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QJEEM19Ma65ce: JEE Main 2019 Mathematics - Class 11 JEEM19Ma65ce Solution: If the data x 1 , x 2 ,......., x 10 is such that the mean of…

If the data x1, x2,......., x10 is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of all of these is 2,000 ; then the standard deviation of this data is :

Multiple Choice Options

  • A 2
  • B 2
  • C 22
  • D 4

Step-by-Step Verified Solution

σ2=∑xi210−(∑xi10)2→(i)

Now x1 + x2 + x3 + x4 = 44 & x5 + x6 + ......... + x10 = 96

Hence σ2 = 200010−(14010)2 = 200 - 196 = 4

Hence σ = 2

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