1.

For a frequency distribution standard deviation is computed by applying the formula       [Kurukshetra CEE 1999]

A.                 \[\sigma =\sqrt{\left( \frac{\sum \,fd}{\sum \,f} \right)-\frac{\sum \,f{{d}^{2}}}{\sum \,f}}\]        
B.                 \[\sigma =\sqrt{\frac{\sum \,f{{d}^{2}}}{\sum \,f}-{{\left( \frac{\sum \,f{{d}^{2}}}{\sum \,f} \right)}^{2}}}\]
C.                 \[\sigma =\sqrt{{{\left( \frac{\sum \,fd}{\sum \,f} \right)}^{2}}-\frac{\sum \,f{{d}^{2}}}{\sum \,f}}\]            
D.                 \[\sigma =\sqrt{\frac{\sum \,f{{d}^{2}}}{\sum \,f}-{{\left( \frac{\sum \,fd}{\sum \,f} \right)}^{2}}}\]
Answer» E.


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