You didn't exactly answer my questions.
The average of the four values is 9.7875
I'm guessing that your formulas are on Sheet2.
I'm guessing that your second formula gives 9.71.
That is the result when B12, B13 and B14 are blank on sheet 2.
If you put the values from Sheet1 B12 thru B14 into Sheet2 B12 thru B14 you should get the same answer.
In other words, by using
=AVERAGE(Sheet1!$B$11,$B$12,$B$13,$B$14)
only B11 is taken from Sheet1, the others are taken from the active sheet, which I am guessing is Sheet2.
Does that clear it up?