Consider a term that appears 15 times in a document of 500 words. In a collection of 1000 documents, this term appears in 200 documents. What is the TF-IDF score for this term?Answer choicesSelect only one optionREVISIT0.10.02090.20.209
Question
Consider a term that appears 15 times in a document of 500 words. In a collection of 1000 documents, this term appears in 200 documents. What is the TF-IDF score for this term?Answer choicesSelect only one optionREVISIT0.10.02090.20.209
Solution
To calculate the TF-IDF score, we first need to calculate the Term Frequency (TF) and the Inverse Document Frequency (IDF).
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Term Frequency (TF) is the number of times a word appears in a document divided by the total number of words in the document. In this case, the term appears 15 times in a document of 500 words. So, TF = 15 / 500 = 0.03.
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Inverse Document Frequency (IDF) is the log of the number of documents divided by the number of documents that contain the word. In this case, there are 1000 documents and the term appears in 200 documents. So, IDF = log(1000 / 200) = log(5) = 0.699.
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Finally, the TF-IDF score is the product of TF and IDF. So, TF-IDF = 0.03 * 0.699 = 0.02097.
So, the closest answer to the TF-IDF score in the options provided is 0.0209.
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