Solution:
(a) Arranging the numbers in ascending order :
0, 1, 2, 2, 3, 4, 5, 5, 5, 7, 8, 9
Here, n = 12 which is even
Median = ½ ( n/2 th term + ((n/2)+1)th term)
= ½ (12/2 th term + ((12/2)+1)th term)
= ½ (6 th term + (6+1)th term)
= ½ (6 th term + 7th term)
= ½ (4+5)
= 9/2
= 4.5
Hence the median is 4.5.
(b) Arranging the numbers in ascending order :
3, 4, 9, 10, 12, 15, 17, 27, 47, 48, 75, 81
Here, n = 12 which is even
Median = ½ ( n/2 th term + ((n/2)+1)th term)
= ½ (12/2 th term + ((12/2)+1)th term)
= ½ (6 th term + (6+1)th term)
= ½ (6 th term + 7th term)
= ½ (15+17)
= ½ ×32
= 16
Hence the median is 16.