Question

The following data is arranged in ascending order 3,6,7,10,x,x+4,19,20,25,28 .if median is 13 find value of x
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Answer 1

Answer:

x = 11

Step-by-step explanation:

Given observations in ascending order,

3, 6, 7, 10, x, x + 4, 19, 20, 25, 28

Here, n = 10 which is even and median = 13

So,

Median = ½ [(10/2)th term + (10/2 + 1)th term]

= ½ (5th term + 6th term)

= ½ (x + x + 4)

= (2x + 4)/2

= x + 2

⇒ x + 2 = 13

x = 13 – 2 = 11

Hence, the value of x is 11.