If the median the data is 47-5.

The following observations have been arranged in ascending order. If the median the data is 47-5, find the value of x.
17, 21, 23, 29, 39, 40, x, 50, 51, 54, 59, 67, 91, 93

Solution:

17, 21, 23, 29, 39, 40, x, 50, 51, 54, 59, 67, 91, 93
Here, n = 14 which is even
As the given data is arranged in descending order
Median = ½ [(14/2)^th term + (14/2 + 1)^th term]
= ½ (7^th term + 8^th term)
⇒ 47.5 = ½ (x + 50)
95 = x + 50
x = 95 – 50 = 45
Therefore, the value of x is 45.

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