Variance = 0 means they are all the same. So the question is simplified to: what 5 identical values have a mean of 20. Since they are identical, their mean value is the same as themselves. So the answer, trivially, is [20, 20, 20, 20, 20].
The error, which can be measured in a number of different ways. Error, percentage error, mean absolute deviation, standardised error, standard deviation, variance are some measures that can be used.
Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.
1. Find the mean (average) of each set. 2. Subtract each value from its set mean. 3. Square each difference. 4. Add the squared values for each set. The sum of the squared differences for each set is that set's variance. If you want to find standard deviation (a much more useful number in most cases), divide the variance by the number of values in the set minus 1 (n-1), and then take the square root of the result.
There would be a difference to the median. The old number wouldn't be the median but the mode wouldn't change. If the outlier is a high value, it will cause the mean value to shift to the higher side, while a low valued outlier will drop the mean value to a lower number.
Will gve the mean average of the data
variance
First, we compute the variance by taking the sum of squares and divide that by N which is the number of data points in the same. It is average squared deviation of each number from its mean. The point is a squared number is always positive and N is always positive so the variance must always be non-negative. ( It can be 0). The variance is a measure of the dispersion of a set of data points around their mean value. It would not make sense for it to be negative.
A variance is a statistical measure that quantifies the spread or dispersion of data points in a dataset. It indicates how much each data point differs from the mean of the dataset. A higher variance value suggests a wider spread of data points, while a lower variance value indicates a more clustered data distribution.
The range, median, mean, variance, standard deviation, absolute deviation, skewness, kurtosis, percentiles, quartiles, inter-quartile range - take your pick. It would have been simpler to ask which value IS in the data set!
Variance is the squared deviation from the mean. (X bar - X data)^2
The variance is 13.5833
Yes.
Some formulas statisticians may use are population mean, sample mean, variance, and standard deviation. They may also use linear regression line and standard error equations. Another can be the mean value of a data set, where one adds all data points given in a set and divides this number by the number of data points in the set.
Mean = 2. Variance = 1.
Standard deviation is the variance from the mean of the data.
Since Variance is the average of the squared distanced from the mean, Variance must be a non negative number.
Variance is a measure of "relative to the mean, how far away does the other data fall" - it is a measure of dispersion. A high variance would indicate that your data is very much spread out over a large area (random), whereas a low variance would indicate that all your data is very similar.Standard deviation (the square root of the variance) is a measure of "on average, how far away does the data fall from the mean". It can be interpreted in a similar way to the variance, but since it is square rooted, it is less susceptible to outliers.