A) a = 1, b = 6
B) a = 3, b = 4
C) a = 0, b = 7
D) a = 5, b = 2
Correct Answer: B
Solution :
Variance is \[\frac{\sum {{x}^{2}}}{n}-{{\left( \frac{\sum x}{n} \right)}^{2}}=6.8\] and \[\left( \frac{\sum x}{n} \right)=6\] (given) \[\Rightarrow \frac{{{a}^{2}}+{{b}^{2}}+64+25+100}{5}-36=6.8\]\[\Rightarrow {{a}^{2}}+{{b}^{2}}+9=34.0\Rightarrow {{a}^{2}}+{{b}^{2}}=25\]
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