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Let the other two observations be x and y. Then, Mean=4.4â??51+2+6+x+yâ??=4.4â??x+y=13 Variance=8.24 â??51â??(12+22+62+x2+y2)â??(4.4)2=8.24 â??541+x2+y2â??â??19.36=8.24 â??x2+y2+41=138â??x2+y2=97...(ii) Now, (xâ??y)2+(x+y)2 â??(xâ??y)2+169=2Ã?97[Using(i)and(ii)] â??(xâ??y)2=25 â??xâ??y=5...(iii) Solving(i)and(iii), x=9 and y=4
Gaurav Choubey
Let the other two observations be x and y. Then, Mean=4.4â??51+2+6+x+yâ??=4.4â??x+y=13 Variance=8.24 â??51â??(12+22+62+x2+y2)â??(4.4)2=8.24 â??541+x2+y2â??â??19.36=8.24 â??x2+y2+41=138â??x2+y2=97...(ii) Now, (xâ??y)2+(x+y)2 â??(xâ??y)2+169=2Ã?97[Using(i)and(ii)] â??(xâ??y)2=25 â??xâ??y=5...(iii) Solving(i)and(iii), x=9 and y=4
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