A) 0
B) 4
C) 2
D) 1
Correct Answer: C
Solution :
\[\bar{x}=\frac{\sum{xi}}{n}=9\] \[s.d=\sqrt{\sum{\frac{xi-\bar{x}}{n}=0}}\] \[\Rightarrow \]\[{{X}_{i}}=\bar{x}\forall i\] \[\therefore \]each term in the original observation \[\Rightarrow \]observation\[1=\{9,9,9,9,9\}\] \[\bar{x}=\frac{\sum{xi}}{n}=\frac{9+9+9+9{{x}_{5}}}{5}\] \[\Rightarrow \]\[10=\frac{36+{{X}_{5}}}{5}\] \[\Rightarrow \]\[{{x}_{5}}=14\] \[s.d=\sqrt{\frac{\sum{{{({{x}_{i}}-{{x}^{-1}})}^{2}}}}{n}}\] \[=\frac{\sqrt{{{(9-10)}^{2}}+{{(9-10)}^{2}}+{{(9-10)}^{2}}+(10-10)}}{5}\] \[=\sqrt{\frac{4+{{4}^{2}}}{5}}\] \[=\sqrt{\frac{20}{5}}\]
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