Question

Find x if the median of the observations are 6 , 8 , 9 , 15 , x , x+2 , 21 , 22 , 25 , 29 is 17. *​

Answer 1

The value of x is 15

Solution:

Given that,

Data set: 6 , 8 , 9 , 15 , x , 29 , 25 , 21 , 22

Median = 8

The data set has an odd number of observations

Thus, the median is given as:

Median = (\frac{x + 1}{2})^{th}\ observationMedian=(

2

x+1

​

)

th

observation

Therefore,

{x+1}{2}\\\\x+1=16\\\\x = 16-1\\\\x = 15\end{gathered}

8=

2

x+1

​

x+1=16

x=16−1

x=15

​

Thus the value of x is 15

Learn more:

The median of the given data 6,8,9,15,x,29,25,21,22 is 8 find the value of x.

Find the median of the given data if the mean is 4.5.

5,7,7,8,x,5,4,3,1,2.

I hope this is helpful ❤️