यदि 0, 1, 2, 3 ______ 9 का मानक विचलन K है, तो 10, 11, 12, 13 _____ 19 का मानक विचलन क्या होगा?

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RRC Group D Previous Paper 10 (Held On: 28 Sep 2018 Shift 1)
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  1. K + 1
  2. K
  3. के+4
  4. K + 8

Answer (Detailed Solution Below)

Option 2 : K
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Detailed Solution

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प्रयुक्त सूत्र:

  • σ2 = ∑(xi – x)2/n
  • मानक विचलन समान होता है जब प्रत्येक तत्व को एक ही स्थिरांक से बढ़ाया जाता है

गणना:

चूंकि प्रत्येक डेटा में 10 की वृद्धि होती है,

मानक विचलन में कोई परिवर्तन नहीं होगा क्योंकि (xi – x) समान रहता है।

∴ 10, 11, 12, 13 _____ 19 का मानक विचलन K होगा।

Alternate Method qImage32127

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