# Mean Reciprocal Rank (MRR) Measure

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A Mean Reciprocal Rank (MRR) Measure is a ranking performance measure based on the average of the reciprocal ranks for list results.

## References

### 2016

• (Wikipedia, 2016) ⇒ https://en.wikipedia.org/wiki/mean_reciprocal_rank Retrieved:2016-5-18.
• The mean reciprocal rank is a statistic measure for evaluating any process that produces a list of possible responses to a sample of queries, ordered by probability of correctness. The reciprocal rank of a query response is the multiplicative inverse of the rank of the first correct answer. The mean reciprocal rank is the average of the reciprocal ranks of results for a sample of queries Q:  : $\text{MRR} = \frac{1}{|Q|} \sum_{i=1}^{|Q|} \frac{1}{\text{rank}_i}. \!$ where $\text{rank}_i$ refers to the rank position of the first relevant document for the i-th query.

The reciprocal value of the mean reciprocal rank corresponds to the harmonic mean of the ranks.