The median and mode are equal for this set of seven whole numbers: {1, 3, 4, 5,

6, 11, x}. The mean is also one of the six known members of the set. What is the
value of x?

The sum of all the values without x is 30.

Now, there are 7 total numbers. What x value would make this set be divisible by 7, while also being part of this number set?
The answer is 5.
30+5 = 35
35/5 = 7
1,3,4,5,5,6,11 - 5 is the median and the mode.