false
They would both increase.
Yes.
The standard deviation of the population. the standard deviation of the population.
Generally not without further reason. Extreme values are often called outliers. Eliminating unusually high values will lower the standard deviation. You may want to calculate standard deviations with and without the extreme values to identify their impact on calculations. See related link for additional discussion.
false
They would both increase.
Strictly speaking, none. A quartile deviation is a quick and easy method to get a measure of the spread which takes account of only some of the data. The standard deviation is a detailed measure which uses all the data. Also, because the standard deviation uses all the observations it can be unduly influenced by any outliers in the data. On the other hand, because the quartile deviation ignores the smallest 25% and the largest 25% of of the observations, there are no outliers.
The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.
Yes.
The standard deviation is the standard deviation! Its calculation requires no assumption.
The standard deviation of the population. the standard deviation of the population.
Generally not without further reason. Extreme values are often called outliers. Eliminating unusually high values will lower the standard deviation. You may want to calculate standard deviations with and without the extreme values to identify their impact on calculations. See related link for additional discussion.
The standard deviation is 0.
Information is not sufficient to find mean deviation and standard deviation.
Standard deviation is the square root of the variance.
The standard deviation in a standard normal distribution is 1.