Respuesta :
For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the: Sample Variance.
Answer: Sample Variance
For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the sample variance.
What is sample variance?
Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.
Sample Variance Example
Suppose a data set is given as 3, 21, 98, 17, and 9. The mean (29.6) of the data set is determined. The mean is subtracted from each data point and the summation of the square of the resulting values is taken. This gives 6043.2. To get the sample variance, this number is divided by one less than the total number of observations. Thus, the sample variance is 1510.8.
Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.
[tex]S^{2}= \frac{\sum_{i=1}^{n}(x_{i}-\mu )^{2} }{n-1}[/tex]
Hence, For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the sample variance.
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