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AP EAMCET201823 Apr 2018Evening ShiftMathematicsStatisticsActual

The standard deviation of the scores 505, 510, 515,520, ., 595 is

Options

  1. A500+5 30
  2. B505+ 30
  3. C5 30
  4. D5+ 30

Correct answer

C. 5 30

Step-by-step solution

Given, scores 505, 510, 515, 520, ... 595 the mean of these 19 scores =550= X So, aligned _ i=1 ¹⁹ (x_i- x )^2 & =2 (45^2+40^2+35^2+ +5^2 ) & =2 5^2 [1^2+2^2+3^2+ +9^2 ] aligned So, standard derivation = _ i=1 ¹⁹ (x_i- x )^2 n = 2 5^2 9 10 19 6 19 =5 30

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