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(if this question doesn't fit here, please point me to right direction. Thanks.)

We need to check a sales data S’s accuracy to determine if it can be used in downstream calculations. Currently, it's simply checked against last year's data (if it's below/above certain %). I wanted to include history data(the data before last year) into the play. Below it's what I would like to consider(suppose we use True as accurate thus can be used):

  1. If it’s first time S presented without history data, we say it’s true 100%
  2. If S is within +/- 40% of last year’s data, we say it’s false with 80% chance the conclusion is right
  3. If S is within MIN to MAX range of all history data (excluding last year’s), it’s true with 85% chance of correctness
  4. If 2, and there are 2 too in history, then it’s false with 35% chance of being correct

Assume all history data are accurate and no other facts than history data alone is available.

I’m confused, how can I form a True/False conclusion toward S along with confidence(/chance of correctness) %?

(this is probably the whole picture of the question. No other facts - region, brand,.. available for this data.)

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    The question is confusing, mostly because you seem to assume there's a standard format for presenting this stuff "for audit". To make sure you get a good answer, you should probably rephrase the question in such a way that someone with mathematical background, but no background in sale audits, can understand what's going on. – 2017-01-15
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    Thank you. I have edited the question. – 2017-01-16

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