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6 numbers added and divided by 6 = 9, 6 x 9 = 54 so the sum of the numbers must be 54.

The most frequently occurring number is 7, which means it appears more than once.

There is a difference of 4 between the largest and smallest numbers.

6 x 7 = 42 so there must be numbers larger than 7. 6 x 8 = 48 so there must also be numbers larger than 8. 6 x 9 = 54, however if 7 is the modal number there must be numbers larger than 9.

If 7 is the smallest number, the largest is 11, 7+7+8+9+10+11=52, this is 2 less that the total we need of 54.

7+7+7+11+11+11 = 54, however this is not right because 7 isn't the modal number.

This should point you in the right direction, just need to play with the numbers to make them fit now!

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