine-learning","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>8 observations are clustered into 3 clusters using K-Means clustering algorithm. After first iteration clusters, C1, C2, C3 has following observations: C1: {(2,2), (4,4), (6,6)} C2: {(0,4), (4,0),(2,5)} C3: {(5,5), (9,9)} What will be the cluster centroids if you want to proceed for second iteration?<\/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\/8-observations-are-clustered-into-3-clusters-using-k-means-clustering-algorithm-after-first-iteration-clusters-c1-c2-c3-has-following-observations-c1-22-44-66-c2-04-4025\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"8 observations are clustered into 3 clusters using K-Means clustering algorithm. After first iteration clusters, C1, C2, C3 has following observations: C1: {(2,2), (4,4), (6,6)} C2: {(0,4), (4,0),(2,5)} C3: {(5,5), (9,9)} What will be the cluster centroids if you want to proceed for second iteration?\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;C1: (4,4), C2: (2,2), C3: (7,7)&#8221; option2=&#8221;C1: (6,6), C2: (4,4), C3: (9,9)&#8221; option3=&#8221;C1: (2,2), C2: (0,0), C3: (5,5)&#8221; option4=&#8221;C1: (4,4), C2: (3,3), C3: (7,7)&#8221; correct=&#8221;option4&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/8-observations-are-clustered-into-3-clusters-using-k-means-clustering-algorithm-after-first-iteration-clusters-c1-c2-c3-has-following-observations-c1-22-44-66-c2-04-4025\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-16T00:51:13+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"8 observations are clustered into 3 clusters using K-Means clustering algorithm. After first iteration clusters, C1, C2, C3 has following observations: C1: {(2,2), (4,4), (6,6)} C2: {(0,4), (4,0),(2,5)} C3: {(5,5), (9,9)} What will be the cluster centroids if you want to proceed for second iteration?","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/8-observations-are-clustered-into-3-clusters-using-k-means-clustering-algorithm-after-first-iteration-clusters-c1-c2-c3-has-following-observations-c1-22-44-66-c2-04-4025\/","og_locale":"en_US","og_type":"article","og_title":"8 observations are clustered into 3 clusters using K-Means clustering algorithm. After first iteration clusters, C1, C2, C3 has following observations: C1: {(2,2), (4,4), (6,6)} C2: {(0,4), (4,0),(2,5)} C3: {(5,5), (9,9)} What will be the cluster centroids if you want to proceed for second iteration?","og_description":"[amp_mcq option1=&#8221;C1: (4,4), C2: (2,2), C3: (7,7)&#8221; option2=&#8221;C1: (6,6), C2: (4,4), C3: (9,9)&#8221; option3=&#8221;C1: (2,2), C2: (0,0), C3: (5,5)&#8221; option4=&#8221;C1: (4,4), C2: (3,3), C3: (7,7)&#8221; correct=&#8221;option4&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/8-observations-are-clustered-into-3-clusters-using-k-means-clustering-algorithm-after-first-iteration-clusters-c1-c2-c3-has-following-observations-c1-22-44-66-c2-04-4025\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-16T00:51:13+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/8-observations-are-clustered-into-3-clusters-using-k-means-clustering-algorithm-after-first-iteration-clusters-c1-c2-c3-has-following-observations-c1-22-44-66-c2-04-4025\/","url":"https:\/\/exam.pscnotes.com\/mcq\/8-observations-are-clustered-into-3-clusters-using-k-means-clustering-algorithm-after-first-iteration-clusters-c1-c2-c3-has-following-observations-c1-22-44-66-c2-04-4025\/","name":"8 observations are clustered into 3 clusters using K-Means clustering algorithm. 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After first iteration clusters, C1, C2, C3 has following observations: C1: {(2,2), (4,4), (6,6)} C2: {(0,4), (4,0),(2,5)} C3: {(5,5), (9,9)} What will be the cluster centroids if you want to proceed for second iteration?"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/56814","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=56814"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/56814\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=56814"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=56814"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=56814"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}