In Assignment A, three well-supported indications fall within 1.5% of each other and the reconciled figure is $487,350. In Assignment B, the data are thin, the indications spread 15% apart, and the reconciled figure is $512,740. Which rounding treatment is best supported?
Correct Answer
A) Round B more coarsely than A, because less confidence supports less stated precision.
Rounding should reflect the degree of precision associated with the value estimate: the more confidence the appraiser has in its accuracy, the less rounding is needed. Assignment A has tight, well-supported indications, while Assignment B rests on thin data and wide divergence, so B warrants coarser rounding. Using one increment for both, rounding A more coarsely, or reporting B unrounded would each misstate the precision of the evidence.
Why This Is the Correct Answer
Option A is correct because rounding should reflect the precision the evidence supports. Assignment B's thin data and 15% spread give less confidence in its accuracy, so it should be rounded more coarsely than Assignment A, whose indications agree within 1.5%.
Why the Other Options Are Wrong
Option B: Round both to the same increment, so that the two reports remain consistent.
Option B rounds both to the same increment for consistency. Rounding should reflect each conclusion's own precision, and the two assignments differ greatly in the confidence their evidence supports.
Option C: Round A more coarsely than B, because close agreement makes precision unnecessary.
Option C rounds A more coarsely because close agreement makes precision unnecessary. That reverses the principle: greater confidence means less need for rounding, so A can be stated more precisely than B.
Option D: Report B unrounded, so that readers can see the detail behind the analysis.
Option D reports B unrounded to show the detail of the analysis. A dollar-level figure would imply a precision that thin, divergent data cannot support.
Less certain, rounder number
Confidence earns precision. The shakier the evidence, the coarser the rounding should be.
How to use: Use this when a question compares how precisely two value conclusions should be stated.
Exam Tip
Tie rounding to confidence: stronger, tighter evidence supports a more precise figure, and weaker evidence supports a rounder one.
Common Mistakes to Avoid
- -Applying one rounding increment to every assignment regardless of support
- -Reporting an unrounded figure that implies false precision
- -Rounding more coarsely when confidence is higher
Concept Deep Dive
Analysis
The question asks the candidate to link rounding to confidence across two assignments. First judge which conclusion is more reliable from the agreement and support of the indications; then apply the principle that less confidence calls for coarser rounding. Assignment B is the less reliable conclusion, so it should be stated with less precision.
Background Knowledge
A final value estimate is usually rounded to reflect market standards and the precision of the analysis. The degree of rounding tracks the appraiser's confidence in the estimate. Unnecessary precision can mislead readers about how reliable a conclusion is.
Real-World Application
An appraiser values a tract home with many recent sales and states the value to the nearest thousand dollars. For a unique rural property with few sales and divergent indications, the same appraiser rounds to a coarser increment and explains the limited data.
More Reconciliation Questions
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