Question

median of x,x/2,x/3,x/4,x/5(x>0) is 8 then find x​

Answer 1

Answer:

x = 24

Note:

★ Median : It is the measure of the observation that lies in the middle when all the observations are arranged in ascending order or descending order.

★ If the number of observations is odd , then there will be only one observation in the middle and that middle most observation is considered to be the median.

★ If the number of observations is even , then there will be two observations in middle and the average of those two middle observations is considered to be the median.

Solution:

Here,

The given observations are :

x , x/2 , x/3 , x/4 , x/5 (x > 0)

Clearly ,

The observation is already in descending order.

Also,

The number of observations is odd , thus there will be only one observation in the middle.

Here,

The middle most observation is x/3 .

Also,

It is given that , the median of the observations is 8.

Thus,

=> x/3 = 8

=> x = 8×3

=> x = 24

Hence,

The required value of x is 24 .