Find x if the mean of the number 13,2x,0,5x and 11 is 9. Also find the range of the set of number

1 answer

First, let's find the mean:

(13 + 2x + 0 + 5x + 11) / 5 = 9
(24 + 7x) / 5 = 9
24 + 7x = 45
7x = 21
x = 3

Now that we have found x, we can substitute it back into the set of numbers to find the mean:
Mean = (13 + 2(3) + 0 + 5(3) + 11) / 5
Mean = (13 + 6 + 0 + 15 + 11) / 5
Mean = 45 / 5
Mean = 9

Now, let's find the range of the set of numbers:
Range = Maximum value - Minimum value
Range = 13 - 0
Range = 13

Therefore, x = 3 and the range of the set of numbers is 13.