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The variance formula lets us measure this spread from the mean of the random variable. Understand the variance formula with examples and FAQs. Learn how to calculate the variance of a dataset using different formulas for ungrouped and grouped data. The variance measures the spread or dispersion of the data around the mean value. Variance and standard deviation measure how much data deviates from the mean. Variance gives the average squared deviation, while standard deviation (the square root of variance ) expresses the spread in the same unit as the data. The different formulas for Variance and Standard Deviation are highly used in mathematics to determine the trends of various values in mathematics. Variance is the measure of how the data points vary according to the mean, while standard deviation is the measure of the central tendency of the distribution of the data.