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Hi, I'm stuck on evaluation, average precision, Im struggling to understand how to calaculate them. for example: A query has 6 relevant answers in a collection. In ranked order, the tigerland retrieval system returns the following results: (1) relevant; (2) irrelevant; (3) relevant; (4) relevant; (5) irrelevant; (6) relevant; (7) relevant; (8) relevant; (9) irrelevant; and (10) irrelevant. Calculate the average precision (AP). Answer: (1 + 2/3 + 3/4 + 4/6 + 5/7 + 6/8 ) / 6 Suppose that there is a seventh relevant item, which your system does not find. Does this affect average precision? Answer: Yes – the seventh (missed) item must be counted in the averaging (i.e. the denominator of the fraction becomes 7 instead of 6).
why and how can we get this answer? what are the steps to get the result?