Answer Happy

II. SHORT ANSWERS 1) The following figure summarizes the relation between the mean, median, and distribution shape. Answer the questions that follow, Median Mean Median Mean Mean = Median (a) Skewed Left (b) Symmetric (c) Skewed Right Mean < Median Mean = Median Mean > Median i. Why is the mean pulled to the left in skewed left distribution as displayed on Panel (a)? (Points: 15) ii. Why is the mean pulled to the right in a skewed right distribution as displayed on Panel (c)? (Points: 15) iii. What is the definition of the mode? (Points: 10) iv. Where will the mode lie in Panel (a)? (Points: 10) 7

v. Where will the mode lie in Panel (b)? (Points: 10) vi. Where will the mode lie in Panel (c)? (Points: 10) 2) Explain the difference between measures of central tendency and measures of dispersion. (Points: 15) 3) Explain the difference between the Empirical Rule and Chebychev's Inequality? (Points: 15)