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First, you need to determine the mean. The mean of a list of numbers is the sum of those numbers divided by the quantity of items in the list (read: add all the numbers up and divide by how many there are). Then, subtract the mean from every number to get the list of deviations. Create a list of these numbers. It's OK to get negative numbers here. Next, square the resulting list of numbers (read: multiply them with themselves). Add up all of the resulting squares to get their total sum. Divide your result by one less than the number of items in the list. To get the standard deviation, just take the square root of the resulting number Example: your list of numbers: 1, 3, 4, 6, 9, 19 mean: (1+3+4+6+9+19) / 6 = 42 / 6 = 7 list of deviations: -6, -4, -3, -1, 2, 12 squares of deviations: 36, 16, 9, 1, 4, 144 sum of deviations: 36+16+9+1+4+144 = 210 divided by one less than the number of items in the list: 210 / 5 = 42 square root of this number: square root (42) = about 6.48

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Q: How do you calculate the standard deviation of the mean?
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Related questions

Why we calculate standard deviation and quartile deviation?

we calculate standard deviation to find the avg of the difference of all values from mean.,


How do you calculate mean and Median smaller then Standard deviation?

In the same way that you calculate mean and median that are greater than the standard deviation!


What is the definition of standard deviation?

Standard deviation is how much a group deviates from the whole. In order to calculate standard deviation, you must know the mean.


How do you calculate standard deviation with the help of z-score?

A z-score cannot help calculate standard deviation. In fact the very point of z-scores is to remove any contribution from the mean or standard deviation.


How do you calculate probability given mean and standard deviation?

The mean and standard deviation do not, by themselves, provide enough information to calculate probability. You also need to know the distribution of the variable in question.


How do you calculate the standard deviation of the mean using Excel?

=stdev(...) will return the N-1 weighted sample standard deviation. =stdevp(...) will return the N weighted population standard deviation.


How do you calculate expected variation?

Mean 10.70 Standard Deviation 0.030101868


Why you need sampling distribution?

in order to calculate the mean of the sample's mean and also to calculate the standard deviation of the sample's


How do you calculate standard deviation without a normal distribution?

You calculate standard deviation the same way as always. You find the mean, and then you sum the squares of the deviations of the samples from the means, divide by N-1, and then take the square root. This has nothing to do with whether you have a normal distribution or not. This is how you calculate sample standard deviation, where the mean is determined along with the standard deviation, and the N-1 factor represents the loss of a degree of freedom in doing so. If you knew the mean a priori, you could calculate standard deviation of the sample, and only use N, instead of N-1.


How do you calculate variance given standard deviation?

Square the standard deviation and you will have the variance.


What is the formula for standard deviation?

Standard deviation is a way to describe how the data is distributed around the Arithmatic Mean. It is not a simple formula to calculate, as shown in the links.


How does one calculate the standard error of the sample mean?

Standard error of the sample mean is calculated dividing the the sample estimate of population standard deviation ("sample standard deviation") by the square root of sample size.