A) 7
B) 5
C) 1
D) 3
Correct Answer: A
Solution :
Mean \[\overline{x}=4,{{\sigma }^{2}}=5.2,\]\[n=5,\]\[{{x}_{1}}=3,\]\[{{x}_{2}}=4={{x}_{2}}\] | |
\[\sum{xi}=20\] | |
\[{{x}_{4}}+{{x}_{5}}=9\] | ? (i) |
\[\frac{\sum{x_{i}^{2}}}{x}-{{(\overline{x})}^{2}}={{\sigma }^{2}}\]\[\Rightarrow \] \[\sum{x_{i}^{2}=106}\] | |
\[x_{4}^{2}+x_{5}^{2}=65\] | ? (iii) |
Using (i) and (iii), | |
\[{{({{x}_{4}}+{{x}_{5}})}^{2}}=49\] | |
\[\left| {{x}_{4}}-{{x}_{5}} \right|=7.\] |
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