Data quality controls in information systems: A self-check digit (for example, the last digit in codes like UPC or ISBN) is primarily useful for detecting which kinds of common input or recording errors?

Difficulty: Easy

Correct Answer: All of the above

Explanation:


Introduction / Context:
A self-check digit is an extra digit appended to an identifier (such as a product code, customer number, or account ID) that is computed from the other digits using a known rule. Its purpose is to help detect common data-entry and recording mistakes before they propagate into downstream processing, billing, or reporting.


Given Data / Assumptions:

  • The code contains a calculated check digit (e.g., modulo-based or weighted-sum methods).
  • Typical human errors include transcription (wrong digit keyed), transposition (adjacent digits swapped), and some random mistakes.
  • The verification compares a freshly computed check digit with the stored one.


Concept / Approach:
Check-digit schemes compute a function f(d1, d2, ..., dn) that yields the final digit cd. At validation time, the system recomputes cd and compares it with the entered check digit. If they differ, the code is flagged as invalid. Well-known examples include UPC/EAN (mod 10 with weights), ISBN-10 (mod 11), and Luhn (mod 10). These methods are particularly effective at catching single-digit errors and many adjacent swaps; they also catch a portion of more random mistakes, though not all possible multi-error combinations.


Step-by-Step Solution:

Assume a code with digits d1..dn and check digit cd = f(d1..dn). On entry, recompute c' = f(d1..dn) from the typed digits. Compare c' with cd; if unequal, raise an error or request re-entry. Because f is sensitive to many single-digit and swapped-digit mistakes, these errors are detected with high probability.


Verification / Alternative check:
Empirical analyses of Luhn and mod 11 schemes show near-total detection of single-digit errors and strong detection of adjacent transpositions, validating their practical usefulness for routine data-entry control.


Why Other Options Are Wrong:

  • Transcription only / Transposition only / Random only: Too narrow; real-world check digits detect more than a single error class.
  • None: Incorrect because check digits do detect many common errors.


Common Pitfalls:
Assuming check digits catch all possible multi-error scenarios; relying on them alone without format and range checks; mis-implementing the weighting or modulus rule.


Final Answer:
All of the above

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