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Q: Would combining the class results give a smaller deviation from the expected?
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What does a negative deviation mean?

A negative deviation means that the observation is smaller than whatever it is that the deviation is being measured from.


What does a standard deviation of 0 tell you?

The smaller the standard deviation, the closer together the data is. A standard deviation of 0 tells you that every number is the same.


Sample standard deviation?

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.


Is standard deviation always smaller than mean?

No.


Why does the standard deviation get smaller as the individual in a group score more similarly on a test?

Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller.


What is the relationship between standard deviation and precision?

The more precise a result, the smaller will be the standard deviation of the data the result is based upon.


How do you calculate mean and Median smaller then Standard deviation?

In the same way that you calculate mean and median that are greater than the standard deviation!


The law of large numbers affects sampling procedure how?

Statistical concept that larger the sample population (or the number of observations) used in a test, the more accurate the predictions of the behavior of that sample, and smaller the expected deviation in comparisons of outcomes.


Is the range in distribution ever smaller than standard deviation in a distribution?

No.


What is an acceptable standard deviation?

An acceptable standard deviation depends entirely on the study and person asking for the study. The smaller the standard deviation, the more acceptable it will be because the less likely there are to be errors.


Why is the standard error a smaller numerical value compared to the standard deviation?

Let sigma = standard deviation. Standard error (of the sample mean) = sigma / square root of (n), where n is the sample size. Since you are dividing the standard deviation by a positive number greater than 1, the standard error is always smaller than the standard deviation.


What is the relationship between the relative size of the starndard deviation and the kurtosis of a distribution?

It is inversely proportional; a larger standard deviation produces a small kurtosis (smaller peak, more spread out data) and a smaller standard deviation produces a larger kurtosis (larger peak, data more centrally located).