If mean and variance of 2, 3, 16, 20, 13, 7, x, y are 10 and 25 respectively, then xy =
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answer is 124.
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Detailed Solution
It is given that2+3+16+20+13+7+x+y8=10 and1822+32+162+202+132+72+x2+y2−102=25⇒ x+y+61=80 and x2+y2+8878=125⇒ x+y=19 and x2+y2=113⇒ (x+y)2=361 and x2+y2=113⇒ x2+y2+2xy=361 and x2+y2=113⇒ x2+y2+2xy=361 and x2+y2=113⇒ 113+2xy=361⇒2xy=248⇒xy=124