`If x_1, x_2, .....x_n` are n observations such that `sum_(i=1)^n (x_i)^2=400` and `sum_(i=1)^n x_i=100` then possible values of n among the following is (1) 18 (2) 20 (3) 24 (4) 27

`If x_1, x_2, .....x_n` are n observations such that `sum_(i=1)^n (x_i

1.	`If x_1, x_2, .....x_n` are n observations such that `sum_(i=1)^n (x_i)^2=400` and `sum_(i=1)^n x_i=100` then possible values of n among the following is (1) 18 (2) 20 (3) 24 (4) 27
Answer» AM of `m^(th)` power>`m^(th)`power of AM `((x_1^m+x_2^m...+x_n^m)/n)>((x_1+x_2+x_3+..+x_n)/n)^m` Lets take m=2 `(x_1^2+x_2^2+...+x_n^2)/n>(x_1+x_2+x_3+...+x_n)/n^2` `sumx_i^2/n>[sumx_i]^2/n^x` `n>100^2/400` `n>25` option 4 is correct.

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`If x_1, x_2, .....x_n` are n observations such that `sum_(i=1)^n (x_i)^2=400` and `sum_(i=1)^n x_i=100` then possible values of n among the following is (1) 18 (2) 20 (3) 24 (4) 27

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