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MathsJEE Main 6 Apr 2026, Shift 1·Q9·MCQ·Easy–moderate

Statistics · Mean and standard deviation

A data consists of 20 observations x1,x2,…,x20x_1, x_2, \ldots, x_{20}. If ∑i=120(xi+5)2=2500\displaystyle\sum_{i=1}^{20}(x_i + 5)^2 = 2500 and ∑i=120(xi−5)2=100\displaystyle\sum_{i=1}^{20}(x_i - 5)^2 = 100, then the ratio of mean to standard deviation of this data is:
  1. (1)2:12:1
  2. (2)3:13:1
  3. (3)3:23:2
  4. (4)4:14:1

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