Let `x_(1), x_(2),….,x_(n)` be n observation such that `sum(x_(i))^(2)=400 and sumx_(i)=40`, then a possible value of n among the following is

Let x_(1), x_(2),…,x_(n) be n observations such that sum x_(i)^(2) = 400 and sum x_(i) = 80 . Then a possible value of n among the following is

Let x_(1), x_(2),…..,x_(3) be n observations such that Sigmax_(i)^(2)=300 and Sigmax_(1)=90 . Then a possible value of n among the following is

Let x_(1),x_(2),…x_(n) be n observations such that Sigmax_(i)^(2)=500 and Sigmax_(1)=100 . Then, an impossible value of n among the following is

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

If x_(1), x_(2), ………,x_(n) are n values of a variable x such that sum(x_(i)-3) = 170 and sum(x_(i)-6) = 50. Find the value of n and the mean of n values.

If x_1,x_2,.......,x_n are n values of a variable X such that sum_(i=1)^n (x_i-2)=110 and sum_(i=1)^n(x_i-5) =20 . Find the value of n and the mean.

The standard deviation of n observations x_(1), x_(2), x_(3),…x_(n) is 2. If sum_(i=1)^(n) x_(i)^(2) = 100 and sum_(i=1)^(n) x_(i) = 20 show the values of n are 5 or 20

Let x_(1),x_(2),……,x_(n) be n observations and barx be their arithmetic mean. The formula for the standard deviation is

Let 1 x_(1),x_(2)….x_(n) be n obervations .Let w_(i)=lx_(i) +k " for " i=1,2….n, where l and k are constants. If the mean of x_(i) is 48 and their standard deviation is 12 the mean of w_(i) 's is 55 and standard deviation of w_(i) is 15 then the value of l and k should be

A data consists of n observations : x_(1), x_(2),……, x_(n) . If Sigma_(i=1)^(n)(x_(i)+1)^(2)=11n and Sigma_(i=1)^(n)(x_(i)-1)^(2)=7n , then the variance of this data is