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

Total number of observation in the given data is 10 (even number). So median of this data
will be mean of `10/5 i.e , 5^(th) and 10 /2 + 1  i.e,6^(th) observation`

So, median of data  = `(5^(th) observation +6^(th) observation)/2`

⇒ `63 = (x +x+2)/2`

⇒  `63 =(2x +2)/2`

⇒   63 = x +1

⇒    x = 62