NIMCET 2016 Question Paper with solutions

Question : 94 of 120

Marks: +1, -0

Let

x_1, x_2

, ....

x_n

be n observation such that Σ

x_i^2

= 400 and Σ

x_i

= 80 . Then a possible value of ‘n’ among the following is;

Solution:

Given

Σx_i^2=400

and

Σx_i=80

Applying variance rule

{Σx_i^2}/n ≥ (Σx_i)^2/n^2

⇒400/n ≥ {80×80}/n^2

⇒n ≥ 6400/400

⇒n ≥ 16

So, possible value of ncan be 20

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