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Home  >  Transactions of NAMP VOL.12

10. VISUALIZATION OF SOME ABSTRACT CONCEPTS IN STATISTICS by S. A. Ibrahim and Y. S. Gorah Volume 12, (July – Sept., 2020 Issue)
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VISUALIZATION OF SOME ABSTRACT CONCEPTS IN STATISTICS 

S. A. Ibrahim and Y. S. Gorah

Department of Physical Sciences, Al-Hikmah University, Ilorin, Nigeria

Abstract

In this study, visualization of some important abstract concepts in statistics were studied through simulation for three different probability distributions. The abstract concepts understudied includes: sampling distribution of means, normal curve, central limit theorem, standard deviation and standard error. Data used was generated through R statistical software. The results showed that sample means, for each sample, were not very spread out but random for each distribution. All were in a neighborhood of the true population mean. 

Standard error of means decreases as the sample size n increases. Finally, the shape of sampling distributions of means is approximately normal regardless of the shape of the parent population (normal or non-normal). As a result of this, statistical procedure based on normal distribution theory is used to compute confidence interval for population mean, μ.

Keywords: Sampling Distribution of Mean, standard error, Normal Curve, Probability Distribution

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