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Author: [Your Name/Institution] Date: October 26, 2023 Abstract This study analyzes a random sample of 10,000 English words to determine fundamental statistical properties, including length distribution, character frequency, syllable count, and part-of-speech diversity. Using a pseudorandom selection from a standardized word list, we find that the average English word length is approximately 9.3 characters, with a strong left-skewed distribution toward shorter words. Vowels (particularly ‘e’) dominate character frequency, while function words (e.g., ‘the’, ‘of’, ‘and’) appear less frequently than expected due to the random sampling method. The results provide a baseline for understanding English lexical structure without corpus-based frequency biases. 1. Introduction Understanding the structure of English vocabulary is essential for natural language processing (NLP), lexicography, and psycholinguistics. While previous studies have focused on word frequency in corpora (e.g., the British National Corpus), less attention has been paid to the properties of the lexicon itself — the set of all possible words — independent of usage.
The distribution is positively skewed (skewness = 1.24), with 65% of words between 5 and 11 characters. | Rank | Letter | Count | Frequency (%) | |------|--------|-------|----------------| | 1 | e | 11,420 | 12.22% | | 2 | a | 6,851 | 7.33% | | 3 | i | 6,401 | 6.85% | | 4 | o | 6,024 | 6.45% | | 5 | r | 5,937 | 6.35% | 10000 random words
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