Question

The following observations have been arranged In ascending order if the median of the data is 63 find the value of x

29 ,32,48,50,x,x+2,72,78,84,95.

Answer 1

x +( x+2)/2 =63

2x +2 =126

x=62

as they are even number of observations median will be the average of the mid terms

Answer 2

here n=10 means the number is in even form.

median= 1/2 (n/2 th term+(n/2 +1) th term

1by2 (1/2) 5th + 6th

here median = 63

63=1/2 ( x+x+2)because the 5th and 6th term are x and x+2

63×2=2x+2

2x=126-2

x=124 divided by 2=62

therefore x= 62 àns