a) What is an “arithmetic mean” ? Does it have the same meaning as the word “average”? Explain

b) The average of a data set is influenced by extreme values while the median is not. In other words, the median is not resistant to outliers but the average is. True or False. Discuss and offer examples

b) The range is the most obvious measure of variability or how spread out are the values in a data set but it is not the best measure compared to standard deviation. True or False. Discuss

c) Interpret the meaning of “standard deviation” if the standard deviation of a set of numbers is 2 and the arithmetic mean is 3. Hint: That is, apply the empirical rule