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KCET2023MathematicsStatistics

The mean of 100 observations is 50 and their standard deviation is 5 . Then, the sum of squares of all observations is

Options

  1. A252500
  2. B250000
  3. C255000
  4. D50000

Correct answer

A. 252500

Step-by-step solution

We know, standard deviation, aligned P^2 & = x^2 n -( x )^2 P & =5, x=50, n=100 aligned aligned & 25= x^2 100 -(50)^2 & x^2=252500 aligned Thus, sum of squares of all observation in 252500 .

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