The standard deviation is a popular measure of variability. The standard deviation is the square root of the variance.
The population deviation is denoted by . It is given by the formula:
The capital Greek letter sigma is commonly used in mathematics to represent a summation of all the numbers in a grouping.
N is the number of terms in the population.
The sample standard deviation is denoted by s. It is given by the formula
Like the variance, the standard deviation utilizes the sum of the squared deviations about the mean. It is computed by averaging these squared deviations and taking the square root of that average. One feature of the standard deviation that distinguishes it from a variance is that the standard deviation is expressed in the same unit as the raw data, whereas, the variance is expressed in those units squared.The following video will give:
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.