Question

find the value of x, if the median of the following data arranged in ascending order is 19. 5 .3, 7, 8, 11, 15 ,x ,x + 3, 27, 28 ,39,45,51?​

Answer 1

Answer:

X=18

Step-by-step explanation:

If no.of terms ,n= even

Then, median,= (n/2+n/2+1)/2

In this case n= 12

Therefore

19.5=(6th term + 7th term)/2

39=x+x+3

39=2x+3

36=2x

X=36/2

X=18

Answer 2

Answer:

x=18

Step-by-step explanation:

here n=12

Median(even)=

$(n \div 2)th \: term + (n \div 2) + 1 \:th \: term \div 2$

19.5=(12/2)th term+ (12/2+1)th term/2

19.5=6th term +7th term

19.5=x+x+3

( )/2

( )2

19.5*2=2x+3

39-3=2x

x=18