If the median of the data 4,7,x - 1,X - 3,l6,25, written in ascending order, is 13 then x is equal to
Since there are 6 number of observation in all, which is an even number of observation.
Median will be found at the aggregate of (6/2 = ) 3rd and (6/2 + 1 = ) 4th position.
3rd value = x – 1 and 4th value = x – 3
Taking their aggregate, we get
Median = (x – 1 + x – 3)/2
⇒ 13 = (2x – 4)/2 [∵ median = 13]
⇒ 26 = 2x – 4
⇒ 2x = 26 + 4
⇒ 2x = 30
⇒ x = 15
Thus, median is 15.