if the median of 46,64,88,40,x,76,35,91,56,30 and 91 is 58, find the value of x

Answer :

We have : The median of 46 , 64 , 88 , 40 , x , 76 , 35 , 91 , 56 , 30 and 91 is 58 .

We know if data is in odd number ( 11 )  , So middle term is median for that data , So

We arrange data in ascending order , we get

30  ,  25 ,  40  ,  46  , 56  ,  x  , 64  , 76   ,  88 ,  91 , 91  We place x in middle as there is no " 58 " in given data

So,

Median =  x

So,

x =  58                                ( Ans )