Question

The median of observations 10, 11, 13, 17, x + 5, 20, 22, 24 and 53 (arranged in ascending order) is 18; find the value of x.

Answer 1

Total number of observations = 9(odd)
Now, if n = odd
Median = `(( n + 1)/2)^"th"  "term"`

⇒ Median = `(( 9 + 1)/2)^"th" "term"` = 5^th term = x + 5

Now, Median = 18    ...(given)
∴ x + 5 = 18
⇒ x = 13.