{"id":36287,"date":"2022-11-28T10:38:31","date_gmt":"2022-11-28T05:08:31","guid":{"rendered":"https:\/\/tsboardsolutions.com\/?p=36287"},"modified":"2022-11-28T10:38:31","modified_gmt":"2022-11-28T05:08:31","slug":"ts-inter-2nd-year-maths-2a-measures-of-dispersion-formulas","status":"publish","type":"post","link":"https:\/\/tsboardsolutions.com\/ts-inter-2nd-year-maths-2a-measures-of-dispersion-formulas\/","title":{"rendered":"TS Inter 2nd Year Maths 2A Measures of Dispersion Formulas"},"content":{"rendered":"<p>Learning these <a href=\"https:\/\/tsboardsolutions.com\/ts-inter-2nd-year-maths-2a-formulas\/\">TS Inter 2nd Year Maths 2A Formulas<\/a> Chapter 8 Measures of Dispersion will help students to solve mathematical problems quickly.<\/p>\n<h2>TS Inter 2nd Year Maths 2A Measures of Dispersion Formulas<\/h2>\n<p>\u2192 Measures of Dispersion : Range, mean deviation, variance, standard deviation are some measures of dispersion.<\/p>\n<p>\u2192 Range is defined as the difference of maximum value and the minimum value of the data.<\/p>\n<p>\u2192 Mean Deviation for ungrouped distribution :<\/p>\n<ul>\n<li>Mean Deviation about the mean = \\(\\frac{1}{n}\\)\u03a3|x<sub>i<\/sub> &#8211; x\u0304|<\/li>\n<li>Mean Deviation about median = \\(\\frac{1}{n}\\)\u03a3|x<sub>i<\/sub> &#8211; Median|<\/li>\n<\/ul>\n<p>\u2192 Mean Deviation for grouped data :<\/p>\n<ul>\n<li>Mean Deviation about mean = \\(\\frac{1}{n}\\)\u03a3f<sub>i<\/sub>|x<sub>i<\/sub> &#8211; x\u0304|, where N = \u03a3f<sub>i<\/sub><\/li>\n<li>Mean Deviation about median = \\(\\frac{1}{n}\\)\u03a3f<sub>i<\/sub>|x<sub>i<\/sub> &#8211; Median|, where N = \u03a3f<sub>i<\/sub><\/li>\n<\/ul>\n<p>\u2192 Variance and Standard Deviation for ungrouped data<br \/>\n\u03c3<sup>2<\/sup> = \\(\\frac{1}{n}\\)\u03a3(x<sub>i<\/sub> &#8211; x\u0304)<sup>2<\/sup>, \u03c3 = \\(\\sqrt{\\frac{1}{n} \\Sigma\\left(x_i-\\bar{x}\\right)^2}\\)<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/tsboardsolutions.com\/wp-content\/uploads\/2022\/10\/TS-Board-Solutions.png\" alt=\"TS Inter 2nd Year Maths 2A Measures of Dispersion Formulas\" width=\"183\" height=\"15\" \/><\/p>\n<p>\u2192 Variance and Standard Deviation of a discrete frequency distribution<br \/>\n\u03c3<sup>2<\/sup> = \\(\\frac{1}{N}\\)\u03a3f<sub>i<\/sub>(x<sub>i<\/sub> &#8211; x\u0304)<sup>2<\/sup>, \u03c3 = \\(\\sqrt{\\frac{1}{N} \\Sigma f_i\\left(x_i-\\bar{x}\\right)^2}\\)<\/p>\n<p>\u2192 Standard deviation of a continuous frequency distribution<br \/>\n\u03c3 = \\(\\frac{1}{N} \\sqrt{N \\Sigma f_i x_i^2-\\left(\\Sigma f_i x_i\\right)^2}\\)<br \/>\nor<br \/>\n\u03c3 = \\(\\frac{h}{N} \\sqrt{N \\Sigma f_i y_i^2-\\left(\\Sigma f_i y_i\\right)^2}\\), where y<sub>i<\/sub> = \\(\\frac{\\left(x_i-A\\right)}{h}\\)<\/p>\n<p>\u2192 Coefficient of variation = \\(\\frac{\u03c3}{x\u0304}\\) \u00d7 100; x\u0304 \u2260 0.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Learning these TS Inter 2nd Year Maths 2A Formulas Chapter 8 Measures of Dispersion will help students to solve mathematical problems quickly. TS Inter 2nd Year Maths 2A Measures of Dispersion Formulas \u2192 Measures of Dispersion : Range, mean deviation, variance, standard deviation are some measures of dispersion. \u2192 Range is defined as the difference &#8230; <a title=\"TS Inter 2nd Year Maths 2A Measures of Dispersion Formulas\" class=\"read-more\" href=\"https:\/\/tsboardsolutions.com\/ts-inter-2nd-year-maths-2a-measures-of-dispersion-formulas\/\" aria-label=\"More on TS Inter 2nd Year Maths 2A Measures of Dispersion Formulas\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[26],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>TS Inter 2nd Year Maths 2A Measures of Dispersion Formulas - TS Board Solutions<\/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:\/\/tsboardsolutions.com\/ts-inter-2nd-year-maths-2a-measures-of-dispersion-formulas\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"TS Inter 2nd Year Maths 2A Measures of Dispersion Formulas - TS Board Solutions\" \/>\n<meta property=\"og:description\" content=\"Learning these TS Inter 2nd Year Maths 2A Formulas Chapter 8 Measures of Dispersion will help students to solve mathematical problems quickly. 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