To find the standard deviation, you must first compute the mean for the data set.
So the answer is yes. Just have a look at the 5 steps needed to compute a standard deviation and you will see why the answer is yes.
In reality, people most often use calculators or computers to do this.
However, it is good to understand what they are doing.
1. Compute the deviation by subtracting the mean from each value.
2. Square each individual deviation.
3. Add up the squared deviations.
4. Divide by one less than the sample size.
5. Take the square root
In general the mean of a truly random sample is not dependent on the size of a sample. By inference, then, so is the variance and the standard deviation.
Standard deviation is the variance from the mean of the data.
The mean is the average value and the standard deviation is the variation from the mean value.
no the standard deviation is not equal to mean of absolute distance from the mean
Standard deviation is how much a group deviates from the whole. In order to calculate standard deviation, you must know the mean.
Yes. Consider the definition of the standard deviation. It is the square root of the variance from the mean. As a result, it can be said that the standard deviation is dependent on the mean.
Information is not sufficient to find mean deviation and standard deviation.
In general the mean of a truly random sample is not dependent on the size of a sample. By inference, then, so is the variance and the standard deviation.
Mean 0, standard deviation 1.
Mean = 0 Standard Deviation = 1
No. Variance and standard deviation are dependent on, but calculated irrespective of the data. You do, of course, have to have some variation, otherwise, the variance and standard deviation will be zero.
Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.
Mean and standard deviation are not related in any way.
Standard deviation can be greater than the mean.
Standard deviation is the variance from the mean of the data.
Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.
No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.