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How many standard deviations is 16.50 from the mean?
How many standard deviations is 16.50 from the mean?
I have two data sets with the same number of values with means x1 and x2 and standard deviations of n1 and n2. How do you average means with standard deviations?
You can't average means with standard deviations. What are you trying to do with the two sets of data?
What does a z-score represent in terms of units?
standard deviations
How many standard deviations are 95 percent of measurements away from the mean?
95 percent of measurements are less than 2 standard deviations away from the mean, assuming a normal distribution.
When computing the sample variance the sum of squared deviations about the mean is used for what reason?
You want some measure of how the observations are spread about the mean. If you used the deviations their sum would be zero which would provide no useful information. You could use absolute deviations instead. The sum of squared deviations turns out to have some useful statistical properties including a relatively simple way of calculating it. For example, the Gaussian (or Normal) distribution is completely defined by its mean and variance.
