Standard deviation is how much a group deviates from the whole. In order to calculate standard deviation, you must know the mean.
You cannot; there is insufficient information.
It depends on the data. The standard deviation takes account of each value, therefore it is necessary to know the values to find the sd.
The idea is to know how much the values "spread out" from the average.
the mean and the standard deviation
Standard deviation is how much a group deviates from the whole. In order to calculate standard deviation, you must know the mean.
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No. Well not exactly. The square of the standard deviation of a sample, when squared (s2) is an unbiased estimate of the variance of the population. I would not call it crude, but just an estimate. An estimate is an approximate value of the parameter of the population you would like to know (estimand) which in this case is the variance.
The mean and standard deviation do not, by themselves, provide enough information to calculate probability. You also need to know the distribution of the variable in question.
You cannot; there is insufficient information.
You calculate the standard error using the data.
"Variance" and "Standard deviation" are numbers that describe a set of data that typically contains several numbers. Applied to a single number, neither of them has any meaning. -- The variance, standard deviation, and mean squared error of 7 are all zero. -- The mean, median, mode, average, max, min, RMS, and absolute value of 7 are all 7 . None of these facts tells you a thing about ' 7 ' that you didn't already know as soon as you found out that it was ' 7 '.
The standard deviation is a measure of the spread of data.
You also know that x is 1.036 times the standard deviation of the variable above its mean. Anything more than that would require further information about the mean and/or the variance of the variable.
A negative Z-Score corresponds to a negative standard deviation, i.e. an observation that is less than the mean, when the standard deviation is normalized so that the standard deviation is zero when the mean is zero.
The standard deviation of a distribution is the average spread from the mean (average). If I told you I had a distribution of data with average 10000 and standard deviation 10, you'd know that most of the data is close to the middle. If I told you I had a distrubtion of data with average 10000 and standard deviation 3000, you'd know that the data in this distribution is much more spread out. dhaussling@gmail.com
If it is possible to assume normality, simply convert the desired score to a z-score, and look up the probability for that.