If a word occurs 4 times in a document containing 100 words, its term frequency is

(i) 0.004
(ii) 0.4
(iii) 0.04
(iv) 4

Question

If a word occurs 4 times in a document containing 100 words, its term frequency is

(i) 0.004
(ii) 0.4
(iii) 0.04
(iv) 4

Accepted Answer

### Solution

**Correct Answer: (iii) 0.04**

#### Explanation
**Term frequency (TF)** = (number of times the term occurs in the document) / (total number of words in the document)

TF = 4 / 100 = **0.04**

TF is the first part of the TF-IDF weight used in text mining: TF-IDF = TF x log(N / df).

#### Why other options are incorrect:
- **(i) 0.004** = 4/1000, **(ii) 0.4** = 4/10, **(iv) 4** is the raw count, not the frequency ratio.

> **Answer: (iii) 0.04**

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