Answer:
The 3 integers are 5, 6 and 7.
Step-by-step explanation:
The middle number of the list of digits arranged in ascending order is the median so we have the list x 6 y where x and y are the other 2 numbers in the list.
Mean = 6 so :
(x + y + 6) / 3 = 6 (A)
and the range is 2 so:
y - x = 2 (B)
From equation B, y = x + 2, so substituting for y in equation (A):
(x + x + 2 + 6) / 3 = 6
(2x + 8) / 3 = 6
2x + 8 = 18
2x = 10
x = 5.
Therefore y = 5 + 2 = 7.