Question

The wickets taken by a bowler in 10 cricket matches are as follows 2,6,4,6,1,x,1,3,2,3 and mode of the data is 2. Then mean is _____

Answer 1

2 6 4 6 1 x 1 3 2 3 
mode is 2
it means that x is 2 because for any number to be the mode it should have highest frequency. If mode is 2 then it needs to be more than all number when x is 2, 2 has frequency 3 so it has more frequency than others which have frequency 2 or 1
Now as x=2, the data is 
2 6 4 6 1 2 1 3 2 3
mean = sum of observations / no. of observations
2+6+4+6+1+2+1+3+2+3/10
=30/10=3
the mean of the data is 3

Answer 2

mode is 2
and 2,3,6,1 have same figures
so x =2
then mean = sum of observations/total observations
2+6+4+6+1+2+1+3+2+3/10
30/10= 3