What is the interquartile range for the data set
8,1,7,3,7,2,6,7,9<\/p>\n\n\n\n
A. 3.5<\/p>\n\n\n\n
B 5<\/p>\n\n\n\n
C 5.6<\/p>\n\n\n\n
D 7<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find the interquartile range (IQR) of the given data set, we first need to organize the data in ascending order. The data set provided is:<\/p>\n\n\n\n [ 8, 1, 7, 3, 7, 2, 6, 7, 9 ]<\/p>\n\n\n\n Arranging the numbers in ascending order:<\/p>\n\n\n\n [ 1, 2, 3, 6, 7, 7, 7, 8, 9 ]<\/p>\n\n\n\n Next, we need to find the first quartile (Q1), the second quartile (Q2, or median), and the third quartile (Q3).<\/p>\n\n\n\n Now that we have Q1 and Q3, we can calculate the IQR:<\/p>\n\n\n\n [ The interquartile range for the data set is 5<\/strong>. Therefore, the correct answer is B. 5<\/strong>.<\/p>\n\n\n\n The IQR is a measure of statistical dispersion and is particularly useful because it is not influenced by outliers. It gives us an idea of the range within which the central 50% of the data lies. In this case, with an IQR of 5, we can conclude that the middle 50% of the data points are concentrated within a span of 5 units.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the interquartile range for the data set8,1,7,3,7,2,6,7,9 A. 3.5 B 5 C 5.6 D 7 The Correct Answer and Explanation is : To find the interquartile range (IQR) of the given data set, we first need to organize the data in ascending order. The data set provided is: [ 8, 1, 7, 3, […]<\/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-146272","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146272","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=146272"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146272\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146272"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146272"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Arrange the Data<\/h3>\n\n\n\n
Step 2: Find the Quartiles<\/h3>\n\n\n\n
\n
[
Q2 = 7
]<\/li>\n\n\n\n
[ 1, 2, 3, 6 ]
The median of this subset (the average of the second and third numbers) is:
[
Q1 = \\frac{2 + 3}{2} = 2.5
]<\/li>\n\n\n\n
[ 7, 7, 8, 9 ]
The median of this subset (the average of the second and third numbers) is:
[
Q3 = \\frac{7 + 8}{2} = 7.5
]<\/li>\n<\/ul>\n\n\n\nStep 3: Calculate the Interquartile Range<\/h3>\n\n\n\n
\\text{IQR} = Q3 – Q1 = 7.5 – 2.5 = 5
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n