#### 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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