A) 50000
B) 250000
C) 252500
D) 255000
Correct Answer: C
Solution :
[c] Given, \[\bar{x}=50,n=100\]and \[\Sigma =5\] \[\Sigma \,50=\frac{\Sigma \,{{x}_{i}}}{100}\] \[\Rightarrow \Sigma \,{{x}_{i}}=50\times 100=5000\] Now, \[{{\Sigma }^{2}}=\frac{\Sigma \,x_{i}^{2}}{n}-{{(\bar{x})}^{2}}\] \[\Rightarrow 25=\frac{\Sigma \,x_{i}^{2}}{100}-{{(50)}^{2}}\] \[\Rightarrow 2525=\frac{\Sigma \,x_{i}^{2}}{100}\] \[\therefore \,\,\,\Sigma \,{{x}_{i}}^{2}=252500\]
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