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KCET2026MathematicsStatistics

The mean and standard deviation of 100 items are 50 and 4 , respectively then the sum of all squares of the items is

Options

  1. A250000
  2. B251600
  3. C256100
  4. D265100

Correct answer

B. 251600

Step-by-step solution

Given n = 100 , x = 50 , and = 4 . The formula for variance is ^2 = x_i^2 n - ( x )^2 . Substituting the given values: 4^2 = x_i^2 100 - (50)^2 16 = x_i^2 100 - 2500 x_i^2 100 = 2516 x_i^2 = 251600 Answer: 251600

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