{"id":17889,"date":"2022-04-05T12:14:01","date_gmt":"2022-04-05T06:44:01","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=17889"},"modified":"2023-03-29T17:43:44","modified_gmt":"2023-03-29T12:13:44","slug":"ap-10th-class-maths-important-questions-chapter-14-in-telugu-medium","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-10th-class-maths-important-questions-chapter-14-in-telugu-medium\/","title":{"rendered":"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02"},"content":{"rendered":"<p>These <a href=\"https:\/\/apboardsolutions.com\/ap-10th-class-maths-chapter-wise-important-questions\/\">AP 10th Class Maths Chapter Wise Important Questions<\/a> 14th Lesson \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 will help students prepare well for the exams<\/p>\n<h2>AP Board 10th Class Maths 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02<\/h2>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1.<br \/>\n5, 3, 4, &#8211; 4, 6, 7, 0 \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36 \u0c2e\u0c27\u0c4d\u0c2f\u0c17\u0c24\u0c2e\u0c41 \u0c0e\u0c02\u0c24?<br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n\u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28 \u0c2a\u0c30\u0c3f\u0c36\u0c40\u0c32\u0c28\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c32\u0c41 5, 3, 4, &#8211; 4, 6, 7, 0.<br \/>\n\u0c2a\u0c30\u0c3f\u0c36\u0c40\u0c32\u0c28\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c32\u0c28\u0c41 \u0c06\u0c30\u0c4b\u0c39\u0c23 \u0c15\u0c4d\u0c30\u0c2e\u0c02\u0c32\u0c4b \u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c17\u0c3e &#8211; 4, 0, 3, 4, 5, 6, 7.<br \/>\n\u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c2e\u0c41 7 \u0c2a\u0c30\u0c3f\u0c36\u0c40\u0c32\u0c28\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c32\u0c41\u0c28\u0c4d\u0c28\u0c35\u0c3f. \u0c15\u0c28\u0c41\u0c15 \\(\\frac{7+1}{2}\\) = 4\u0c35 \u0c2a\u0c30\u0c3f\u0c36\u0c40\u0c32\u0c28\u0c3e\u0c02\u0c36\u0c2e\u0c41 \u0c2e\u0c27\u0c4d\u0c2f\u0c17\u0c24\u0c2e\u0c17\u0c41\u0c28\u0c41.<br \/>\n\u2234 \u0c2e\u0c27\u0c4d\u0c2f\u0c17\u0c24\u0c2e\u0c41 = 3.<\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 2.<br \/>\n5, 6, 9, 6, 12, 3, 6, 11, 6, 7 \u0c32 \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c02 \u0c0e\u0c02\u0c24 ?<br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n5, 6, 9, 6, 12, 3, 6, 11, 6, 7 \u0c32\u0c32\u0c4b 6 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c2e\u0c41 \u0c17\u0c30\u0c3f\u0c37\u0c4d\u0c1f\u0c02 \u0c15\u0c3e\u0c35\u0c41\u0c28 \u0c2a\u0c48 \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c02 = 6.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 3.<br \/>\n\u0c2e\u0c4a\u0c26\u0c1f\u0c3f n \u0c38\u0c39\u0c1c \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32 \u0c38\u0c17\u0c1f\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c2e\u0c41.<br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n\u0c38\u0c17\u0c1f\u0c41 = \u0c2e\u0c4a\u0c26\u0c1f\u0c3f &#8216;n&#8217; \u0c38\u0c39\u0c1c \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c02 \/ n<br \/>\n= \\(\\frac{\\Sigma \\mathrm{n}}{\\mathrm{n}}=\\frac{\\mathrm{n}(\\mathrm{n}+1)}{2} \\cdot \\frac{1}{\\mathrm{n}}=\\left[\\frac{\\mathrm{n}+1}{2}\\right]\\)<br \/>\n\u2234 \u0c2e\u0c4a\u0c26\u0c1f\u0c3f &#8216;n&#8217; \u0c38\u0c39\u0c1c \u0c38\u0c02\u0c16\u0c4d\u0c2f\u0c32 \u0c38\u0c17\u0c1f\u0c41 = \\(\\frac{n+1}{2}\\)<\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 4.<br \/>\n\u0c35\u0c30\u0c4d\u0c17\u0c40\u0c15\u0c43\u0c24 \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c2e\u0c41 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c05\u0c02\u0c15\u0c17\u0c23\u0c3f\u0c24\u0c2a\u0c41 \u0c38\u0c17\u0c1f\u0c41 \\(\\bar{x}=a+\\frac{\\sum f_{1} d_{i}}{\\Sigma f_{i}}\\) \u0c05\u0c2f\u0c3f\u0c28 f<sub>i<\/sub> \u0c2e\u0c30\u0c3f\u0c2f\u0c41 d<sub>i<\/sub> \u0c2a\u0c26\u0c3e\u0c32\u0c41 \u0c35\u0c47\u0c1f\u0c3f\u0c28\u0c3f \u0c38\u0c42\u0c1a\u0c3f\u0c38\u0c4d\u0c24\u0c3e\u0c2f\u0c3f ?<br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\nf<sub>i<\/sub> = \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02<br \/>\nd<sub>i<\/sub> = \u0c35\u0c3f\u0c1a\u0c32\u0c28\u0c2e\u0c41 = x<sub>i<\/sub> &#8211; a<\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 5.<br \/>\n5, 6, 9, 10, 6, 12, 3, 6, 11, 10 \u0c32 \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c2a\u0c41 \u0c38\u0c17\u0c1f\u0c41 \u0c0e\u0c02\u0c24 ?<br \/>\n\u0c38\u0c3e\u0c27\u0c28.<br \/>\n\u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c02 \u0c38\u0c17\u0c1f\u0c41 = \u0c07\u0c1a\u0c4d\u0c1a\u0c3f\u0c28 \u0c30\u0c3e\u0c36\u0c41\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c02 \/ \u0c07\u0c1a\u0c4d\u0c1a\u0c3f\u0c28 \u0c30\u0c3e\u0c36\u0c41\u0c32 \u0c38\u0c02\u0c16\u0c4d\u0c2f<br \/>\n= \\(\\frac{5+6+9+10+6+12+3+6+11+10}{10}\\)<br \/>\n= \\(\\frac{78}{10}\\) = 7.8.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 6.<br \/>\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c06\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c05\u0c35\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c32\u0c41 \u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31253\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-1.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 1\" width=\"381\" height=\"105\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<br \/>\n\u0c06\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31252\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-2.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 2\" width=\"374\" height=\"178\" \/><\/p>\n<p>\u0c05\u0c35\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31251\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-3.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 3\" width=\"376\" height=\"183\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 7.<br \/>\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c35\u0c3f\u0c2d\u0c3e\u0c1c\u0c28. \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c15\u0c41 \u0c2e\u0c27\u0c4d\u0c2f \u0c35\u0c3f\u0c32\u0c41\u0c35\u0c32\u0c41 \u2022 \u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31250\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-4.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 4\" width=\"378\" height=\"98\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31249\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-5.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 5\" width=\"340\" height=\"228\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 8.<br \/>\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c28\u0c15\u0c41 \u0c2e\u0c27\u0c4d\u0c2f\u0c17\u0c24\u0c2e\u0c41\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c2e\u0c41.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31248\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-6.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 6\" width=\"324\" height=\"86\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31247\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-7.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 7\" width=\"275\" height=\"174\" \/><\/p>\n<p>n = 40<br \/>\n\u0c2e\u0c27\u0c4d\u0c2f\u0c17\u0c24\u0c2e\u0c41 = \\(\\frac{n+1}{2}=\\frac{40+1}{2}=\\frac{41}{2}\\) = 20.<br \/>\n5\u0c35 \u0c2a\u0c26\u0c2e\u0c41 = 7.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 9.<br \/>\n\u0c08 \u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c28\u0c15\u0c41 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c05\u0c02\u0c24\u0c30\u0c2e\u0c41\u0c32\u0c28\u0c41 \u0c09\u0c2a\u0c2f\u0c4b\u0c17\u0c3f\u0c02\u0c1a\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c35\u0c3f\u0c2d\u0c3e\u0c1c\u0c28 \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c28\u0c41 \u0c24\u0c2f\u0c3e\u0c30\u0c41 \u0c1a\u0c47\u0c2f\u0c41\u0c2e\u0c41. .<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31246\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-8.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 8\" width=\"374\" height=\"103\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31245\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-9.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 9\" width=\"328\" height=\"167\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 10.<br \/>\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c02 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c05\u0c02\u0c15\u0c2e\u0c27\u0c4d\u0c2f\u0c2e\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31244\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-10.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 10\" width=\"243\" height=\"84\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31243\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-11.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 11\" width=\"268\" height=\"203\" \/><\/p>\n<p>\u03a3f<sub>i<\/sub>x<sub>i<\/sub> = 256; \u03a3f<sub>i<\/sub> = 20<br \/>\n\u0c05\u0c02\u0c15\u0c2e\u0c27\u0c4d\u0c2f\u0c2e\u0c02 = \\(\\frac{\\Sigma \\mathrm{f}_{\\mathrm{i}} \\mathrm{x}_{\\mathrm{i}}}{\\Sigma \\mathrm{f}_{\\mathrm{i}}}=\\frac{256}{20}\\) = 12.8.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 11.<br \/>\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c28\u0c15\u0c41 \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2e\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31242\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-12.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 12\" width=\"724\" height=\"92\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31241\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-13.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 13\" width=\"332\" height=\"219\" \/><\/p>\n<p>\u0c0e\u0c15\u0c4d\u0c15\u0c41\u0c35 \u0c2e\u0c02\u0c26\u0c3f \u0c35\u0c3f\u0c28\u0c3f\u0c2f\u0c4b\u0c17\u0c26\u0c3e\u0c30\u0c41\u0c32\u0c41 120 &#8211; 140.<br \/>\n\u0c24\u0c30\u0c17\u0c24\u0c3f\u0c15\u0c3f \u0c1a\u0c46\u0c02\u0c26\u0c3f\u0c28\u0c35\u0c3e\u0c30\u0c41 \u0c15\u0c28\u0c41\u0c15 \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2a\u0c41 \u0c24\u0c30\u0c17\u0c24\u0c3f. 120 &#8211; 140.<br \/>\n\u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2a\u0c41 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c26\u0c3f\u0c17\u0c41\u0c35\u0c39\u0c26\u0c4d\u0c26\u0c41 (l) = 120<br \/>\n\u0c24\u0c30\u0c17\u0c24\u0c3f \u0c2a\u0c30\u0c3f\u0c2e\u0c3e\u0c23\u0c2e\u0c41 (h) = 20<br \/>\n\u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2a\u0c41 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02 (f<sub>1<\/sub>) = 20<br \/>\n\u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2a\u0c41 \u0c24\u0c30\u0c17\u0c24\u0c3f\u0c15\u0c3f \u0c2a\u0c42\u0c30\u0c4d\u0c35\u0c2a\u0c41 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02 (f<sub>0<\/sub>) = 16.<br \/>\n\u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2a\u0c41 \u0c24\u0c30\u0c17\u0c24\u0c3f\u0c15\u0c3f \u0c24\u0c30\u0c4d\u0c35\u0c3e\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02 (f<sub>2<\/sub>) = 14.<br \/>\n\u0c38\u0c42\u0c24\u0c4d\u0c30\u0c2e\u0c41\u0c28\u0c41\u0c2a\u0c2f\u0c4b\u0c17\u0c3f\u0c02\u0c1a\u0c3f,<br \/>\n\u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2e\u0c41 = l + \\(\\left[\\frac{\\mathrm{f}_{1}-\\mathrm{f}_{0}}{2 \\mathrm{f}_{1}-\\mathrm{f}_{0}-\\mathrm{f}_{2}}\\right]\\) \u00d7 h<\/p>\n<p>= 120 + \\(\\left[\\frac{20-16}{2 \\times 20-16-14}\\right]\\) \u00d7 20<\/p>\n<p>= 120 + \\(\\left[\\frac{4}{40-30}\\right]\\) \u00d7 20<\/p>\n<p>= 120 + \\(\\left[\\frac{4}{10}\\right]\\) \u00d7 20<br \/>\n= 120 + 8 = 128.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 12.<br \/>\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u201c\u0c05\u0c35\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c35\u0c15\u0c4d\u0c30\u0c02\u201d \u0c17\u0c40\u0c2f\u0c02\u0c21\u0c3f.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31240\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-14.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 14\" width=\"616\" height=\"82\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<br \/>\n\u0c05\u0c35\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c35\u0c15\u0c4d\u0c30\u0c02<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31239\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-15.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 15\" width=\"320\" height=\"259\" \/><\/p>\n<p>X- \u0c05\u0c15\u0c4d\u0c37\u0c02\u0c2a\u0c48 \u0c26\u0c3f\u0c17\u0c41\u0c35 \u0c39\u0c26\u0c4d\u0c26\u0c41\u0c32\u0c41, \u0c2e\u0c30\u0c3f\u0c2f\u0c41 Y &#8211; \u0c05\u0c15\u0c4d\u0c37\u0c02\u0c2a\u0c48 \u0c05\u0c35\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02 \u0c17\u0c41\u0c30\u0c4d\u0c24\u0c3f\u0c02\u0c1a\u0c41\u0c2e\u0c41.<\/p>\n<p>X- \u0c05\u0c15\u0c4d\u0c37\u0c02\u0c2a\u0c48 1 \u0c38\u0c46\u0c02.\u0c2e\u0c40. = 5 \u0c2f\u0c42.<br \/>\nY &#8211; \u0c05\u0c15\u0c4d\u0c37\u0c02\u0c2a\u0c48 1 \u0c38\u0c46\u0c02.\u0c2e\u0c40. = 5 \u0c2f\u0c42.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31238\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-16.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 16\" width=\"376\" height=\"285\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 13.<br \/>\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c28\u0c15\u0c41 \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2e\u0c41 \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f. &#8221;<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31237\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-17.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 17\" width=\"566\" height=\"92\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31236\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-18.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 18\" width=\"422\" height=\"247\" \/><\/p>\n<p>\u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2e\u0c41 = l + \\(\\frac{f_{1}-f_{0}}{2 f_{1}-f_{0}-f_{2}}\\) \u00d7 h;<br \/>\nl = 55.5; f<sub>0<\/sub> = 110; f<sub>1<\/sub> = 135; f<sub>2<\/sub> = 115; h = 3<\/p>\n<p>\u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2e\u0c41 = 55.5 + \\(\\frac{25}{270-225}\\) \u00d7 3<\/p>\n<p>= 55.5 + \\(\\frac{25}{45}\\) \u00d7 3<\/p>\n<p>= 55.5 + \\(\\frac{5}{3}\\) \u00d7 3<\/p>\n<p>= 55.50 + 1.67 = 57.17.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 14.<br \/>\n\u0c26\u0c3f\u0c17\u0c41\u0c35\u0c28\u0c40\u0c2f\u0c2c\u0c21\u0c3f\u0c28 \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c28\u0c15\u0c41 &#8216;\u0c2e\u0c27\u0c4d\u0c2f\u0c17\u0c24\u0c2e\u0c41&#8217; \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31235\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-19.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 19\" width=\"624\" height=\"85\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31234\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-20.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 20\" width=\"316\" height=\"319\" \/><\/p>\n<p>n = 40, \\(\\frac{n}{2}\\frac{40}{2}\\) = 20<br \/>\nl = 25.5, f = 12, cf = 17, h = 5<br \/>\n\u0c2e\u0c27\u0c4d\u0c2f\u0c17\u0c24\u0c2e\u0c41 = l + \\(\\left(\\frac{\\frac{n}{2}-c f}{f}\\right)\\) \u00d7 h<br \/>\n= 25.5 + (\\(\\frac{20-17}{12}\\)) \u00d7 5<br \/>\n= 25.5 + (\\(\\frac{3}{12}\\) \u00d7 5)<br \/>\n= 25.50 + \\(\\frac{5}{4}\\)<br \/>\n= 25.50 + 1.25 = 26.75.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 15.<br \/>\n\u0c08 \u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c28\u0c41, \u0c06\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c17\u0c3e \u0c2e\u0c3e\u0c30\u0c4d\u0c1a\u0c3f \u0c26\u0c3e\u0c28\u0c3f\u0c28\u0c41\u0c2a\u0c2f\u0c4b\u0c17\u0c3f\u0c02\u0c1a\u0c3f &#8216;\u0c13\u0c1c\u0c3f\u0c35\u0c4d&#8217; \u0c35\u0c15\u0c4d\u0c30\u0c2e\u0c41\u0c28\u0c41 \u0c17\u0c4d\u0c30\u0c3e\u0c2b\u0c4d \u0c26\u0c4d\u0c35\u0c3e\u0c30\u0c3e \u0c1a\u0c42\u0c2a\u0c41\u0c2e\u0c41.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31233\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-21.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 21\" width=\"659\" height=\"89\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31232\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-22.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 22\" width=\"586\" height=\"210\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31231\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-23.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 23\" width=\"516\" height=\"618\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 16.<br \/>\n\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26 \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28 \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c32\u0c4b 25 \u0c15\u0c41\u0c1f\u0c41\u0c02\u0c2c\u0c3e\u0c32\u0c41 \u0c06\u0c39\u0c3e\u0c30\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c35\u0c46\u0c1a\u0c4d\u0c1a\u0c3f\u0c02\u0c1a\u0c47 \u0c26\u0c3f\u0c28\u0c38\u0c30\u0c3f \u0c16\u0c30\u0c4d\u0c1a\u0c41\u0c32\u0c41 \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28\u0c35\u0c3f. \u0c06 \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c02\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31230\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-24.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 24\" width=\"634\" height=\"84\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31229\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-25.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 25\" width=\"310\" height=\"223\" \/><\/p>\n<p>\u0c2d\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2e\u0c41 = l + \\(\\left(\\frac{\\mathrm{f}_{1}-\\mathrm{f}_{0}}{2 \\mathrm{f}_{1}-\\mathrm{f}_{0}-\\mathrm{f}_{2}}\\right)\\) \u00d7 h<\/p>\n<p>&#8216;l&#8217; = \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c26\u0c3f\u0c17\u0c41\u0c35 \u0c39\u0c26\u0c4d\u0c26\u0c41 = 200<br \/>\n&#8216;f<sub>1<\/sub>&#8216; &#8211; \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02 = 12<br \/>\n&#8216;f<sub>0<\/sub>&#8216; &#8211; \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15 \u0c24\u0c30\u0c17\u0c24\u0c3f\u0c15\u0c3f \u0c2e\u0c41\u0c02\u0c26\u0c41\u0c28\u0c4d\u0c28 \u0c09\u0c28\u0c4d\u0c28 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02 = 5<br \/>\n&#8216;f<sub>2<\/sub>&#8216; &#8211; \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15 \u0c24\u0c30\u0c17\u0c24\u0c3f\u0c15\u0c3f \u0c24\u0c30\u0c41\u0c35\u0c3e\u0c24 \u0c09\u0c28\u0c4d\u0c28 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02 = 2<br \/>\n&#8216;h&#8217; &#8211; \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c2a\u0c4a\u0c21\u0c35\u0c41 = 50 200-250 250-300<br \/>\n\u2234 \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2e\u0c41 = 200 + (\\(\\frac{12-5}{24-5-2}\\)) \u00d7 50<br \/>\n= 200 + \\(\\frac{7 \\times 50}{17}\\)<br \/>\n= 200 + \\(\\frac{350}{17}\\)<br \/>\n= 200 + 20.58<br \/>\n\u2234 \u0c2c\u0c3e\u0c39\u0c41\u0c33\u0c15\u0c2e\u0c41 = 220.58.<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 17.<br \/>\n\u0c12\u0c15 \u0c2a\u0c30\u0c40\u0c15\u0c4d\u0c37\u0c32\u0c4b 53 \u0c2e\u0c02\u0c26\u0c3f \u0c35\u0c3f\u0c26\u0c4d\u0c2f\u0c3e\u0c30\u0c4d\u0c25\u0c41\u0c32\u0c15\u0c41 \u0c35\u0c1a\u0c4d\u0c1a\u0c3f\u0c28 \u0c2e\u0c3e\u0c30\u0c4d\u0c15\u0c41\u0c32\u0c41 \u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c4d\u0c1f\u0c3f\u0c15\u0c32\u0c4b \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28\u0c35\u0c3f. \u0c06 \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u201c\u0c06\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c35\u0c15\u0c4d\u0c30\u0c02&#8221;\u0c28\u0c41 \u0c17\u0c40\u0c2f\u0c02\u0c21\u0c3f.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31228\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-26.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 26\" width=\"688\" height=\"75\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31227\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-27.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 27\" width=\"672\" height=\"378\" \/><\/p>\n<p>\u0c06\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c13\u0c1c\u0c40\u0c35\u0c4d \u0c35\u0c15\u0c4d\u0c30\u0c02 \u0c17\u0c40\u0c2f\u0c41\u0c1f \u0c15\u0c4a\u0c30\u0c15\u0c41 X-\u0c05\u0c15\u0c4d\u0c37\u0c02\u0c2a\u0c48 \u0c24\u0c30\u0c17\u0c24\u0c3f \u0c0e\u0c17\u0c41\u0c35 \u0c39\u0c26\u0c4d\u0c26\u0c41\u0c28\u0c41, Y-\u0c05\u0c15\u0c4d\u0c37\u0c02\u0c2a\u0c48 \u0c06\u0c30\u0c4b\u0c39\u0c23 \u0c38\u0c02\u0c1a\u0c3f\u0c24 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c2e\u0c41\u0c28\u0c41 \u0c24\u0c40\u0c38\u0c41\u0c15\u0c4a\u0c28\u0c35\u0c32\u0c46\u0c28\u0c41.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31226\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-28.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 28\" width=\"691\" height=\"445\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2021\/11\/AP-Board-Solutions.png\" alt=\"AP Board 10th Class Maths Solutions 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" width=\"168\" height=\"14\" \/><\/p>\n<p>\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 18.<br \/>\n\u0c12\u0c15 \u0c35\u0c3e\u0c23\u0c3f\u0c1c\u0c4d\u0c2f \u0c38\u0c02\u0c38\u0c4d\u0c25 \u0c2f\u0c02\u0c26\u0c41 \u0c15\u0c3e\u0c30\u0c4d\u0c2e\u0c3f\u0c15\u0c41\u0c32 \u0c30\u0c4b\u0c1c\u0c41\u0c35\u0c3e\u0c30\u0c40 \u0c35\u0c47\u0c24\u0c28\u0c2e\u0c41\u0c32\u0c41 \u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f \u0c35\u0c3f\u0c2d\u0c3e\u0c1c\u0c28\u0c2e\u0c41 \u0c28\u0c02\u0c26\u0c41 \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28\u0c35\u0c3f. \u0c08 \u0c35\u0c3f\u0c2d\u0c3e\u0c1c\u0c28\u0c2e\u0c41 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c38\u0c17\u0c1f\u0c41 \u20b9 220. \u0c05\u0c2f\u0c3f\u0c24\u0c47 \u0c07\u0c02\u0c26\u0c41 \u0c32\u0c4b\u0c2a\u0c3f\u0c02\u0c1a\u0c3f\u0c28 \u0c2a\u0c4c\u0c28\u0c03\u0c2a\u0c41\u0c28\u0c4d\u0c2f\u0c02 f \u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c2e\u0c41.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31225\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-29.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 29\" width=\"728\" height=\"67\" \/><\/p>\n<p>\u0c38\u0c3e\u0c27\u0c28.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-31224\" src=\"https:\/\/apboardsolutions.guru\/wp-content\/uploads\/2022\/03\/AP-10th-Class-Maths-Important-Questions-Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02-30.png\" alt=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 30\" width=\"720\" height=\"250\" \/><\/p>\n<p>\u0c07\u0c1a\u0c4d\u0c1a\u0c3f\u0c28\u0c26\u0c3f, x<sub>i<\/sub> = 220<br \/>\n\\(\\overline{\\mathrm{X}}=\\frac{\\sum \\mathrm{f}_{\\mathrm{i}} \\mathrm{X}_{\\mathrm{i}}}{\\sum \\mathrm{f}_{\\mathrm{i}}}\\)<br \/>\n\u21d2 220 = \\(\\frac{36300+275 \\mathrm{f}}{176+\\mathrm{f}}\\)<br \/>\n\u21d2 220(176 + f) = 36300 + 275f<br \/>\n\u21d2 38720 + 220 f = 36300 + 275 f<br \/>\n\u21d2 220 f &#8211; 275 f = 36300 &#8211; 38720<br \/>\n\u21d2 &#8211; 55 f = &#8211; 2420<br \/>\n\u21d2 f = \\(\\frac{2420}{55}\\) = 44.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>These AP 10th Class Maths Chapter Wise Important Questions 14th Lesson \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 will help students prepare well for the exams AP Board 10th Class Maths 14th Lesson Important Questions and Answers \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02 \u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1. 5, 3, 4, &#8211; 4, 6, 7, 0 \u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36 \u0c2e\u0c27\u0c4d\u0c2f\u0c17\u0c24\u0c2e\u0c41 \u0c0e\u0c02\u0c24? \u0c38\u0c3e\u0c27\u0c28. \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28 \u0c2a\u0c30\u0c3f\u0c36\u0c40\u0c32\u0c28\u0c3e\u0c02\u0c36\u0c2e\u0c41\u0c32\u0c41 5, 3, 4, &#8211; 4, &#8230; <a title=\"AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\" class=\"read-more\" href=\"https:\/\/apboardsolutions.com\/ap-10th-class-maths-important-questions-chapter-14-in-telugu-medium\/\" aria-label=\"More on AP 10th Class Maths Important Questions Chapter 14 \u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15 \u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":35733,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[12],"tags":[],"jetpack_featured_media_url":"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2022\/04\/Chapter-14-\u0c38\u0c3e\u0c02\u0c16\u0c4d\u0c2f\u0c15-\u0c36\u0c3e\u0c38\u0c4d\u0c24\u0c4d\u0c30\u0c02.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/17889"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=17889"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/17889\/revisions"}],"predecessor-version":[{"id":17890,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/17889\/revisions\/17890"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/35733"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=17889"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=17889"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=17889"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}