Explanation:

- The average of 11 results is 182, which means the total of these results is \(11 \times 182 = 2002\).

- The average of the first 6 results is 199, so their sum is \(6 \times 199 = 1194\).

- The average of the last 6 results is 161, so their total is \(6 \times 161 = 966\).

- Since the 6th result overlaps in both the first and last 6 results, it is counted twice in these sums.

- Therefore, the equation becomes: \(1194 + 966 - 6x = 2002\).

- Simplifying: \(2160 - 6x = 2002\).

- Now, solving for \(x\):

- \(6x = 2160 - 2002\)

- \(6x = 158\)

- \(x = 158/6 = 158\).

- After matching with the options, the correct answer is Option 3: 158.