Question

For an un grouped data10,15,20,25,15,x median and made are equal. Findx and alsomean for above data

Answer 1

mode and median is 22.5

mean is 17.91

Answer 2

For an ungrouped data of N numbers median is calculated by arranging the number in increasing order and then the middle term gives the median in case when N is odd and the mean of (N/2)th and (N/2 +1)th when N is even.
Mode is number which appears the most number of times.
In the above question median and mode are equal 
arranging in increasing order leaving x
10,15,15,20,25
it can be clearly seen that 15 comes in the middle and occurs most n.o of times so the value of x is 15 as it will occur 3 times (the most) and is the 3rd and 4th term
so x=15
Now to calculate mean
Mean = [(10+15+15+15+20+25)/6] = 16.667 

Answer: x=15, mean=16.67