Everyone is familiar with the concept of ranking words according to their frequency of use. When you do so, it’s no surprise that ‘nice’ gets used more frequently than ‘splendid’ for example. However, almost every language – from English to Mandarin to Ancient Greek– follows a curious mathematical pattern known as Zipf’s Law, which governs the relationship between word frequencies.
What is it exactly?
According to Zipf’s Law, the most frequent word in a language is used approximately twice as much as the second, three times as much as the third, four times as much as the fourth & so on. If you want to get technical, Wikipedia describes it thus, ‘when a list of measured values is sorted in decreasing order, the value of the n th entry is often approximately inversely proportional to n.’ This pattern transcends individual languages, genres, & even historical texts like Romeo & Juliet or the Mahabharata.
Why does this happen?
The linguist George Zipf, after who the eponymous law is named, believed it reflects a balance: speakers minimize effort with common words, while listeners rely on rarer words for clarity. Though, in the interests of full disclosure, no one really knows.
Zipf extended his observations to include the relationship between a word’s frequency of use and its length. This is sometimes referred to as Zipf’s Law of Brevity. Zipf proposed that frequently used words tend to be shorter in length, while less frequently used words are generally longer. He attributed this to the principle of least effort: speakers aim to minimize the effort of communication by favouring shorter words for frequently used concepts.
For example, common words like and, is, and the are shorter, whereas rarer words like procrastination or multifaceted tend to be longer. This relationship supports the idea that linguistic systems evolve to balance efficiency for speakers with clarity for listeners.
Recent studies provide fascinating examples of this law at work both in human communication & beyond:
Animal Communication: Research on African penguins revealed that their “words” (syllables in their songs) follow Zipf’s Law. Frequently used sounds are shorter, echoing patterns seen in human languages. Similarly, recent research on gibbons vocalizations align with these patterns, indicating that Zipf’s Law could be a universal feature of systems balancing variety & simplicity. Such findings suggest Zipf’s principles extend to animal communication systems as they too are governed by pressures for efficiency in communication.
Programming Languages: Even artificial systems like Python & JavaScript demonstrate Zipf-like patterns, where frequently used keywords dominate, hinting at universal principles of information compression.
So there you go. Zipf’s Law also holds true for a whole bunch of seemingly unrelated phenomena such as city populations, biological systems, death rates in war & many more. Zipf’s Law reminds us that even amongst the seemingly chaotic, an underlying order is at work.
Teacher Takeaways?:
Refer to Frequency: About 90% of spoken English relies on 1,000 high-frequency words. Consider referring to how [in]frequently a word is used when teaching it. Learners might welcome the info. The Word Count website is a handy way to do this.
Explore Patterns: Encourage learners to analyse texts for word frequencies, showing how this “hidden order” manifests in authentic language.
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