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TS EAMCET · Maths · Statistics

Let O be the mean deviation of the first five odd natural numbers about their mean and P be the mean deviation of the first five prime numbers about their mean. Then P-O=

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

Answer & Solution

Correct Answer

(B) 0.32

Step-by-step Solution

Detailed explanation

O=∑i=1nxi-xn, where x1=1, x2=3, x3=5, x4=7, x5=9 x=1+3+5+7+95=5 So, O=5-1+5-3+5-5+5-7+5-95 ⇒O=125=2.4 P=∑i=1nyi-yn, where y1=2, y2=3, y3=5, y4=7, y5=11 y=2+3+5+7+115=285=5.6 So, P=2-5.6+3-5.6+5-5.6+7-5.6+11-5.65 ⇒P=13.65=2.72 So, P-O=2.72-2.4=0.32