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Is the standard deviation best thought of as the distance from the mean?
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.
The standard deviation of the distribution of means is also known as the population standard deviation?
Yes.
What is the difference between standard error of mean and standard deviation of means?
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.
What are the characteristics of standard deviation?
There are a few characteristics of standard deviation. Standard deviation means that something is predictably doing something other than what it typically does. One characteristic is that it is frequent.
When do you use the relative standard deviation instead of standard deviation?
Use %RSD when comparing the deviation for popolations with different means. Use SD to compare data with the same mean.
What a large standard deviation means?
A large standard deviation means that the data were spread out. It is relative whether or not you consider a standard deviation to be "large" or not, but a larger standard deviation always means that the data is more spread out than a smaller one. For example, if the mean was 60, and the standard deviation was 1, then this is a small standard deviation. The data is not spread out and a score of 74 or 43 would be highly unlikely, almost impossible. However, if the mean was 60 and the standard deviation was 20, then this would be a large standard deviation. The data is spread out more and a score of 74 or 43 wouldn't be odd or unusual at all.
If the standard deviation is small the data is more dispersed?
No, if the standard deviation is small the data is less dispersed.
Is the standard deviation best thought of as the distance from the mean?
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.
What does it means if the standard deviation is large?
that you have a large variance in the population and/or your sample size is too small
The standard deviation of the distribution of means is also known as the population standard deviation?
Yes.
What is the difference between standard error of mean and standard deviation of means?
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.
What does standard deviation show us about a set of scores?
Standard Deviation tells you how spread out the set of scores are with respects to the mean. It measures the variability of the data. A small standard deviation implies that the data is close to the mean/average (+ or - a small range); the larger the standard deviation the more dispersed the data is from the mean.
What are the characteristics of standard deviation?
There are a few characteristics of standard deviation. Standard deviation means that something is predictably doing something other than what it typically does. One characteristic is that it is frequent.
Where the standard deviation is not applicable?
When the sample size is small
Why variance is bigger than standard deviation?
The variance is standard deviation squared, or, in other terms, the standard deviation is the square root of the variance. In many cases, this means that the variance is bigger than the standard deviation - but not always, it depends on the specific values.
When do you use the relative standard deviation instead of standard deviation?
Use %RSD when comparing the deviation for popolations with different means. Use SD to compare data with the same mean.
What would it mean if a standard deviation was calculated to equal 0?
A standard deviation of zero means that all the data points are the same value.
