Step 1: Idea:
Use the assumed mean method. It keeps the numbers small and gives the same mean.
Step 2: Choose a guess.
Take the assumed mean as $A=6$. The deviations $x-6$ are $-3, 1, -2, 6, -2, 6$.
Step 3: Add the deviations.
\[ -3+1-2+6-2+6 = 6 \]
Step 4: Correct the guess.
The mean is $A$ plus the average deviation: \[ 6 + \frac{6}{6} = 7 \]
Step 5: Cross-check.
The direct sum is 42 and $42\div 6 = 7$. Both methods agree, so the sample mean, which is the point estimate, equals 7. This is option 2.
Final Answer:
The point estimate is 7.
\[ \boxed{7} \]