The standard deviation is a measure of how far away from the mean each observation deviates from the mean.
What is the standard deviation?
- The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
- While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
- Standard deviation is most usually denoted in mathematical literature and equations by the lowercase Greek letter (sigma), which stands for the population standard deviation, or by the Latin sign s, which stands for the sample standard deviation. The abbreviation for
- standard deviation
- is SD.
- The mean and standard deviation of a normal distribution are both zero.
The mean would be 5 x 0 + 8 = 8.
The standard deviation would be 5 x 1 = 5.
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