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JEE Mains · Maths · STD 11 - 13. statistics

बारंबारता बंटन
चर \(( x )\) \(x _{1}\) \(x _{1}\) \(x _{3} \ldots \ldots x _{15}\)
बारंबारता \((f)\) \(f _{1}\) \(f _{1}\) \(f _{3} \ldots f _{15}\)
जहाँ \(0 < x _{1} < x _{2} < x _{3} < \ldots < x _{15}=10\) तथा \(\sum_{ i =1}^{15} f _{ i }>0\) है, का मानक विचलन, निम्न में से कौन-सा नहीं हो सकता ?

  1. A \(2\)
  2. B \(1\)
  3. C \(4\)
  4. D \(6\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(6\)

Step-by-step Solution

Detailed explanation

\(\because \sigma^{2} \leq \frac{1}{4}( M - m )^{2}\) Where \(M\) and \(m\) are upper and lower bounds of values of any random variable. \(\therefore \quad \sigma^{2}<\frac{1}{4}(10-0)^{2}\) \(\Rightarrow 0<\sigma<5\) \(\therefore \sigma \neq 6\)
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