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Q: When does the formula for square root of pq divided by n apply to the standard deviation of p?
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Why is standard deviation of a statistic called standard error?

The standard error is the standard deviation divided by the square root of the sample size.


What is the standard error if the population standard deviation is 100 and the sample size is 25?

Formula for standard error (SEM) is standard deviation divided by the square root of the sample size, or s/sqrt(n). SEM = 100/sqrt25 = 100/5 = 20.


Why does the formula for standard deviation have a square root in it?

The formula for standard deviation has both a square (which is a power of 2) and a square-root (a power of 1/2). Both must be there to balance each other, to keep the standard deviation value's magnitude similar to (having the same units as) the sample numbers from which it's calculated. If either is removed from the formula, the resulting standard deviation value will have different units, reducing its usefulness as a meaningful statistic.


What is the square of the standard deviation called?

The square of the standard deviation is called the variance. That is because the standard deviation is defined as the square root of the variance.


What is the relationship between standard deviation and variance?

Standard deviation is the square root of the variance.


How the formula of z obtained?

The formula for Z obtained is zobt equals the average of the sample (Xbar)minus the average of the population (u), divided b the standard deviation of the sample (s), divided be the square root of N. Example: Zobt= X-u ,divided by s ,divided by ,square root of N


What is the standard normal deviation?

The standard deviation of a normal deviation is the square root of the mean, also the square root of the variance.


Can standard deviation assume a negative value?

No. It is defined to be the positive square root of ((the sum squared deviation divided by (the number of observations less one))


How do you convert variance of 10.8 square inches into standard deviation?

Standard deviation = square root of variance.


Can standard deviation be larger then its variance?

No. The standard deviation is the square root of the variance.


How do you calculate variance given standard deviation?

Square the standard deviation and you will have the variance.


What is the value of the standard error of the sample mean?

The sample standard deviation (s) divided by the square root of the number of observations in the sample (n).