Maths-
General
Easy
Question
Karl Pearson's coefficient of rank correlation between the ranks obtained by ten students in Mathematics and Chemistry in a class test as given below is
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)
- 0.224
- 0.204
- 0.240
- None of these
The correct answer is: 0.224
Since ![capital sigma d to the power of 2 end exponent equals 128](data:image/png;base64,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)
Hence, ![rho equals 1 minus fraction numerator 6 left parenthesis 128 right parenthesis over denominator 10 left parenthesis 100 minus 1 right parenthesis end fraction equals 0.224](data:image/png;base64,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)
Related Questions to study
maths-
Karl Pearson's coefficient of correlation between x and y for the following data is
![](data:image/png;base64,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)
Karl Pearson's coefficient of correlation between x and y for the following data is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAlAAAABbCAYAAAC8uruvAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACElSURBVHhe7Z0HuJxFFYaDdAEpGkggoTepIqAC0kMnIE16ERBiCBAhBFApAQKEXkMJxdAM0nsHQRBpCqIgTQ0ogopAEERAR99z98+/Lv+9ZO/Mkj073/s889zcvf+9T3Z25sw3Z8450ycIIYQQQogpZtK77wUJKCGEEEKIJpCAEkIIIYRoEgkoIYQQQogmkYASQgghhGgSCSghhBBCiCaRgBJCCCGEaBIJKCGEEEKIJpGAEkIIIYRoEgkoIYQQQogmkYASQgghhGgSCSghhBBCiCbpUUC9+uqr4Sc/+Um4++67wz333KPWy3bvvfdaP1b9LLdGX9x33332ternOTWNi7IxJtQXXa0YF5ojsheNTeOiq6FJfvazn4U///nP4T//+U9NsXz69Cigxo0bF+abb77Qv3//MGDAALVetIEDB4Z55503zDPPPPbvqmdyaUVf9OvXz8ZVzv3Be6cP5p577snfNz6TS5t//vltfmiO/L+9KL5vfCaXVt8Xshdd771v377WJzn3BQ1Nstxyy4Xx48fX1MrUoUcBdeqpp4btttsunHXWWeHss89W60UbO3ZsGDZsWFhnnXXCueeeW/lMLo2+2HfffcM3vvGNMHr06HDOOedUPpdD473/4Ac/CKuvvno46aSTrG+qnsuhXXDBBWHw4MFh44031hz53zg49NBDw6BBg8Jxxx2X9bg477zzwsEHH2xj47DDDsu6L3jvrMNf+tKXwogRI7LuC9oZZ5wRhg4dal+nJj0KqNNOO80GsYgDdyNGUQRzxzOuXnvttdor+fLb3/42DB8+PLzzzju1V/IFEYmoFiH85je/MXH9l7/8pfZKvjz11FPhhBNOCC+88ELtlbzZYYcdwmOPPVb7Lm+uvPJKW0umJp8ooNgRijjuuusuCaganN/j2SS+LneeeeYZE1Bvv/127ZV8OfHEE8MxxxxT+y5vnn766fD9739fm4z/8ctf/jKMGTMmPPfcc7VX8mb77bcPjzzySO27fCHuacKECe0voDhqEHHceeed4ZBDDql9lzcEAJ5yyinhT3/6U+2VfMHTsP/++4e33nqr9kq+4GU4+uija9/lza9+9avwve99zwJkc+cXv/hFOP74481bmzuIBgTUz3/+89or+fLvf/87/OhHP5KAygEJqBIJqBIJqBIJqBIJqBIJqBIJqBIJqIyQgCqRgCqRgCqRgCqRgCqRgCqRgCqRgMoICagSCagSCagSCagSCagSCagSCagSCaiMkIAqSS2gMCoF9f/2gARUiQRUSasFFPPEy1yRgCqRgCqRgMqIFALqww8/tLRmFt3HH388PPnkk+H3v/99ePfdd2tP+CC1gOL9/+EPfwgTJ04M7733Xu1VH6QQUB999FH461//ahl9jAvSvj32RQoBhVGlL5599tnJc4RxxtzxRCsE1Pvvvx9eeeUV+9v8XcaNB1IJKDJdf/e739nfe+KJJ2y+MFYYM15ohYDC9jAeGB+ekIDKiFgBRTrzNddcE0aNGhUOPPBAKyDGRNp9993DpZdeGl5//XU3O8rUAuqhhx4KW2yxhQkRb2nfsQLqH//4h9UYY1xQoHTIkCFhzz33DN/5znesOCUC28sCESugEIwPPviglULYZ599wl577RV222238N3vfjfcfPPNrrx8KQUUQgnxQc2ck08+2QpSch2IF1EZK6AQTtgcymRQlJOxsdNOO1kxX2zyo48+an3kwX6mFFDYDoQk9caOOOIId2VlJKAyIkZAMVAwfiuvvLIJpjvuuMMKqSGcNtxww7D88svbZ/TPf/6z9hvtTUoB9be//c2EQ58+fcImm2wSXn755dpPfBAjoP71r3+FK664wiqZ77LLLuGmm24KDz/8cLjllltMRC211FJWeyyVUG01sQLqhhtusDHwzW9+0/qFRebGG2+0woOrrbZauPbaa8MHH3xQe7q9SSWgGCPXX3+9CUn+HmMD7xyiwsuGK1ZAscFaa621bJ6wqeD+NPoBgT3XXHOZmHrxxRdrT7c3KQQUfwM7ef7554f1118/zDzzzCYm8Vp7QgIqI2IEFAP+hz/8oQ1yJn5h+CZNmhROP/10u0uNhePNN9+019udVAKKxZCFcsUVVwyf//znzQuVk4DiCGLNNdcMyy67rHlYinGBYWHRQVhz7QMeKg/ECCiOYpgfiy22mBlVdteAZwHhxJ1ZLJReFokUAor5cfnll4evfe1r5oWjkre3YxqIFVAU7uUaLa7/qC9Yi7DiDsZFFlkkXH311bVX25tYAcV8YPONF5JCrVtvvXWYbrrpJKAiaJmA4sPmTRaGHYrX6v9dfN/JxHqgEEe4WOu9TEwGdt0LL7xw+OpXv2reGA+kElDEuLCD+va3vx3WXnttMwI5CSg8kYjnTTfd1AREPVwNg6FdaKGFrFqvB2IE1P33328LIV7axqOIl156KWyzzTYmorgRwAOxAgrbiqdlhRVWCJtttpm7xbGeWAHFXOD9F6K6gLjJVVZZxS4q9nJdGZ9rjIAiXhSvLBtybMYll1wyefMpAdU7WiKg+KBZ9Fksf/zjH5uB43ve9PPPP2/xPLxOSXo8KTxfT724avyZR1IEkTeCmOJySRZJYqK83KeWQkD98Y9/NOHB0cTtt98e1ltvvewEFGOqX79+dozb2JeMhW233TYsuuii4aqrrqq92t7ECCj6go0EC2Lj/XH0DUff3ObPsbcHYgUUIpJxhW1gsfRMrIDqDq6GwUvLHMnJA0WsYHGUzfv+whe+IAEVQcs8UEz+ww8/3NykGLaf/vSn9jrHDQsuuKB9cBjMqqMnFsgLL7wwXHzxxRYI653UAgrR+cADD4Qdd9zRhAMX9HoJCo0VUBxDcD8jN/cjwAmEXHfddbMTUL/+9a/DqquuanOJzUg93B/2la98xTx0LEAeiBFQ2BYEFAtiYzwLmWfMk5lmmsnuYPRArIDi2OrLX/5yGDx48ORsMzauHOORcMLi44VWCCiECJ5ZvC8IErLzPBAroBqRgIqnpTFQ7AZZINj9nXHGGfYai97Xv/51C+4k5boKDOLAgQPDAgssEG677bbaq35JIaCYPOwsOYZgscE1z2RCkHgJjoUYAcWk4WiCQGFu72dHhYEtBJQ3IxAjoHDHE9fB0RRjgVgfFl7GBx4XvHLEwHgpcxEjoBDOgwYNmnwcw6aMscGxNgslR3uzzjrrVDe2U0qMgGKOsMHo27dv+Na3vmVHNgRPk4G2xx57mB0iW5H+8UArBBT9u+WWW9q4uPXWW2uvtj8SUCVZCCjAU0KgK5lBTFwCGkklZRB3txPCvbrffvvZ4sJz3kkhoDB4LI703wYbbBAGDBhgwoEMvapj0HYlRkCxUHJcyfjBSwncXI9YwCCy4CDa2WkT89DufRIjoACBMHLkSDvKIxZqxIgRYauttgpzzDGHxYbhffFCjIBibhAPiIjCC4WAHD16tCVZUPYDb0z//v3Nq+2BGAHFuCdAePrpp7fsQ/qBTLzrrrvOTgSIi8JuUMqgO/vbTqQWUHjjGBMrrbSSJaF4CqyXgCrJRkCxoA0bNswMG56Dgw46yFJpe4LjKM5qad6K4FWRQkAxYBAdHFkhQqh3g/eBfr3sssvceKF6K6BIyWYBJLMMzwu/j0eOvsWjiajEsLAIU++m6mi43YgRUBh+sjLJMML7hqeBMgbEF26++eZhiSWWMK9vb8XZp02MgALGP55rhAebNTwu9AUebI6y6A/6yAMxAgp7i3gmuwoPFMKjEEqMBUT2nHPOaVmJ9Vlp7UpKAVVkLlPWgK/eshIloEqyEVCIIP4GO0ACXj3tilOROgYKEBTU8uB4dI011nAzAXoroCiSybEvsS4IBgLIWSA4vmJsEWuHFwZvJ8LBg/COEVDEObGLRlAiqushPoqfIRq8HFHECqjuvI2kq5Oliu2hXzwQK6CYF7PNNpsd5TVurIhBJWNx6aWXdmGLUwko7AGCgbIOxx13nLsbHEACqiQLAcWbZFeMy5QJy1GLl4C9lLRCQAFVdAkWnnfeeW2h8EBvBRS7ZcQAiQXjxo0z8UhsBzVNllxySfPEYRiJ++EIr92P76C3AorFgIwyFkmOLht/n00L3t5ZZpnFTeB0rIDqDsYKx90cX3nJVI0RUMwTist2J6AIqWC+IKIIlWh3UgkoPJHUy2MtqheO2Anmkwd7IQFV0vECCvcoMTsIBxY7FgoK3U1JHEL9YC7cz56JFVDsnBGi9bsm+oWiaMQ5kIrLvV8eiImBqoLjYIQ5RsBLLayC3gooFkXS02effXY7nsLrUA9HFdttt50d1YwdO7b2anvTCgGFAKEfiIEiU9XDIgkxAgoxwLUl1AhDeDTeUEA8FF5cNl6NNbPakRQCCvuJeEJ81GdpEjuH3URUegiBaKWA8pbB3NECCvFE9gtBncSrENiIASOAEYP/SR8Wg/zYY4+1Rhqud2IEFBObhYW+JAi/gMnPBODKDgKHcyukWYCI5JoGjECqv/lp0VsBhSHF48iGBPFMLax6mDMcVVClnRpsHkgtoIiBY+HlKPPMM8/8WCHFdiZGQAHV5/nsqTRd71nAM4kdYtHEc+shBihWQDEOiLtlHBArimjETpCEQiA9CQfcJelhfKQWUJQ/oZQDYRDeQms6VkDxxkipJjaD2itUTAYGLR8+GUK4UXuqR0Iw6OKLLx6++MUvTv59z8QIKPqICx9nnHFGM4jsIDm6Gz9+vAVOb7TRRubp8xDzA6kEFMaEBYAsRI4wiXPBS9fdmGpHYmKgMPgsLNSBot4TR5sYVgKlGSfEguH59RAoDCkEFJsNYuUQl8OHD7eYODZyb7zxRu0JH8QKKEQDR7d43rhYGhvK5osjbuwyQeZe7n+LFVAkWhALyL131E0jA5GbCwgkX2aZZaxcDh47D2UdYgUUthGb+fe//93+BnGkM8wwg8WPssmgaj+2yIM3jvfSkQKK4wOMIbtjjDuDHzdyceyAx4RJTL0WdkRVUCuKe74Y6OwSvBN7hIfxGDNmjC2M9Al9Q6YV6cpcaeJJNKT0QOGaZ/dEvTCqLiPMPRxLFMQIKGCuERTMxah44VggKDBK1iui2ssF05BCQOFVIDuVGCA839SZ8zQ3CmIFFCCc8TBwhMkxPzaDeDluLyhKgHggRkCxqWQcEPNFsg2NzRaNxBPKf+Cpo5yBB2IFFL9PyMOQIUNsTOCgYI2mcTrERgwh5eE0o2MFFIMW7xIDnsZkRd3z4WHwCfDliIEFtDuvCbtr7iqi8TveiRVQ9B19gpuVRZdzeyoLs5PgZ55I6YFikWCM0SeIKRIUPImGWAEFGBK8LswpxgVfiYnyNi5SCCg+e2wGtxd4thspBBSQqYvN4O8xNpgf3rLPYgQUc4O5gGhgXtCYc/UNrwseOw9CmzkdK6BIpKAvyeLFZtIn9A9jhA0H48XD0W7HCijxcWIFVCeROgbKMykEVKeQOgbKM6kEVCeQIoi8U4gVUJ2EBFRGSECVSECVSECVSECVSECVSECVSECVuBFQBKKKOBANGEQRLKaNKsAc8+YOdXi4msdThliroHo8WbeiK4uSxBGuHckdxCRB3l6C3lsNF2MT9yq6sgjbWkDhKeA/yLk5MQVqzTcWRzKjuNsv936kL8iKYaFkR5lzf/DeMYR77723xQnSN1XP5dCIXTryyCMtKYLEkqpncmmMAy7MJiGC+JycxwVjgRpNjA08UTn3BbFLxHxSroWSQDnbTvoCrz1JaW0toPAUkN3D3VLc5K3WfCNlmMwoKrGzWFY9k0ujLyhoR8kBsoP4vuq5HBqZc9tss41lwuyyyy5ZzzEuhyYbirR7MoSqnsmlMQ5YJLnnkvvqch4X2EuyjanhRGX9nPuieO9kHHOVFfaj8ZlcGn3BdUXME7IspyY9CijinyjUxwBeZZVV1HrREAuk0ZIqSupo1TM5NFLs+YpgoBIyYyr3/uD6Ga4ZWXnllSf3T46NTRpXi7A4VP08p1aMC+oTIShzHhdcEk7JG2wngpLXcu0P3jfFcSnBwGY853HBe6eSPv3BdUVTkx4FFJeyEtjJ+TPuZLXmG32Hq5GCdqRXVz2TU7v00kstvoNjipz7g5RyKoizkyKluOqZXBo3Exx66KHhgAMOsH6peianxjH30KFDrTBszv1BSYqbbropjBw50hJxqp7JqbGW4H3iBoqqn+fUKONDzSo0ytTkE4PIuYxTxEHgNPEdoqvKPIPe2711rYCaaIgGT7WrWgXxllTKFl2Fc7n8mDpvuUOtopNOOsk2W6IriJx4MBHCVVdd1d4xUPznVMYgHpUxKFEZgxKVMShRGYMSlTEoURmDEpUxKFEdqIyQgCqRgCqRgCqRgCqRgCqRgCqRgCqRgMoICagSCagSCagSCagSCagSCagSCagSCaiMkIAqkYAqkYAqkYAqkYAqkYAqkYAqkYDKCAmoEgmoEgmoEgmoEgmoEgmoEgmoEgmojIgVUEyc7hq3jZPqzM3rHkgloHjvH374oTX+7ZEUAqp+LDQ2jAzNAzECquq9VzUvfdEqAUUffPDBB276AVILKM82g/9zSgFV9IWn8VDA/1kCKhNiBRTpzHfffXe4/PLLwxVXXDH562WXXWZ3qbEIU+bfAzECiknD+8SYcsUDdZS4JufWW28NTz/9tF314IkYAcU1F9TSwogwHhrHxoQJE8K1115rpRI8EOuBeuqppyytub4vikZf0E8844HUAgrRRK2txx57LNx7771WEsDLoplCQCES2GTef//9VmMLm3HHHXfY3KBvvBAroPjMuQaFOkoPPfSQ9cENN9wQrr/+erMlnu5elIDKiFgB9eSTT4a11147zDLLLFateaGFFrLGv6nqPWLECDfiIUZAsaAwJrniAuExZsyYcNBBB9n1MBtttJEV6fRUUylGQHF/HlfBzDHHHDYOqNbMmOAr388zzzxhmWWWMRHlgVgBxfyaa665Qv/+/Sf3QzFH6AteHzt2bO3p9ialgKLeGgKS/uEOygsvvNDGnRcPTKyAYqPBRmvXXXe1K5O4V4++5WoYGgICgeWBWAH15ptv2hzgb3CN1jHHHGP1CbGf3IYwevTo8Nprr9Webm8koDIiVkA98cQTVsKeqw0oKnfWWWfZPYW08847z3YTXnZSMQKKfuBqnE033dSKk77xxhvhlVdesXL+888/v5X3f/TRR2tPtz8xAooFZa211rJ7FilMSlVexgP/RozQT5tttpkVIvRArIDibsUVVljB/gbzo+gTinMOGjQorLnmmuaB8EAqATVx4kRbILfaaivrCzxw77//fu2nPogVUBTu5fPn2g88lK+//rr1Kzf5c2UOGy9uAvBArICisjv9wBVBVDOnH+iPa665xq7Y4jqlm2++OXz00Ue132hfJKAyIoWAYgHguI7FlsGDYKKxe/Iw4AtiBBTl+7kGhklev2vEJb3hhhuG6aefPpx//vm1V9ufGAHFMQz9iHjm86c/ijHx+OOPh/XXX99+7sUzGRsDxXu98sor7Zb6oj+YJ3hvd9ttN7sqxssRRQoBxeYCe8G9aRdddJGbGMlGYgQUYhGP02c/+1lby+rFI+Nk1KhR5pk88cQTXfRPrIBiPGE/uVqsfsM9adIkmyMzzzxzOPnkk61v2p2OFlB80AxIGsaMN8trUCz+xcJfvN7JxAooFkQEFEd13q/9iBFQjBfGVOOY4W/hlZp11lnDJZdcUnu1/YkRUEA/MJ/q4TXG2hprrGHiwcv8ihVQ9V/rYTzgqeNOtca+aldiBRRCgfhIvLLDhw93bTNiBBT9t9dee4Vpp5023HXXXbVXS6677jo7AueeUjwx7Q7jO0ZAYT9pjTA+hg0bZgKKvvaw6epoAQUEpaHwDzvsMAtcLBQvapc3TuwKSpidUiMskhzNEPjX28WlnUgpoDzslHoiRkBVgVEhwJ54H46zeuvqnxrECqgqnn322bDiiiuaQfR0XBN7hFcF8T9DhgyxC1gJovZCrIBiDnBsx5zA9ngmRkC9+uqrkwXUbbfdVnu1hCBqvFNbbrmlXdTb7sQKqO7AM8t4GTBggK3NHtaYjhdQzzzzTNh8883D7LPPbu5zov8BtcsCyuvcRF+1kBLItvvuu4fBgwe7CYLtiRQCCo8C/fXggw9a/A+ilAXYW+ZZSgFFdiJGcI899rBF0pOXAVILKAQTgfXEODDmqjwy7UpqAcU4oA/wPhEP5WnjESOg+MyxmYsuuqgFTrMJRXxgL5h7/G0Cq4tn250YAUXQNMeYHO2feuqpH/O+EFDPzzju9hAr2CoBRUjEkksuaX+b8eKBjhdQQHDvwIEDbRfAYC4gW2qxxRbr9mye3SIGYMYZZ7TAWO/ECihS9AmEXGeddcwQEEi+9957286JM2u8dV6EQwoBxfslUJhxRbD0aqutZkcWOZUxqIJgWDyV++yzj3lfPJFaQFEfjawrYuOYP56IEVCIBOYXx9lkV9GvZF4R58MGjE0pNtXL+IgRUPQFgeOsNSuttJIFjhNYz3i4+OKLbdPFGkOfPPfcc7Xfal9aIaBILCDZZN1117VjTi/rSBYCCuGAsiVDpkiP5AiPzBA+tO7ULmKLgNBx48aZMfFOrIDimJPJT30bBjyTnXomW2+9tQnNo446ykXgH6QQULjbEZLsLjfYYIOw1FJLhW233db62YsBgJQCiphC5ipBw+woPXmfILWAwuNCKYPDDz/8/xIOPBAjoKiTdsABB4RpppnGMq6woYgQBAj1fsjkpV/I3vXglYsRUICXmsQSNhak6u+www5h5MiRZj/23Xdfi/vZeeedXRzxphZQjC/KGZCNSCZefWB5u5OFgCJ7bNlll7XYFDKogOMnvkcMdLfYFa8zYLwtBFXECij6oAi8L2B3xbk+cQ603hqYT5sUAoqjKkQHwhIRzjglYBZPVGr3ditJKaAoCsjiQG0oshK9kVJAMS72228/mxf33Xdf7VU/xAgoPG+EPyAMiEGt9/xjM/DcUheLunJV8aftRqyAAo4smR/E5WIf+Fv0LXaIIHLicev7qV1JKaDwQPK+Kf3CWuxJPEEWAgqvE4sa7kEWC75H9Q8dOtRN5ewUxAqo7qCuB+5nDCIF4TyQMgaqgKKSGJbPfOYztmh4MQapBBQLI/EcHGdybO4x6yqlgOIogjgwsqu8HetCjIAiIHjPPfcMs802m3mfGBv1MP8WX3xxax6EdgoBVQWeKY54qX1ESIkHz3UqAYVwZl0nPpCvjWPEA1kIKEQSx0x8UOwEGag77rijq2KHKYgRUEwaXO20Rm8csUBbbLGFCSgCRxt/3o7ECCg8cOwmGyc8x8IkKkw33XQW/+Nl0UwloNiY4H0iGNbLdSWNpBJQjA+OaJZbbjnzdnskRkAx9g8++ODwuc99Lpx99tkfO6bjaJOwiiWWWMLFNT+tElDUT+MWB8qfeIh/ghQCChvK9UbE1DLn6j1vhIEgrjxsQLMQUGTesUBQRRuDwM6IWJ5PUvt8gLiiMSBF9p5nYgQUBpB4MLKrGs/pMS6rrrqq7Sa9BMrGCCgyZRBKZCLWg1DHs0lKMsbWg5CEVAKKmCc8LiycXj27KQQUdoXFBY83gjLF0ejUIEZAFd5IjrSxOY2bCRJ35ptvPhMOuRzhNcLawrxDSFInzIP3CVIIKDZYxCRzCsQJRgHrDKcYjJ0iXrmdyUJAEavC4GfCEgvFXTu4Tj8JzmfJGCHQ3MvRVE/ECiiCpfEykY7N4OaIhkrUBMging488EA3C2eMgKJkQd++fS09m3pH7JjwPnGZMGf5BIpyYaoXUggojmzIyCQQlH7wSgoBhW2h8jS2hrgOb8HjBTECCthMkWFG+ARxkowvNqIUVqXeD1lpeCE89E8KAVVsqLCleN3ISCQ7k2xmTxuOWAHFOGADivcRu8McYXOOEOGqn/XWW8/WmpThFa0iCwHFbogdz5xzzmk1oZgEU+Id4ANkR92vXz/LFvFOjICiD0k7psgZxxIcT5CWTIVhCibyFTHlxesSI6A4+l199dXtglhEFJOeRRdjiNcBT4wnUggoRCXB0mTTEAvmlRQCCg8liwDigWMZL56FRmIFFDaD4rIc6RIsTpYuthyvHOn82FQvWbupBBThDmSaEThNP1CFvPF4s92JFVB4n7CdZGhS/4oSDkUj/GGGGWawvvZw6pOFgMJTgteEIpCk0DbGrnQHuwLqG7GbfPjhh2uv+iVWQLGz5iJUBAOV3dlFsHuilEFRzyUHAYVHE89TcaRJPzBGqGiPgfWWSZJCQBHLwWLLpalTOr/akRQCio0ECwBCGoHgZU40EiuggAWGOYFYYp5wBxq2+JFHHnGVZJDqCA/RwXrGOoSY8mYrIFZAFSEQnFhwqwVf6xvikrhBxUBNOckEVJWxYrEkaByPidfYjBTECKhOI0ZAdRqpYqA6gRQCqlNIIaA6hVbEQHklVkB1Eh0poEiL5f4hYEfMsR1HTh4uamwlElAlElAlElAlElAlElAlElAlElAlHSegOF7BAFIRmsnPNQIUs/OSItpKEFC4TkUpoAqhnTPcF4mAytk7W0BgrwRUFwSBY0M9ZEO1Gq4nQkBpHekCAcUxbO4gJtteQLHQTamAIjV0p512Cn369LGgVgoactYsugr74YkTXXVo5IHqAg8Umwx5oIItkgQ7i65gXzZcElBdt1lIQHWBaKAEgTxQTjxQBCpz9MSExpXaXSM9ljL5BCySWs9XavXwOjuIqt/JpdF3FLQj84MFM9f+4H0zHqiUjdfl9ttvt5121bM5NI5prr76ais0+8ADD1jfVD2XQ+OaJ6qGczk0c6TqmVwa42DChAlWJZtMuk+yvZ3cSBjhknDGBllzOc8R3jtikqzK8ePHm/2oei6HVvQFx/5sxqcmPQooaogQrU/GE2Kqp0bWHMHiXB+A1wplWPVcbo2jCS5PRjTQR7Sq5zq9Fe+bvuCy02OPPTbbvqDx3vG4DBs2zHbYOfcFtoIsIOZI1c9zasW4wDNJ3bycxwWLI31BbSJONKqeyamxliAmcVLkPC5oaBLGBBplatKjgOJaBGrLkB48ceJEtV40qr1SQZyYH/5d9UwuregLxhRfc+8PGuOi6vWcGuOAfuBYV2Nios0N+qLqZzk1xgJhIOqLrkZ/kFhQ9bPcWmEz0ChTkx4FlBBCCCGE+DgSUEIIIYQQTSIBJYQQQgjRJBJQQgghhBBNIgElhBBCCNEkElBCCCGEEE0iASWEEEII0SQSUEIIIYQQTSIBJYQQQgjRJBJQQgghhBBNIgElhBBCCNEkElBCCCGEEE0iASWEEEII0SQSUEIIIYQQTSIBJYQQQgjRJJPefS/8F9XSOjND7ECNAAAAAElFTkSuQmCC)
maths-General
maths-
Karl Pearson's coefficient of correlation between the heights (in inches) of teachers and students corresponding to the given data is
![](data:image/png;base64,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)
Karl Pearson's coefficient of correlation between the heights (in inches) of teachers and students corresponding to the given data is
![](data:image/png;base64,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)
maths-General
Maths-
If the mean of the numbers 27+x, 31+x, 89+x, 107+x,156+x, is 82, then the mean of 130+x, 126+x, 68+x, 50+x, 1+x is
If the mean of the numbers 27+x, 31+x, 89+x, 107+x,156+x, is 82, then the mean of 130+x, 126+x, 68+x, 50+x, 1+x is
Maths-General
Maths-
The mean of a set of observation is
. If each observation is divided by a, a¹ 0 and then is increased by 10, then the mean of the new set is
The mean of a set of observation is
. If each observation is divided by a, a¹ 0 and then is increased by 10, then the mean of the new set is
Maths-General
maths-
Compute the median from the following table
![](data:image/png;base64,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)
Compute the median from the following table
![](data:image/png;base64,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)
maths-General
maths-
The following data gives the distribution of height of students
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/503428/1/975008/Picture6.png)
The median of the distribution is[AMU 1994]</span
The following data gives the distribution of height of students
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/503428/1/975008/Picture6.png)
The median of the distribution is[AMU 1994]</span
maths-General
maths-
What is the standard deviation of the following series
![](data:image/png;base64,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)
What is the standard deviation of the following series
![](data:image/png;base64,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)
maths-General
chemistry-
Compound (A)
The Compound (A) is:
Compound (A)
The Compound (A) is:
chemistry-General
maths-
The order of [x y z]
is
The order of [x y z]
is
maths-General
maths-
If the matrix
is singular, then
=
If the matrix
is singular, then
=
maths-General
maths-
If the matrix
is singular, then the value of is :
If the matrix
is singular, then the value of is :
maths-General
maths-
Let A =
be a matrix, then(determinant of A ) × (adjoint of inverse of A)is equal to-
Let A =
be a matrix, then(determinant of A ) × (adjoint of inverse of A)is equal to-
maths-General
maths-
Let X=
, D =
and A =
. If X = A–1 D, then X is equal to
Let X=
, D =
and A =
. If X = A–1 D, then X is equal to
maths-General
maths-
If k .
is an orthogonal matrix, then k is equal to-
If k .
is an orthogonal matrix, then k is equal to-
maths-General
maths-
If A is square matrix such that A2 = A, then |A| equals-
If A is square matrix such that A2 = A, then |A| equals-
maths-General