A) \[3{{a}^{2}}-23a+44=0\]
B) \[3{{a}^{2}}-26a+55=0\]
C) \[3{{a}^{2}}-32a+84=0\]
D) \[3{{a}^{2}}-34a+91=0\]
Correct Answer: C
Solution :
\[\because \]\[SD=\sqrt{\frac{\Sigma x_{i}^{2}}{n}{{\left( \frac{\Sigma {{x}_{i}}}{n} \right)}^{2}}}\] \[\therefore \]\[\frac{49}{4}=\frac{4+9+{{a}^{2}}+121}{4}{{\left( \frac{16+a}{4} \right)}^{2}}\] \[\Rightarrow \]\[3{{a}^{2}}-32a+84=0\]
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