The questions 15 through 25 use this table as their basis. Age Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 39 42 57 19 29 31 20 15. Calculate the mean age: _______ 16. What is the range? _____________ 17. What is the variance? _______ 18. What is the standard deviation? ______ 19. What is the median? ________ 20. What age is the modal age? ___________ For the questions 21-25, let's assume that the sample in the table above are normal and representative of the population. Use the values calculated in questions 15-20 to answer the following. 21. Calculate the z-scores for the following ages: a. For someone who is 35 years old, what is their z-score? _________ b. For someone who is 41 years old, what is their z-score? _________ 22. What percentage of people are between 21 years old 37 years age? _______ a. Important note: questions 22-25 are tied to z-scores!! 23. What is the probability that a person's age is above 41 years? _______ 24. What percent of people are younger than 29 years? ______ 25. What percent of people are between 29 and 35 years old? ____