(1+2+3+4+5+6+7+8+9+10+11+12)/13 = 6
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168!
The sum of the numbers divided by the number of numbers.
If, by two straight lines, you mean two diameters, the answer is No, you cannot. Two diameters will divide the clock face into four parts. The sum of the numbers, 1 to 12, is 78 which is not divisible by 4. A diameter from between 9 and 10 (to between 3 and 4) will divide the clock face into halves, and the numbers in each half add to 39. Unfortunately, that is only one line, and not two as required.
Mean
Arrange the numbers in order of size (increasing or decreasing). The median of all eight is the mean of the fourth and fifth. The mean of the two numbers is their sum divided by two.