{"id":225,"date":"2019-08-01T09:10:22","date_gmt":"2019-08-01T09:10:22","guid":{"rendered":"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=225"},"modified":"2019-08-01T09:17:50","modified_gmt":"2019-08-01T09:17:50","slug":"measures-of-dispersion-ii","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/chapter\/measures-of-dispersion-ii\/","title":{"rendered":"Measures of Dispersion- II"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/_-vuXVVx-D4\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n<ol>\r\n \t<li style=\"text-align: justify\"><strong> STANDARD DEVIATION<\/strong><\/li>\r\n<\/ol>\r\n<p style=\"text-align: justify\"><strong style=\"text-align: initial;font-size: 1em\">Definition: <\/strong><span style=\"text-align: initial;font-size: 1em\">Standard Deviation is the root mean square deviation of the values from their arithmetic mean.<\/span><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\">The abbreviation of standard deviation is S.D. and s (read sigma) is the symbol. The concept of standard deviation was introduced by Karl Pearson in 1893. It removes mathematical deficiency of mean deviation to ignore negative sign. Most of the mathematical properties of dispersion is satisfied by the standard deviation. Hence it is a good measure of dispersion. It is the most widely used absolute measure of dispersion. The corresponding relative measure is <strong>Coefficient of Variation.<\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify\"><strong>2.Methods of calculating standard deviation<\/strong><\/p>\r\n\r\n<ol>\r\n \t<li>Actual Mean Method<\/li>\r\n \t<li>Direct Mean Method<\/li>\r\n \t<li>Assumed Mean Method<\/li>\r\n \t<li>Step Deviation Method<\/li>\r\n<\/ol>\r\n<strong>Formulae<\/strong>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-75\/\" rel=\"attachment wp-att-226\"><img class=\"aligncenter size-full wp-image-226\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-17.png\" alt=\"\" width=\"594\" height=\"430\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-76\/\" rel=\"attachment wp-att-227\"><img class=\"aligncenter size-full wp-image-227\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-18.png\" alt=\"\" width=\"433\" height=\"600\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-77\/\" rel=\"attachment wp-att-228\"><img class=\"aligncenter size-full wp-image-228\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-19.png\" alt=\"\" width=\"431\" height=\"586\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-78\/\" rel=\"attachment wp-att-229\"><img class=\"aligncenter size-full wp-image-229\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-20.png\" alt=\"\" width=\"445\" height=\"515\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-79\/\" rel=\"attachment wp-att-230\"><img class=\"aligncenter size-full wp-image-230\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-21.png\" alt=\"\" width=\"446\" height=\"599\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-80\/\" rel=\"attachment wp-att-231\"><img class=\"aligncenter size-full wp-image-231\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-22.png\" alt=\"\" width=\"419\" height=\"591\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-81\/\" rel=\"attachment wp-att-232\"><img class=\"aligncenter size-full wp-image-232\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-23.png\" alt=\"\" width=\"443\" height=\"620\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-82\/\" rel=\"attachment wp-att-233\"><img class=\"aligncenter size-full wp-image-233\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-24.png\" alt=\"\" width=\"450\" height=\"614\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-83\/\" rel=\"attachment wp-att-234\"><img class=\"aligncenter size-full wp-image-234\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-25.png\" alt=\"\" width=\"431\" height=\"543\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-84\/\" rel=\"attachment wp-att-235\"><img class=\"aligncenter size-full wp-image-235\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-26.png\" alt=\"\" width=\"424\" height=\"548\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-85\/\" rel=\"attachment wp-att-236\"><img class=\"aligncenter size-full wp-image-236\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-27.png\" alt=\"\" width=\"423\" height=\"575\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-86\/\" rel=\"attachment wp-att-237\"><img class=\"aligncenter size-full wp-image-237\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-28.png\" alt=\"\" width=\"442\" height=\"603\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-87\/\" rel=\"attachment wp-att-238\"><img class=\"aligncenter size-full wp-image-238\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-29.png\" alt=\"\" width=\"404\" height=\"602\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-88\/\" rel=\"attachment wp-att-239\"><img class=\"aligncenter size-full wp-image-239\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-30.png\" alt=\"\" width=\"436\" height=\"583\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-89\/\" rel=\"attachment wp-att-240\"><img class=\"aligncenter size-full wp-image-240\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-31.png\" alt=\"\" width=\"418\" height=\"614\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-90\/\" rel=\"attachment wp-att-241\"><img class=\"aligncenter size-full wp-image-241\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-32.png\" alt=\"\" width=\"454\" height=\"618\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-91\/\" rel=\"attachment wp-att-242\"><img class=\"aligncenter size-full wp-image-242\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-33.png\" alt=\"\" width=\"429\" height=\"585\" \/><\/a>\r\n\r\n<a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-92\/\" rel=\"attachment wp-att-243\"><img class=\"aligncenter size-full wp-image-243\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-34.png\" alt=\"\" width=\"286\" height=\"324\" \/><\/a>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Measures of Dispersion- II <\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/_-vuXVVx-D4\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/_-vuXVVx-D4\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<ol>\n<li style=\"text-align: justify\"><strong> STANDARD DEVIATION<\/strong><\/li>\n<\/ol>\n<p style=\"text-align: justify\"><strong style=\"text-align: initial;font-size: 1em\">Definition: <\/strong><span style=\"text-align: initial;font-size: 1em\">Standard Deviation is the root mean square deviation of the values from their arithmetic mean.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\">The abbreviation of standard deviation is S.D. and s (read sigma) is the symbol. The concept of standard deviation was introduced by Karl Pearson in 1893. It removes mathematical deficiency of mean deviation to ignore negative sign. Most of the mathematical properties of dispersion is satisfied by the standard deviation. Hence it is a good measure of dispersion. It is the most widely used absolute measure of dispersion. The corresponding relative measure is <strong>Coefficient of Variation.<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><strong>2.Methods of calculating standard deviation<\/strong><\/p>\n<ol>\n<li>Actual Mean Method<\/li>\n<li>Direct Mean Method<\/li>\n<li>Assumed Mean Method<\/li>\n<li>Step Deviation Method<\/li>\n<\/ol>\n<p><strong>Formulae<\/strong><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-75\/\" rel=\"attachment wp-att-226\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-226\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-17.png\" alt=\"\" width=\"594\" height=\"430\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-17.png 594w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-17-300x217.png 300w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-17-65x47.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-17-225x163.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-17-350x253.png 350w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-76\/\" rel=\"attachment wp-att-227\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-227\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-18.png\" alt=\"\" width=\"433\" height=\"600\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-18.png 433w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-18-217x300.png 217w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-18-65x90.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-18-225x312.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-18-350x485.png 350w\" sizes=\"auto, (max-width: 433px) 100vw, 433px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-77\/\" rel=\"attachment wp-att-228\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-228\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-19.png\" alt=\"\" width=\"431\" height=\"586\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-19.png 431w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-19-221x300.png 221w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-19-65x88.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-19-225x306.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-19-350x476.png 350w\" sizes=\"auto, (max-width: 431px) 100vw, 431px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-78\/\" rel=\"attachment wp-att-229\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-229\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-20.png\" alt=\"\" width=\"445\" height=\"515\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-20.png 445w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-20-259x300.png 259w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-20-65x75.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-20-225x260.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-20-350x405.png 350w\" sizes=\"auto, (max-width: 445px) 100vw, 445px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-79\/\" rel=\"attachment wp-att-230\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-230\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-21.png\" alt=\"\" width=\"446\" height=\"599\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-21.png 446w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-21-223x300.png 223w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-21-65x87.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-21-225x302.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-21-350x470.png 350w\" sizes=\"auto, (max-width: 446px) 100vw, 446px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-80\/\" rel=\"attachment wp-att-231\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-231\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-22.png\" alt=\"\" width=\"419\" height=\"591\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-22.png 419w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-22-213x300.png 213w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-22-65x92.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-22-225x317.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-22-350x494.png 350w\" sizes=\"auto, (max-width: 419px) 100vw, 419px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-81\/\" rel=\"attachment wp-att-232\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-232\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-23.png\" alt=\"\" width=\"443\" height=\"620\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-23.png 443w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-23-214x300.png 214w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-23-65x91.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-23-225x315.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-23-350x490.png 350w\" sizes=\"auto, (max-width: 443px) 100vw, 443px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-82\/\" rel=\"attachment wp-att-233\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-233\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-24.png\" alt=\"\" width=\"450\" height=\"614\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-24.png 450w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-24-220x300.png 220w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-24-65x89.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-24-225x307.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-24-350x478.png 350w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-83\/\" rel=\"attachment wp-att-234\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-234\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-25.png\" alt=\"\" width=\"431\" height=\"543\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-25.png 431w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-25-238x300.png 238w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-25-65x82.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-25-225x283.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-25-350x441.png 350w\" sizes=\"auto, (max-width: 431px) 100vw, 431px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-84\/\" rel=\"attachment wp-att-235\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-235\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-26.png\" alt=\"\" width=\"424\" height=\"548\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-26.png 424w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-26-232x300.png 232w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-26-65x84.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-26-225x291.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-26-350x452.png 350w\" sizes=\"auto, (max-width: 424px) 100vw, 424px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-85\/\" rel=\"attachment wp-att-236\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-236\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-27.png\" alt=\"\" width=\"423\" height=\"575\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-27.png 423w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-27-221x300.png 221w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-27-65x88.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-27-225x306.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-27-350x476.png 350w\" sizes=\"auto, (max-width: 423px) 100vw, 423px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-86\/\" rel=\"attachment wp-att-237\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-237\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-28.png\" alt=\"\" width=\"442\" height=\"603\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-28.png 442w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-28-220x300.png 220w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-28-65x89.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-28-225x307.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-28-350x477.png 350w\" sizes=\"auto, (max-width: 442px) 100vw, 442px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-87\/\" rel=\"attachment wp-att-238\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-238\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-29.png\" alt=\"\" width=\"404\" height=\"602\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-29.png 404w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-29-201x300.png 201w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-29-65x97.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-29-225x335.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-29-350x522.png 350w\" sizes=\"auto, (max-width: 404px) 100vw, 404px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-88\/\" rel=\"attachment wp-att-239\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-239\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-30.png\" alt=\"\" width=\"436\" height=\"583\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-30.png 436w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-30-224x300.png 224w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-30-65x87.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-30-225x301.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-30-350x468.png 350w\" sizes=\"auto, (max-width: 436px) 100vw, 436px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-89\/\" rel=\"attachment wp-att-240\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-240\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-31.png\" alt=\"\" width=\"418\" height=\"614\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-31.png 418w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-31-204x300.png 204w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-31-65x95.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-31-225x331.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-31-350x514.png 350w\" sizes=\"auto, (max-width: 418px) 100vw, 418px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-90\/\" rel=\"attachment wp-att-241\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-241\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-32.png\" alt=\"\" width=\"454\" height=\"618\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-32.png 454w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-32-220x300.png 220w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-32-65x88.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-32-225x306.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-32-350x476.png 350w\" sizes=\"auto, (max-width: 454px) 100vw, 454px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-91\/\" rel=\"attachment wp-att-242\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-242\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-33.png\" alt=\"\" width=\"429\" height=\"585\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-33.png 429w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-33-220x300.png 220w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-33-65x89.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-33-225x307.png 225w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-33-350x477.png 350w\" sizes=\"auto, (max-width: 429px) 100vw, 429px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/chapter\/measures-of-dispersion-ii\/untitled-92\/\" rel=\"attachment wp-att-243\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-243\" src=\"http:\/\/hsp16.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-34.png\" alt=\"\" width=\"286\" height=\"324\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-34.png 286w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-34-265x300.png 265w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-34-65x74.png 65w, https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-content\/uploads\/sites\/292\/2019\/08\/Untitled-34-225x255.png 225w\" sizes=\"auto, (max-width: 286px) 100vw, 286px\" \/><\/a><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Measures of Dispersion- II <\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/_-vuXVVx-D4\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"author":8,"menu_order":33,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-s-gandhimathi"],"pb_section_license":""},"chapter-type":[],"contributor":[66],"license":[],"class_list":["post-225","chapter","type-chapter","status-publish","hentry","contributor-dr-s-gandhimathi"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/pressbooks\/v2\/chapters\/225","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":2,"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/pressbooks\/v2\/chapters\/225\/revisions"}],"predecessor-version":[{"id":245,"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/pressbooks\/v2\/chapters\/225\/revisions\/245"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/pressbooks\/v2\/chapters\/225\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/wp\/v2\/media?parent=225"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/pressbooks\/v2\/chapter-type?post=225"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/wp\/v2\/contributor?post=225"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/hsp16\/wp-json\/wp\/v2\/license?post=225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}