Answer :
Final answer:
The correct value of x is 14 because in an ordered list of seven numbers, where the median is 13, the number preceding the median must be x-1, which equals 13 in this scenario.
Explanation:
If the median of the data 4, 7, x-1, x-3, 16, 25, written in ascending order, is 13, then we need to find the value of x. In a set of seven numbers, the median will be the fourth number when arranged in ascending order. For the set to be in ascending order given that the median is 13, x-3 and x-1 must be less than 13. This puts our ordered list as 4, 7, x-3, x-1, 13, 16, 25, where 13 is the median. Thus x-1 must equal 13, giving us a value of x as 14. So, the correct answer is (b) 14.
