Which type of error involves incorrect formulas due to choosing the wrong algorithm?

The correct answer is related to logic errors, which occur when the algorithm or formula used to process data does not produce the intended outcome due to flawed reasoning or incorrect methodologies. These errors stem from applying an inappropriate approach or making incorrect assumptions during the problem-solving process.

Logic errors can severely impact the validity of results, particularly in programming and mathematical computations. They often require careful review of the underlying logic and the relationships defined in the algorithm to identify and correct.

The other options refer to different categories of errors. Omission errors relate to missing data or steps that lead to incomplete results. Mechanical errors involve physical issues in hardware or human mistakes during data entry and handling. Quantitative errors arise from inaccuracies in numerical analysis or measurements. Each of these describes distinct issues that do not specifically address the application of incorrect algorithms, which is why logic errors are the most appropriate choice in this context.