Question

the following observation have been arranged in ascending order x, 2 X + 1, 2 X + 52 X + 9 if the median of the data is 23.5 find x

Answer 1

Answer:

x is 10.25

Step-by-step explanation:

x , 2x+1 , 2x+5 , 2x+9

n = 4 ; i.e.  = even

Therefore median = ((n/2)th observation + ((n/2)+1)th observation)/2

=  (2nd observation + 3rd observation)/2

= (2x+1+2x+5)/2

= (4x+6)/2

=2x+3

now , median = 23.5

Thus , 2x+3 = 23.5

=> 2x = 20.5

=> x = 10.25