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JEE Mains · Maths · STD 11 - 13. statistics

આપેલ આવૃતિ વિતરણ માટે
વર્ગ: \(0-6\) \(6-12\) \(12-18\) \(18-24\) \(24-30\)
આવૃતિ: \(a\) \(b\) \(12\) \(9\) \(5\)
જો મધ્યક \(=\frac{309}{22}\) અને મધ્યસ્થ \(=14\), હોય તો  \((a-b)^{2}\) ની કિમંત મેળવો.

  1. A \(5\)
  2. B \(6\)
  3. C \(7\)
  4. D \(11\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(7\)

Step-by-step Solution

Detailed explanation

Class Frequency \(X_i\) \(F_i\,X_i\) \(0-6\) \(a\) \(3\) \(3a\) \(6-12\) \(b\) \(9\) \(9b\) \(12-18\) \(12\) \(15\) \(180\) \(18-24\) \(9\) \(21\) \(189\) \(24-30\) \(5\) \(27\) \(135\) \(N=(26+a+b)\) \((504+3a+9b)\) Mean \(=\frac{3 a+9 b+180+189+135}{a+b+26}=\frac{309}{22}\)…
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