Question

if the median of x,x/3,x/4,3x/8,x/5 is 4 find the value of x​

Answer 1

The value of x = 12

Given:

The median of x,x/3,x/4,3x/8,x/5 is 4  

To find:

Find the value of x​

Solution:

 

Formula used:

Median of data when the number of observations is an odd number is  

           Median = [(n+1)/2]th term of the data

Median of data when the number of observations is even number is

      Median = [ (n/2)th term +(n/2 +1)th term ]/2  

Given data = x, x/3, x/4, 3x/8, x/5 is 4    

Arrange the given data in ascending order  

=> x/5, x/4, x/3, 3x/8, x  

Here number of observations = 5

Median of data =  [(5+1)/2]th = 3th term

=> Median of data = x/3

From the given data, median = 4

=> x/3 = 4

=> x = 12  

Therefore,

The value of x = 12

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