The observations 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?

Since there are 10 observations, that is, even number of observations, median is found by taking average of and observations.

So, median is found at average of and observations.


(5)th observation = x and (6)th observation = x + 2


Taking average,


Median = (x + x + 2)/2


63 = (2x + 2)/2 [ given is median = 63]


126 = 2x + 2


2x = 126 – 2


2x = 124


x = 124/2 = 62


x = 62


11