Solution:
We arrange given data in ascending order 1, 2, 3, 3, 3, 4, 5, 5, 6, 7
Mean = Ʃxi/n
= (1+2+3+3+3+4+5+5+6+7)/10
= 39/10
= 3.9
Here number of observations, n = 10 which is even.
So median = ½ ( n/2 th term + ((n/2)+1)th term)
= ½ (10/2 th term + ((10/2)+1)th term)
= ½ (5 th term + (5+1)th term)
= ½ (5 th term + 6th term)
= ½ (3+4)
= ½ ×7
= 3.5
Hence the median is 3.5.
In the given set, 3 occurs maximum number of times.
Hence the mode is 3.