Central limit theorem is a fundamental theorem of probability and this theorem states that the distribution of the sum of a larger number of independent and equally distributed variables will be approximately normal, irrespective of the fundamental distribution.
Find out the standard deviation, if the sample size, population mean and standard deviation are 30,25,50
Sample Size (n) = 30 Population mean (μ) = 25 Population standard deviation (σ) = 50
Substitute the given values in the Sample mean formula,
Sample mean ( μx ) = μ = 25
Sample standard deviation
Substitute the given values in the standard deviation formula,
Sample standard deviation ( σx ) = σ / √ n =50 / √ 30 = 50 / 5.47 = 9.13