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The mean of the sum of squares (SS) is the variance of a set of scores, and the square root of the variance is its standard deviation. This simple calculator uses the computational formula SS = X2 — ((X)2 / N) — to calculate the sum of squares for a single set of scores.
There are three methods you can use to find the spread in a data set: range, interquartile range, and variance. Range is the difference between the highest and lowest values in a data set. You can find the range by taking the smallest number in the data set and the largest number in the data set and subtracting them.
Three main measures of dispersion for a data set are the range, the variance, and the standard deviation.
The standard deviation is by far the most widely used measure of spread. It takes every score into account, has extremely useful properties when used with a normal distribution, and is tractable mathematically and, therefore, it appears in many formulas in inferential statistics.
A measure of spread, sometimes also called a measure of dispersion, is used to describe the variability in a sample or population. It is usually used in conjunction with a measure of central tendency, such as the mean or median, to provide an overall description of a set of data.
Why is it important to measure the spread of data? A measure of spread gives us an idea of how well the mean, for example, represents the data. If the spread of values in the data set is large, the mean is not as representative of the data as if the spread of data is small.
Measures of spread describe how similar or varied the set of observed values are for a particular variable (data item). Measures of spread include the range, quartiles and the interquartile range, variance and standard deviation.
The spread in data is the measure of how far the numbers in a data set are away from the mean or the median. There are three methods you can use to find the spread in a data set: range, interquartile range, and variance. Range is the difference between the highest and lowest values in a data set.
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