If the arithmetic mean of the observations `x_1,x_2,x_3,.............x_n` is `1`, then the arithmetic mean of `x_1/k,x_2/k,x_3/k,.............x_n/k , (k >0)` is

If the arithmetic mean of the observations x_(1),x_(2),x_(3),............x_(n) is 1, then the arithmetic mean of (x_(1))/(k),(x_(2))/(k),(x_(3))/(k),cdots......(x_(n))/(k),(k>0) is

If the arithmetic mean of the observations x_(1), x_(2), x_(3), ........, x_(n) is 1, then the arithmetic mean of (x_(1))/(k),(x_(2))/(k),(x_(3))/(k),......,(x_(n))/(k)(k gt 0) is

If M is the mean of n observations x_(1)-k, x_(2)-k, x_(3)-k,…., x_(n)-k , where k is any real number, then what is the mean of x_(1), x_(2), x_(3) …., x_(n) ?

If x_(1),x_(2),x_(3),.........,x_(n) be n observations with mean barx and variance sigma^(2) . The mean and variance of x_(1)+k,x_(2)+k,x_(3)+k,......,x_(n)+k respectively are (i) barx+k,sigma^(2) (ii) barx+k,sigma^(2)+k^(2) (iii) barx+k,(sigma+k)^(2) (iv) barx,sigma^(2)

Let n and k be positive such that n leq (k(k+1))/2 .The number of solutions (x_1, x_2,.....x_k), x_1 leq 1, x_2 leq 2, ........,x_k leq k , all integers, satisfying x_1 +x_2+.....+x_k = n , is .......

Let n and k be positive such that n leq (k(k+1))/2 .The number of solutions (x_1, x_2,.....x_k), x_1 leq 1, x_2 leq 2, ........,x_k leq k , all integers, satisfying x_1 +x_2+.....+x_k = n , is .......

The mean of n observations is x. If k is added to each observation,then the new mean is X (b) X+k(c)X-k(d)kX

The mean of n observations is xdot If k is added to each observation, then the new mean is X (b) X +k (c) X -k (d) k X