15.What is the TF-IDF score of a term that appears 10 times in a document of 100 words, and appears in 20 out of a total of 100 documents? A. 0.5 B. 1 C. 1.5 D. 2
Question
15.What is the TF-IDF score of a term that appears 10 times in a document of 100 words, and appears in 20 out of a total of 100 documents? A. 0.5 B. 1 C. 1.5 D. 2
Solution
To calculate the TF-IDF score, we need to calculate two things: Term Frequency (TF) and 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 10 times in a document of 100 words. So, TF = 10 / 100 = 0.1
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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, the term appears in 20 out of a total of 100 documents. So, IDF = log(100 / 20) = log(5) = 0.69897 (approx)
Finally, the TF-IDF score is the product of TF and IDF. So, TF-IDF = 0.1 * 0.69897 = 0.069897 (approx)
So, none of the options A, B, C, D are correct. The TF-IDF score is approximately 0.07.
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