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Correlation — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsCorrelation1 Mark
Question
If $\Sigma\text{(X}-\overline{\text{X}})\text{(Y}-\overline{\text{Y}})=90,\Sigma(\text{X}-\overline{\text{X}})^2=144,\Sigma\text{(Y}-\overline{\text{Y}})^2=250$ and N=50, what is karl Person's correlation coeffcient?
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Answer

$\text{r}=\frac{\Sigma\text{(X}-\overline{\text{X}})(\text{Y}-\overline{\text{Y}})}{\sqrt{\Sigma\text{(X}-\overline{\text{X}}) ^2}\sqrt{\Sigma(\text{Y}-\overline{\text{Y}})^2}}\ $$=\frac{90}{\sqrt{144}\sqrt{250}}=\frac{90}{12\times15.8}=\frac{90}{189.7}=0.47 $

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