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you calculate it by using a supercomputer that has over 100 petabytes of data it is a search engine it searches throughout the world looking for information it calculates it in the so called brain of the computer which is a mother board and hardware wall linked to the main computer than calculates sample data to answer a question that once never had an answer to it. So that means that it brings the closest correct information that it can find throughout the web and makes the no answered question answerable and thats how it calculates the variance of sample data.

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Anonymous

4y ago

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If the variance of the data values in a sample is 169 what is the standard deviation of the data values?

For a sample, the SD is 13.53, approx.


If the variance of the data values in a sample is 121 what is the standard deviation of the data values?

11


What is the relationship between standard deviation and variance for the same sample data?

The standard deviation is the square root of the variance.


What is the variance with sample data set 9 14 19 16 8 6 17 11 18?

The variance of this data set is 22.611


What is the proof of sample variance and how is it derived?

The proof of sample variance involves calculating the sum of squared differences between each data point and the sample mean, dividing by the number of data points minus one, and taking the square root. This formula is derived from the definition of variance as the average of the squared differences from the mean.


Is the standrad deviation of the data values in a sample is 17 what is the variance of the data values?

is the standrad deviation of the data values in a sample is 17 what is the variance of the data values


How many cases are needed for analysis of variance?

There only needs to be one data point to calculate variance.


What is the proof that the sample variance is an unbiased estimator?

The proof that the sample variance is an unbiased estimator involves showing that, on average, the sample variance accurately estimates the true variance of the population from which the sample was drawn. This is achieved by demonstrating that the expected value of the sample variance equals the population variance, making it an unbiased estimator.


How do you calculate salary variance?

I believe you are interested in calculating the variance from a set of data related to salaries. Variance = square of the standard deviation, where: s= square root[sum (xi- mean)2/(n-1)] where mean of the set is the sum of all data divided by the number in the sample. X of i is a single data point (single salary). If instead of a sample of data, you have the entire population of size N, substitute N for n-1 in the above equation. You may find more information on the interpretation of variance, by searching wikipedia under variance and standard deviation. I note that an advantage of using the standard deviation rather than variance, is because the standard deviation will be in the same units as the mean.


Why is standard deviation a better measure of dispersion than variance?

Because it is in same units as the original data. For example, if you have a sample of lengths, all in centimetres, the sample variance will be in units of centrimetres2 which might be more difficult to interpret but the sample standard deviation with be in units of centimetres, which would be relatively easy to intepret with reference to the data.


Show that in simple random sampling the sample variance is an unbiased estimator of population variance?

It is a biased estimator. S.R.S leads to a biased sample variance but i.i.d random sampling leads to a unbiased sample variance.


Is there a proof that demonstrates the unbiasedness of the sample variance?

Yes, there is a mathematical proof that demonstrates the unbiasedness of the sample variance. This proof shows that the expected value of the sample variance is equal to the population variance, making it an unbiased estimator.