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Question: Answered & Verified by Expert
The mean square deviation of a set of observations x1,x2......xn about a point m is defined as 1ni=1nxi-m2. If the mean square deviations about 1 and 1 of a set of observations are 7 and 3 respectively. The standard deviation of those observations is
MathematicsStatisticsJEE Main
Options:
  • A 2
  • B 2
  • C 5
  • D 3
Solution:
2282 Upvotes Verified Answer
The correct answer is: 3
i=1nxi+12n=7(given)
xi2+2xi+n=7n
xi2+2xi=6n … (1)
Also, xi-12n=2 (given)
xi2-2xi+n=3n
xi2-2xi=2n … (2)
From (1) and (2)
xi2=4n, xi=n
Standard deviation=xi2n-xin2
=4nn-1=3

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