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What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?
2.275 %
What does polydactyly mean?
Polydactylys definition is the condition where a subject retains more than the normal amount of digits. In this case, digits can mean fingers. A child that is polydactyly has more than five fingers of each hand. It is possible for them to have six or more digits. This applies also to having more digits on your toes.
What does the standard deviation of 2.686 means if the Mean is 5.96 and the number is 699?
The observation is more than 250 standard deviations (SD) away from the mean. For a normal distribution, the probability of being more than 3 SD from the mean is 0.0027 so the probability of an observation being 250 SD from the mean is infinitesimally small.
What is the difference between a general normal curve and a standard normal curve?
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
How many outliers can a data set have?
There is no agreed definition of an outlier and consequently, there is no simple answer to the question. The number of outliers will depend on the criterion used to identify them. If you have observations from a normal distribution, you should expect around 1 in 22 observations to be more than 2 standard deviations from the mean, and about 1 in 370 more than 3 sd away. You will have more outliers if the distribution is non-normal - particularly if it is skewed.
