Consider the 10 observations 2, 3, 5, 10, 11, 13, 15, 21, a and b such that mean of observation in 9 and variance is 34.2. Then the mean deviation about median is (A) 3 (B) 6 (C) 5 (D) 7
Let product of 3 terms in G.P. is 27. If sum of these 3 terms lies in the interval $\mathbf { R } - \mathbf { ( a , b ) }$, then $\mathbf { a } ^ { \mathbf { 2 } } \boldsymbol { + } \mathbf { b } ^ { \mathbf { 2 } }$ is equal to
Let side AB of an equilateral triangle ABC is given by $x + 2 \sqrt { 2 } y - 4 = 0$, where $A$ is on $x$-axis and $B$ is an $y$-axis. If origin $( 0,0 )$ is the orthocentre of the triangle ABC and vertex C is $( \alpha , \beta )$, then the value of $| \alpha - \sqrt { 2 \beta } |$ is (A) 0 (B) 2 (C) 4 (D) 6