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JEE Mains · Maths · STD 11 - 13. statistics

ધારો કે \(a_1, a_2, \ldots a_{10}\) એવા \(10\) અવલોકનો છે કે જેથી \(\sum_{k=1}^{10} a_k=50\) અને \(\sum_{k < j} a_k \cdot a_j=1100\), તો \(a_1, a_2, \ldots, a_{10}\) નું પ્રમાણિત વિચલન ........... છે.

  1. A \(5\)
  2. B  \(\sqrt{5}\)
  3. C \(10\)
  4. D \(\sqrt{115}\)
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Answer & Solution

Correct Answer

(B)  \(\sqrt{5}\)

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Detailed explanation

\( \sum_{\mathrm{k}=1}^{10} \mathrm{a}_{\mathrm{k}}=50 \) \( \mathrm{a}_1+\mathrm{a}_2+\ldots+\mathrm{a}_{10}=50\) \(.........(i)\) \( \sum_{\forall \mathrm{k}<\mathrm{j}} \mathrm{a}_{\mathrm{k}} \mathrm{a}_{\mathrm{j}}=1100 \) \(...........(ii)\)…
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