A new retrieval algorithm is being evaluated using a test database, constructed for that purpose. A single search (search ‘A’) of the database retrieved a total of 6,400 documents, of which 1,129 pertain to the topic being studied. Several additional searches on the topic of interest were also conducted and these additional searches plus search ‘A’ retrieved a total of 7,395 distinct documents, of which 1,488 pertained to the topic of interest. The person who constructed the database tells you that there are a total of 10,500 documents in the database, of which 1,750 are pertinent to the topic of your search.
Calculate the relative recall of search ‘A’

From the information that are provided in the question, the relative recall of search A will be calculated as the relative documents of search A divided by the total relevant documents of all searches. This will be:

Relative recall of search A = Relative documents of search A ÷ The total relevant documents of all searches

Relative recall of search A = 1129/1488

Relative recall of search A = 0.7587

Therefore, the relative recall of search A is 0.7587.