{"id":154050,"date":"2022-03-25T23:06:13","date_gmt":"2022-03-25T17:36:13","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/interquartile-range-definition-example-formula-and-importance\/"},"modified":"2024-01-06T18:10:18","modified_gmt":"2024-01-06T12:40:18","slug":"interquartile-range-definition-example-formula-and-importance","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/","title":{"rendered":"Interquartile Range \u2013 Definition, Example, Formula and Importance"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/#What_Does_Interquartile_Range_Mean\" title=\"What Does Interquartile Range Mean?\">What Does Interquartile Range Mean?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/#What_Does_Interquartile_Range_Mean-2\" title=\"What Does Interquartile Range Mean?\">What Does Interquartile Range Mean?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/#Interquartile_range_Definition_and_Example\" title=\"Interquartile range Definition and Example\">Interquartile range Definition and Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/#Inter-Quartile_Example_on_the_Basis_of_the_Above_Definition\" title=\"Inter-Quartile Example on the Basis of the Above Definition\">Inter-Quartile Example on the Basis of the Above Definition<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/#Interquartile_Range_Formula\" title=\"Interquartile Range Formula\">Interquartile Range Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/#How_to_Calculate_The_Interquartile_Range\" title=\"How to Calculate The Interquartile Range?\">How to Calculate The Interquartile Range?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/#Interquartile_Range_Example\" title=\"Interquartile Range Example\">Interquartile Range Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/interquartile-range\/#Why_is_Interquartile_Range_Important\" title=\"Why is Interquartile Range Important?\">Why is Interquartile Range Important?<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_Does_Interquartile_Range_Mean\"><\/span>What Does Interquartile Range Mean?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Interquartile Range (IQR) is a measure of spread that is used to describe the distribution of a dataset. It is calculated by taking the 75th percentile and the 25th percentile, and then subtracting the 25th percentile from the 75th percentile. This gives you the IQR, which is a measure of the variability of the data.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154049 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/interquartile-range-definition-example-formula-and-importance.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/interquartile-range-definition-example-formula-and-importance.jpg?v=1648229770 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/interquartile-range-definition-example-formula-and-importance-300x212.jpg?v=1648229770 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_Does_Interquartile_Range_Mean-2\"><\/span>What Does Interquartile Range Mean?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Interquartile Range (IQR) is a measure of statistical dispersion, which is used to indicate the variability of a dataset. It is calculated by subtracting the 25th percentile from the 75th percentile, and then dividing the result by 3.<\/p>\n<p>The IQR can be used to identify the outliers in a dataset, as it measures the distance between the two quartiles.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Interquartile_range_Definition_and_Example\"><\/span>Interquartile range Definition and Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The interquartile range is the difference between the 75th and 25th percentile of a data set. For example, the interquartile range of the set {1, 2, 3, 4, 5, 6, 7} is 3 (5-2).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Inter-Quartile_Example_on_the_Basis_of_the_Above_Definition\"><\/span>Inter-Quartile Example on the Basis of the Above Definition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The inter-quartile range can be used to measure the spread of a set of data. It is the distance between the first and third quartiles of a data set. The inter-quartile range can be used to identify outliers in a data set.<\/p>\n<p>The inter-quartile range of a set of data is 9.<\/p>\n<p>The first quartile is the 25th percentile of the data set. The third quartile is the 75th percentile of the data set.<\/p>\n<p>The inter-quartile range is 9. The first quartile is 4. The third quartile is 13.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Interquartile_Range_Formula\"><\/span>Interquartile Range Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The interquartile range (IQR) is a measure of the variability of a set of data. The IQR is the difference between the 75th percentile and the 25th percentile.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Calculate_The_Interquartile_Range\"><\/span>How to Calculate The Interquartile Range?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To calculate the interquartile range, first find the median and the quartiles. The median is the middle number in a set of numbers, and the quartiles are the numbers that divide the set of numbers into four equal parts.<\/p>\n<p>Once you have the median and the quartiles, subtract the lower quartile from the upper quartile. This will give you the interquartile range.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Interquartile_Range_Example\"><\/span>Interquartile Range Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The interquartile range for the following set of data is 3.<\/p>\n<p>2, 4, 6, 8, 10<\/p>\n<p>The first quartile is 2 and the third quartile is 10. The interquartile range is 3.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Why_is_Interquartile_Range_Important\"><\/span>Why is Interquartile Range Important?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The interquartile range is a measure of the variability of a set of data. It is a more robust measure of variability than the standard deviation, and is less affected by outliers. The interquartile range can be used to identify the middle 50% of a data set, and can be used to compare two or more data sets.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What Does Interquartile Range Mean? Interquartile Range (IQR) is a measure of spread that is used to describe the distribution [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Interquartile Range","_yoast_wpseo_title":"Interquartile Range \u2013 Definition, Meaning, Formula, and Example","_yoast_wpseo_metadesc":"Learn about Interquartile Range topic of Maths in details explained by subject experts on infinitylearn.com. 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