Mean is the average, sum total divided by total number of data entries.
Standard deviation is the square root of the sum total of the data values divided by the total number of data values.
The standard normal distribution is a distribution that closely resembles a bell curve.
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95 percent of measurements are less than 2 standard deviations away from the mean, assuming a normal distribution.
The probability of the mean plus or minus 1.96 standard deviations is 0. The probability that a continuous distribution takes any particular value is always zero. The probability between the mean plus or minus 1.96 standard deviations is 0.95
2.275 %
Yes. Normal (or Gaussian) distribution are parametric distributions and they are defined by two parameters: the mean and the variance (square of standard deviation). Each pair of these parameters gives rise to a different normal distribution. However, they can all be "re-parametrised" to the standard normal distribution using z-transformations. The standard normal distribution has mean 0 and variance 1.
The mean of a standard normal distribution is 0.