Note: Variance uses squared units. Here it is 21,704 mm2. Taking the square root gives Standard Deviation back in millimeters. ... Sample Variance = 108,520 / 4 = 27,130 Sample Standard Deviation = √27,130 = 165 (to the nearest mm)
Statistical tests like variance tests or the analysis of variance (ANOVA) use sample variance to assess group differences. They use the variances of the samples to assess whether the populations they come from differ from each other.
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The other variance is a characteristic of a set of observations. When variance is calculated from observations, those observations are typically measured from a real-world system. If all possible observations of the system are present, then the calculated variance is called the population variance.
Variance measures how far data points are spread out from the mean. A higher variance indicates greater variability and risk, while a lower variance indicates more consistent results.
Variance is defined as the square of the standard deviation, i.e., taking the square of the standard deviation for any group of data gives us the variance of that data set.