Question

The numbers 12, 14, 22, 26, x, x + 2, 38, 45, 49, 51 are in ascending order. Their median is 34. The value of x is ______.

पर्याय

• 31

• 33

• 34

• 36

Answer 1

The numbers 12, 14, 22, 26, x, x + 2, 38, 45, 49, 51 are in ascending order. Their median is 34. The value of x is 33.

Explanation:

There are 10 numbers, so the median is the average of the 5th and 6th terms.

In ascending order the 5th and 6th terms are x and x + 2.

So, `(x + x + 2)/2 = 34` 

⇒ `(2x + 2)/2 = 34` 

⇒ 2x + 2 = 68 

⇒ 2x = 66

⇒ x = 33