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