Question

Find the Median of the following data:

10, 12, 15, 18, 22, 26, 32, 34​

Answer 1

Answer:

Ans

Step-by-step explanation:

25,34,31,23,22,26,35,29,20,32

No' of observations (n) =10

first of all we arrange the observations in an ascending order

20,22,23,25,26,29,31,32,34,35

Here observe that No' of observations (n) is even so

Median is average of  

2

n

​

 th term and (  

2

n

​

+1) th term

Median =  

2

2

n

​

th term+(  

2

n

​

+1)th term

​

 

             =  

2

2

10

​

th term+(  

2

10

​

+1)th term

​

 

              =  

2

5th term+6th term

​

 

              =  

2

26+29

​

 

              =  

2

55

​

 

              Median = 27.5

Answer 2

Answer:

20

Step-by-step explanation:

MEDIAN IS      $\frac{n+1}{2}$   'th item

here n=8

IN THE CASE OF 'N' IS A EVEN NUMBER WE HAVE TO ARRANGE THE GIVE DATAS IN ASSENDING ORDER AND FIND THE SIMPLE AVERAGE OF THESE MIDDLE VALUES

IN THE CASE OF ODD NUMBER OF OBSERVATIONS MEDIAN IS

$\frac{n+1}{2}$   'th item

10, 12, 15, 18, 22, 26, 32, 34​

ASSENDING ORDER 10,12,15,18,22,26,32,34

= $\frac{18+22}{2}\\\\\frac{40}{2}\\\\20$