If x_1, x_2, x_3, x_4, x_5.......x_n are n observations such that ∑i=1nxi2=400 and ∑i=1nx_i=100, then the possible value of n among the following is

Question

MARKS Content Team · Accepted Answer

Correct answer: (D) 27. We know that, σ^2≥0 ⇒(Σxi2)/n-Σxin^2≥0 ⇒400/n-10000/(n^2)≥0 ⇒n≥25

If $x_{1}, x_{2}, x_{3}, x_{4}, x_{5} . . . . . . . x_{n}$ are $n$ observations such that $\sum_{i = 1}^{n} x_{i}^{2} = 400$ and $\sum_{i = 1}^{n} x_{i} = 100,$ then the possible value of $n$ among the following is