Question

The observation of a data are x/2, x/5, x/3, x/4.x. where x >0 if the median of the
data is 8. Find the value of x.
​

Answer 1

Step-by-step explanation:

Arranging the data in ascending order

x/5, x/4, x/3, x/2, x

median is the value at middle term

=x/3 =8

x = 24

Answer 2

The value of the 'x' is 24

Given:

The observations of the data are x/2, x/5, x/3, x/4, x    

The median of the data is 8

To find:

Find the value of x.

​

Solution:

Formula used:

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

Where 'n' is an odd number

   

From the data, observations are x/2, x/5, x/3, x/4, x    

Since the value of 'x' will be the same for all

The ascending order of the observations is x/5, x/4, x/3, x/2, x

Here the number of observations is 5 is an odd number

Hence, the Median of the data = [5 + 1]/2 th term

= 3rd term of the data = x/3

From the given data median = 8

=> x/3 = 8

=> x = 8(3)

=> x = 24

Therefore,

The value of the 'x' is 24

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