Solution:

Arranging the data in the ascending order

1,2,2,3,4,5,5,6,7,7,8

Here number of terms, n = 11

Here n is odd.

So median = [(n+1)/2 ]^th observation

= (11+1)/2

= 12/2

= 6^th observation

Here 6^th observation is 5.

Hence the median is 5.