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COMEDK · Maths · 29. Statistics

Let 'P' be the mean deviation of the first five odd natural numbers about their mean and 'Q' be the mean deviation of the first five prime numbers about their mean. The \(Q-P=\)

  1. A 0.32
  2. B 0.23
  3. C 0.3
  4. D 0.2
Verified Solution

Answer & Solution

Correct Answer

(A) 0.32

Step-by-step Solution

Detailed explanation

The first five odd natural numbers are \(1, 3, 5, 7, 9\). Mean \(\bar{x}_P = \dfrac{1 + 3 + 5 + 7 + 9}{5} = \dfrac{25}{5} = 5\). Mean deviation \(P = \dfrac{|1-5| + |3-5| + |5-5| + |7-5| + |9-5|}{5} = \dfrac{4 + 2 + 0 + 2 + 4}{5} = \dfrac{12}{5} = 2.4\). The first five prime…