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Describe the conditions necessary for a measure of variation to have the value zero?
The measurements for all members of the sample are the same.
What is the median of 1 number only?
Your single number is your only information of the median value of the population, so the median value is the same as your single number. It is also the mode and mean of your sample.
Is sample standard deviation the same as standard deviation?
No, the standard deviation is a measure of the entire population. The sample standard deviation is an unbiased estimator of the population. It is different in notation and is written as 's' as opposed to the greek letter sigma. Mathematically the difference is a factor of n/(n-1) in the variance of the sample. As you can see the value is greater than 1 so it will increase the value you get for your sample mean. Essentially, this covers for the fact that you are unlikely to obtain the full population variation when you sample.
Is it possible for two sample sets to have the same range but different means?
could a sample set have the same range but different means
What is the definition for probability sample?
A probability sample is one in which each member of the population has the same probability of being included. An alternative and equivalent definition is that it is a sample such that the probability of selecting that particular sample is the same for all samples of that size which could be drawn from the population.
