A) \[\frac{7}{2},\,\sqrt{\frac{35}{12}}\]
B) 3, 3
C) \[\frac{7}{2},\,\sqrt{3}\]
D) \[3,\,\frac{35}{12}\]
Correct Answer: A
Solution :
Mean \[\bar{x}=\frac{1+2+3+4+5+6}{6}\]\[=\frac{21}{6}=\frac{7}{2}\] S.D. \[=\sigma =\sqrt{\frac{1}{n}\Sigma x_{i}^{2}-{{(\bar{x})}^{2}}}\] \[=\sqrt{\frac{1}{6}(1+4+9+16+25+36)-\frac{49}{4}}\] \[=\sqrt{\frac{91}{6}-\frac{49}{4}}\]\[=\sqrt{\frac{182-147}{12}}\]\[=\sqrt{\frac{35}{12}}\].
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