If x 1 , x 2 , x 3 , x 4 , x 5 . . . . . . . x n are n observations such that ∑ i = 1 n x i 2 = 400 and ∑ i = 1 n x i = 100 , then the possible value of n among the following is

Question

If x 1 , x 2 , x 3 , x 4 , x 5 . . . . . . . x n are n observations such that ∑ i = 1 n x i 2 = 400 and ∑ i = 1 n x i = 100 , then the possible value of n among the following is, 18, 20, 24, 27

MARKS App · Accepted Answer

We know that, σ 2 ≥ 0 ⇒ Σ x i 2 n - Σ x i n 2 ≥ 0 ⇒ 400 n - 10000 n 2 ≥ 0 ⇒ n ≥ 2 5

Search any question & find its solution

Looking for more such questions to practice?