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What is the intuitive interpretation of the standard deviation?
My intuition is that the standard deviation is: a measure of spread of the data. You have a good point that whether it is wide, or tight depends on what our underlying assumption is for the distribution of the data.
What is the expected value and standard deviation?
The expected value, or mean, of a discrete random variable predicts the long-term results of a statistical experiment that has been repeated many times. The standard deviation of a probability distribution is used to measure the variability of possible outcomes.
What does expected value tell us statistics?
The expected value (EV) is an anticipated value for an investment at some point in the future. In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values.
What is considered a high standard deviation?
For an approximate answer, please estimate your coefficient of variation (CV=standard deviation / mean). As a rule of thumb, a CV >= 1 indicates a relatively high variation, while a CV < 1 can be considered low. A “good” SD depends if you expect your distribution to be centered or spread out around the mean.
How is the standard deviation of a sample estimated?
SEM is usually estimated by the sample estimate of the population standard deviation (sample standard deviation) divided by the square root of the sample size (assuming statistical independence of the values in the sample): s s is the sample standard deviation (i.e., the sample-based estimate of the standard deviation of the population), and
What is the intuition behind the standard deviation?
Intuition behind standard deviation. From what I understand it is representative of the average of the differences of a set of observations in a data set from the mean of that data set. However it is NOT actually equal to the averages of the differences as it gives more weight to observations further from the mean.
What is the expected value of the sample mean?
The expected value of the sample mean is the population mean, and the SE of the sample mean is the SD of the population, divided by the square-root of the sample size .
How is the standard error of a sample estimated?
SEM is usually estimated by the sample estimate of the population standard deviation (sample standard deviation) divided by the square root of the sample size. The standard error and the standard deviation of small samples tend to systematically underestimate the population standard error and deviations.