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

It can be observed that the total number of observations in the given data is 10 (even number). Therefore, the median of this data will be the mean of 10/2 i.e., 5^th and (10/2)+1 i.e., 6^th observation.

`"Therefore median of data "="fifth observation + sixth observation"/2`

`rArr63=(x+x+2)/2`

`rArr63=(2x+2)/2`

`rArr63=x+1`

⇒ x = 62