Question

Find the median of 34, 32, x, x-1, 19, 15, 11 where x is the mean of 10, 20, 30, 40, 50. Write in every step.

Answer 1

First 
Lets Clear Basic Concepts
Mean = Sum of total Obs/No.Of Obs
If N is Even
Median = N/2 th obs + (N/2) + 1 th obs
If N is Odd
Median = (N + 1)/2 obs

Mean(x) = 10+20+30+40+50/5
X = 150/5
X = 30

So Arrayed Data = 34,32,30,29,19,15,11 [Note:We Have To Set Values In Ascending Order Or Descending Order.Since It Is Already In Descending Order There Is No Need Of Any Changes]

N=7
So,
Median = (N+1) /2 th obs
Median = (7+1) / 2 th obs
Median = 8/2 th obs
Median = 4th obs[i.e 29(check the Arrayed Data)]
Therefore,
Median = 29
And
Mean = 30

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Answer 2

mean = sum of observation / no. of .observation
           = 10+20+30+40+50 / 5
           =  150 / 5  = 30
median = 34 , 32 , x=30, x-1 = 29, 19, 15, 11
in ascending order
    Nos. are :-   11, 15, 19, 29, 30, 32, 34
(easiest method ) 
the middle no. is  29
so, the median = 29
 
using formula method ( N+1) / 2 th ino.
ie (7+1) / 2 = 4 th no. 
4th no is 29
So, the median = 29