Question

the following data have been aranged in ascending order. if their median is 63 find value of x. 34,37,53,55,x,x+2,77,83,89and100​

Answer 1

The value of x is 62

Explanation:

Given data is:

34,37,53,55,x,x+2,77,83,89and100​

As the number of values is 10 (which is even number of values) i.e. n=10

The median will be the average of two middle values.

`M = (1)/(2)((n)/(2)th\ value + (n+2)/(2)th\ value})\\M = (1)/(2)((10)/(2)th\ value + (10+2)/(2)th\ value})\\M = (1)/(2)(5th\ value + 6th\ value})\\`

As it is already given that the median is 63

Putting M=63

`63 = (1)/(2)(x+x+2)\\126 = 2x+2\\126-2 = 2x\\124 = 2x\\(2x)/(2) = (124)/(2)\\x = 62`

Hence,

The value of x is 62