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In probability theory and statistics, variance is the expected value of the squared deviation from the mean of a random variable How to find it explained with examples. The standard deviation is obtained as the square root of the variance

Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers are spread out from their average value. Learn its symbol, equation, and properties Variance is a statistical measurement of how large of a spread there is within a data set

It measures how far each number in the set is from the mean (average), and thus from every other number.

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. The variance reflects the variability of your dataset by taking the average of squared deviations from the mean. Variance is a measure of variability in statistics It assesses the average squared difference between data values and the mean

Unlike some other statistical measures of variability, it incorporates all data points in its calculations by contrasting each value to the mean. To calculate the variance follow these steps Subtract the mean and square the result (the squared difference) Then calculate the average of those squared differences

(why square?) you and your friends have just measured the heights of your dogs (in millimeters):

The larger the variance, the more spread a set of data is The variance is the square of the standard deviation The units of variance are the square of the units measured in the data set For example, if the data measured is in seconds, then the variance is measured in seconds squared.

The variance (var) tells you how much the results deviate from the expected value If the variance (σ 2) is large, the values scatter around the expected value. Variance is a statistical measurement that is used to determine the spread of numbers in a data set with respect to the average value or the mean The standard deviation squared will give us the variance.

What is variance in statistics

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