The true / real standard deviation ("the mean deviation from the mean so to say") which is present in the population (everyone / everything you want to describe when you draw conclusions)
The standard deviation of the population. the standard deviation of the population.
Yes
No.
The population standard deviation is equal to the standard deviation of the sampling distribution of the sample mean, which is also known as the standard error. The standard error is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n), expressed as σ/√n. This relationship demonstrates how the variability of sample means decreases as the sample size increases.
Standard deviation in statistics refers to how much deviation there is from the average or mean value. Sample deviation refers to the data that was collected from a smaller pool than the population.
The standard deviation of the population. the standard deviation of the population.
Yes
No.
The standard deviation if the data is a sample from a population is 7.7115; if it is the population the standard deviation is 7.0396.
the sample standard deviation
The standard deviation of height in the US population is approximately 3 inches.
Yes.
If the population standard deviation is sigma, then the estimate for the sample standard error for a sample of size n, is s = sigma*sqrt[n/(n-1)]
If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.
Not a lot. After all, the sample sd is an estimate for the population sd.
It can be.
If repeated samples are taken from a population, then they will not have the same mean each time. The mean itself will have some distribution. This will have the same mean as the population mean and the standard deviation of this statistic is the standard deviation of the mean.