Question

If the median of the data 4, 7, x – 1, x – 3, 16, 25, written in ascending order, is 13 then x is equal to ______.

पर्याय

• 13

• 14

• 15

• 16

Answer 1

If the median of the data 4, 7, x – 1, x – 3, 16, 25, written in ascending order, is 13 then x is equal to 15.

Explanation:

Clearly, median of 6 observations

= Mean of 3rd and 4th observations

= `((x - 1) + (x - 3))/2`

= `(2x - 4)/2`

= x – 2

∴ x – 2 = 13 or x = 13 + 2 = 15.