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
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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.