Let r be the range and \[{{S}^{2}}=\frac{1}{n-1}\sum\limits_{i=1}^{n}{{{({{x}_{i}}-\bar{x})}^{2}}}\] be the S.D. of a set of observations \[{{x}_{1}},\,{{x}_{2}},\,.....{{x}_{n}}\], then

Let r be the range and \[{{S}^{2}}=\frac{1}{n-1}\sum\limits_{i=1}^{n}{

1.	Let r be the range and \[{{S}^{2}}=\frac{1}{n-1}\sum\limits_{i=1}^{n}{{{({{x}_{i}}-\bar{x})}^{2}}}\] be the S.D. of a set of observations \[{{x}_{1}},\,{{x}_{2}},\,.....{{x}_{n}}\], then
A.	\[S\le r\sqrt{\frac{n}{n-1}}\]
B.	\[S=r\sqrt{\frac{n}{n-1}}\]
C.	\[S\ge r\sqrt{\frac{n}{n-1}}\]
D.	None of these
Answer» B. \[S=r\sqrt{\frac{n}{n-1}}\]

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Let r be the range and \[{{S}^{2}}=\frac{1}{n-1}\sum\limits_{i=1}^{n}{{{({{x}_{i}}-\bar{x})}^{2}}}\] be the S.D. of a set of observations \[{{x}_{1}},\,{{x}_{2}},\,.....{{x}_{n}}\], then

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