The variables x1, x2, x3, ______, x100 are in ascending order of their magnitude, then the median of the variable is ______. ( WBBSE – 2019 )

The variable x1, x2,x3, ………….,x100 are in ascending order of their magnitude, then the median of the variable is ______. Answer: ( x50+x51 )/2 Explanation: Number of variables (x) = 100 ∴ Median = 1/2 [ (x/2)th+(x/2+1)th ] =1/2 [ (100/2)th+(100/2+1)th ] =1/2 [ 50th+51th ] =1/2 ( x50+x51 )

In a partnership business, the ratio of share of profit of two friends is 1/2 : 1/3, then the ratio of their principal is –

Solution : Ratio of the principal = Ratio of profit share                                        = 1 / 2 : 1 / 3                                        = ( 6/2 ) : ( 6/3 )                                        = 3 : 2 The required answer is ( b ) 3 : 2