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Question: Answered & Verified by Expert
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=
MathematicsStatisticsTS EAMCETTS EAMCET 2021 (05 Aug Shift 1)
Options:
  • A 0.3
  • B 0.32
  • C 0.23
  • D 0.2
Solution:
1868 Upvotes Verified Answer
The correct answer is: 0.32

O=i=1nxi-xn,

where x1=1x2=3x3=5x4=7x5=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=2y2=3y3=5y4=7y5=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

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