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 5^{th} and 6^{th} terms.

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

Therefore,

But median = 63 (Given)

Therefore,

x + 1 = 63

x = 63 – 1 = 62

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