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MathsJEE Main 4 Apr 2026, Shift 2·Q8·MCQ·Easy–moderate

Statistics · Variance and standard deviation

For 10 observations x1,x2,…,x10x_1, x_2, \ldots, x_{10}, if ∑i=110(xi+2)2=180\displaystyle\sum_{i=1}^{10}(x_i + 2)^2 = 180 and ∑i=110(xi−1)2=90\displaystyle\sum_{i=1}^{10}(x_i - 1)^2 = 90, then their standard deviation is:
  1. (1)2
  2. (2)3\sqrt3
  3. (3)222\sqrt2
  4. (4)3

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