Central Limit Theorem in a Skewed Leptokurtic Distribution

Authors

  • Nor Aishah Ahad
  • Che Rohani Yaacob
  • Abdul Rahman Othman

Keywords:

normal central limit theorem

Abstract

According to the central limit theorem, the distribution of the sample mean is approximately normal if the sample size, n, is sufficiently large, regardless of original data distribution. However there seems to be a difference in opinion on how large n should be. Some books said that n = 25 is sufficient enough while some considered n = 30 to be sufficient. This paper investigates the size of n that would allow us to apply the central limit theorem when samples taken are from a population

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Author Biographies

Nor Aishah Ahad

Universiti Utara Malaysia

Che Rohani Yaacob

Universiti Utara Malaysia

Abdul Rahman Othman

Universiti Sains Malaysia, 3UiTM Pulau Pinang

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Published

2019-01-19

How to Cite

Ahad, N. A., Yaacob, C. R., & Othman, A. R. (2019). Central Limit Theorem in a Skewed Leptokurtic Distribution. Journal of Science and Mathematics Letters, 3(1), 64–71. Retrieved from https://ojs.upsi.edu.my/index.php/JSML/article/view/401

Issue

Vol. 3 No. 1 (2011): Journal of Science and Mathematics

Section

Articles