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 [ 50^th+51^th ]

=1/2 ( x₅₀+x₅₁ )