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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

Solution:

Total observations=10 (even)
Median = \frac{10}{2} = 5th and \frac{10}{2} + 1 = 6th observations
Median = \frac{5th + 6th observations}{2}
63 = \frac{x + x + 2}{2}
\implies 126 = 2x + 2
\implies 124 = 2x
\implies x = 62