Cindy K. answered • 05/05/19
Top 1% Tutor: Patient & Experienced Guide for Adult Learners
The central limit theorem states that if we take many random and sufficiently large samples from a population and plot the mean of each sample, the resulting plot will be normally distributed (i.e, bell curve shaped) and centered at the population average, regardless of the shape of the distribution of the underlying population.
This is a fundamental concept that forms the basis of many statistical practices. In reality, we don't usually take a bunch of samples. Instead, we take a single sample and extract as much insight as we can, applying what we know about how samples relate to a population via concepts such as the central limit theorem.
