A given data set has a mean mu and a standard deviation sigma.
a) What are the new values of the mean and the standard deviation if the same constant k is added to each data value in the given set? Explain.
b) What are the new values of the mean and the standard deviation if each data value of the set is multiplied by the same constant k? Explain. If the standard deviation of a given data set is equal to zero, what can we say about the data values included in the given data set?