PQ. Show that the two formulae for the standard deviation of ungrouped – InterviewSolution

1.	PQ. Show that the two formulae for the standard deviation of ungrouped data δ=√1n∑(xi−¯X)2 and δ=√1n∑(xi−¯X)2 are equivalent, wehere ¯X=1n∑xi.
Answer» PQ. Show that the two formulae for the standard deviation of ungrouped data $δ = \sqrt{\frac{1}{n} \sum (x_{i} - ¯ X)^{2}}$ and $δ = \sqrt{\frac{1}{n} \sum (x_{i} - ¯ X)^{2}}$ are equivalent, wehere $¯ X = \frac{1}{n} \sum x_{i}$ .

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