Question

The median of the following observations arranged in ascending order is 64. Find the value of x:

27, 31, 46, 52, x, x + 4, 71, 79, 85, 90

विकल्प

• 60

• 61

• 62

• 66

Answer 1

62

Explanation:

In the given data number of terms are = 10 ...(Even)

Then, median = `(n/2 "th term" + (n/2 + 1)^"th" "term")/2`

But given medium = `(5^"th" "term" + 6^"th" "term")/2`

= `(x + x + 4)/2`

= `(2x + 4)/2`

= x + 2

But given median = 64

On comparing,

∴ x + 2 = 64

`\implies` x = 62