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

The given data arranged in ascending order is as

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


There are 10 terms.


So, there are two middle terms that are:


The


That is the 5th and 6th terms.


Hence, the median is the mean of the values of the 5th and 6th terms.


Therefore,



But median = 63 (Given)


Therefore,


x + 1 = 63


x = 63 – 1 = 62


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