4.-a) Write five numbers such that the mean is 6 and Q1 = 2. Answer: 4.-b) A certain technology-based mutual funds reports a rate of return of 12.4%, while the mean rate of return for comparable funds is = 7.8% and standard deviation = 2.1%. Calculate the z-score for this particular mutual fund. Is it unusual? Answer: Z-score = Is it unusual? YES NO because _________________ 5.- Unions and employers of a corporation sign a 3-year salary agreement. In the first year, employees' salaries increase by 6%, in the second year by 4%, and in the third year by 1.5%. a) Determine the arithmetic mean or average salary increase. Answer: b) Calculate the Geometric Mean X G for these data using this formula: X G = [(1 0.06)*(1 0.04)*(1 0.015) 1/3 - 1