Question

4. The median of the given data.
6, 8, 9, 15, x, x+1, 21, 22, 25, 29 is 17.5. Find the
value of x.​

Answer 1

Answer:

X = 17 , X +1= 18

Step-by-step explanation:

Assuming data in assending order

There are even numbers of frequency therefore

Total no of frequency =10

Meadian = [10/2th+(10/2+1)th term]/2

i.e 10/2th term = x

(10/2)+1 th term =x+1

Median= (x+x+1)/2

17.5= (2x+1)/2

17.5×2=2x+1

35=2x+1

34=2x

x=34/2

X=17

Answer 2

Step-by-step explanation:

write the given data in ascending order

6, 8, 9, 15, x, x+1, 21, 22, 25, 29

median = x(x+1)/2

17.5 = 2x+1/2

17.5×2 =2x+1

35.0 = 2x+1

35= 2x+1

2x=35-1

2x=34

x=34/2

x=17