The statistical method used for finding the degree of uncertainty or dispersion of finite set of data is called as population standard deviation, often denoted by the Greek symbol σ, generally used in descriptive statistics which deals with finite number of population elements. The lower dispersion indicates that there is relatively large amount of elements uniformly distributed around the mean and the higher dispersion indicates that there is relatively less amount of elements uniformly distributed around the mean. Standard deviation represents how the elements of frequency distribution are spread around the mean. In the frequency distribution there is difference among the elements. It's an most important & widely used function to measure the dispersion. The mean is the common behavioral characteristics of the data distribution whereas the standard deviation is the square root of variance and playing an important role to characterize the data distribution around the mean to take the scientific assessment in the event of uncertainty and variation. In other words, it defines how the whole elements or members in the sample deviates from its mean in the statistical surveys or experiments. Standard Deviation is a mathematical function or method used in the context of probability & statistics, represents the degree of uncertainty or linear variability from its mean or central location (μ) of data distribution.
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