Question

The following data have been arranged in ascending order of their values 19,20,36,46,50,x-2,x+4,59,70,80,83,88.if median is 57 find x

Answer 1

Hi Friend !!!


Here is your answer,,,

Lets find out the value of x

The number of observations = 12 ( its even)

The the median will be the average of n/2th term and n/2 +1 term

n/2 = 12/2 = 6th observation = x-2

n/2 + 1 = 6+1 = 7 th observation = x+4

Average of x-2 and x+4 is median

x-2+x+4 /2 = 57

2x+2 = 57×2

2(x+1) = 57×2

x+1 = 57×2/2

x+1 = 57

x = 57-1

x = 56


Hope it helps u dear....

(-:

Answer 2

Answer:

Step-by-step explanation:

The number of observations = 12 ( its even)

The the median will be the average of n/2th term and n/2 +1 term

n/2 = 12/2 = 6th observation = x-2

n/2 + 1 = 6+1 = 7 th observation = x+4

Average of x-2 and x+4 is median

x-2+x+4 /2 = 57

2x+2 = 57×2

2(x+1) = 57×2

x+1 = 57×2/2

x+1 = 57

x = 57-1

x = 56