A) \[\sqrt{\frac{81}{34}}\]
B) \[5\]
C) \[\sqrt{5}\]
D) \[\frac{3}{2}\]
Correct Answer: D
Solution :
Standard deviation \[=\sqrt{\frac{\underset{j=1}{\mathop{\overset{18}{\mathop{\Sigma }}\,}}\,{{({{x}_{j}}-8)}^{2}}}{n}-{{\left( \frac{\underset{j=1}{\mathop{\overset{18}{\mathop{\Sigma }}\,}}\,({{x}_{k}}-8)}{n} \right)}^{2}}}\] \[=\sqrt{\frac{45}{18}-{{\left( \frac{9}{18} \right)}^{2}}}\] \[=\sqrt{\frac{45}{18}-\frac{1}{4}}=\sqrt{\frac{81}{36}}=\frac{9}{6}=\frac{3}{2}\]
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