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Is variance square of standard deviation?
Yes, the variance of a data set is the square of the standard deviation (sigma) of the set. This means that the variance is always a positive number, even though the data might have a negative sigma value.
Can the variance be a negative number?
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.
Which value is NOT always a number in the data set it represents?
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!
Given that the variance for a data set is 1.20 what is the standard deviation?
1.10
Show how the data set as a whole is spread around the mean?
I think the answer is variance
