Set X is defined as {6,12, -4, 0, 7, 9, -1, 2, 5}. If r is the range of set X, and m is the median of the set X, what is the value of r - m ?
To find the range of a set, you need to subtract the minimum value from the maximum value. In this case, the minimum value is -4, and the maximum value is 12. So, the range (r) of the set X is:
r = 12 - (-4)
r = 12 + 4
r = 16
To find the median of a set, you need to arrange the numbers in ascending order first. The set X in ascending order is: {-4, -1, 0, 2, 5, 6, 7, 9, 12}.
Since the total number of values is odd (9 values in this case), the median (m) is the middle value. In this case, the middle value is 5.
So, the value of r - m is:
r - m = 16 - 5
r - m = 11