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The following information is related to the sample of the size of \(60, \sum x^2=18000, \ \sum x=960\), So variance isA. 55B. 44C. 22D. 161. D2. B3. A4. C |
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Answer» Correct Answer - Option 2 : B Given: Sample size = 60 \(\sum x^2=18000, \ \sum x=960\) Formula used: \({\rm{Variance\;}} = {\rm{\;}}\frac{1}{{\rm{n}}}\sum {{\rm{x}}^2}\; - \;{\left( {\frac{{\sum {\rm{x}}}}{{\rm{n}}}} \right)^2}\) Where, n = sample rate Calculation: Variance ⇒ (1/60) × 18000 - (960/60)2 ⇒ 300 - (16)2 ⇒ 300 - 256 ⇒ 44 ∴ The variance is 44. |
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