Question 1. (3 mario) Read each of the following questions and examples of expected answers. For each of them, determine the nature (qualitative, quantitative discrete or quantitative continuous) and the level of measurement (nominal, ordinal, interval or ratio) of the resulting data. 1) What is your birth year? (Ex.: 1954, 1999, 2003, etc.) Nature Level: 2) What mean of transportation do you use to come to Bishop's? (Ex: bus, car, walk, etc.) Nature Level: 3) How would you rate your Bishop's University experience? (Ex-poor, correct, interesting. wwesome) Nature: Level: Question 1. (10 marks) *) (marks) Complete the following frequency distribution. No justification required. Class Frequency Midpoint Relative Frequency Cumulative Frequency 14.8) 3 6 3 10 0.25 7 [16.20) 18 0.125 16 Total: 16 b) maks) Dew (BY HAND, and with a ruler) the frequency polygon corresponding to the above frequency distribution. No title is required 10 [16. 20) 18 0.125 16 Total: 16 1 1 b) mrk) www (BY HAND, and with a ruler) the frequency polygon coresponding to the above frequency distribution. No title is required 16 14 12 10 B 6 2 2 4 6 8 10 12 14 16 18 20 22 c) (2 marks) How would you qualify the skewness of the distribution? Question 3. (15 marks) The following table shows the number of births and the life expectancy (at birth) of male babies in the province of Qubec from 1990 to 2015 Years Standard 1990 1995 2000 2005 2010 2015 Mean Deviation Number of 50,392 44,699 37.164 39,185 45,270 44,608 43,553 4321.36 births Life expectancy 73.6 74.5 76.2 77.9 79.4 80.1 (in years) Source: Institut de la statistique du Qubec a) (4 marks) Complete the above table by computing the mean and the (population) standard deviation for the life expectancy of male babies bom from 1990 to 2015 b) marku) Use the coefficient of variation to determine which variable (mber of births or life expectancy) ha been more variable from 1990 to 2015 c) (1 mark) What is the score of the member of birth in 1995? d) (4 marks) Consider the number of births from 1990 to 2015. According to Chebyshev's Theorem, what is the minimum proportion of data values that should fall in the range [37.503, 49,603 e) marks) What has been the average sal growth of the life expectancy for the male babies, at birth, from 1990 to 20137 Give your answer in percentage, rounded to 2 decimals Question 1. (3 marks) Read each of the following questions and examples of expected answers. For each of them, determine the nature (qualitative, quantitative discrete or quantitative continuous) and the level of measurement (nominal, ordinal, interval or ratio) of the resulting data. 1) What is your birth year? (Ex.: 1954, 1999, 2003, etc.) Nature: Level: 2) What mean of transportation do you use to come to Bishop's? (Ex.: bus, car, walk, etc.) Nature: Level: 3) How would you rate your Bishop's University experience? (Ex.: poor, correct, interesting, awesome) Nature: Level: Question 2. (10 marks) a) (5 marks) Complete the following frequency distribution. No justification required. Class Frequency Midpoint Relative Frequency Cumulative Frequency [4.8) 3 6 3 10 0.25 7 [16, 20) 18 0.125 16 Total: 16 --- Total: 16 b) (3 marks) Draw (BY HAND, and with a muler) the frequency polygon corresponding to the above frequency distribution. No title is required. 16 14 12 10 8 6 2 8 10 0 12 14 16 18 20 22 c) (2 marks) How would you qualify the skewness of the distribution? Question 3. (15 marks) The following table shows the number of births and the life expectancy (at birth) of male babies in the province of Qubec from 1990 to 2015. Years Standard 1990 1995 2000 2005 2010 2015 Mean Deviation Number of 50,392 44,699 37,164 39,185 45,270 44,608 43,553 births 4321.36 Life expectancy 73.6 74.5 76.2 77.9 79.4 80.1 (in years) Source : Institut de la statistique du Qubec. a) (4 marks) Complete the above table by computing the mean and the population) standard deviation for the life expectancy of male babies bom from 1990 to 2015. b) (3 marks) Use the coefficient of variation to determine which variable (number of births or life expectancy) has been more variable from 1990 to 2015. I c) (1 mark) What is the 2-score of the number of births in 19952 d) (4 marks) Consider the number of births from 1990 to 2015. According to Chebyshev's Theorem. what is the minimum proportion of data values that should fall in the range [37,503; 49,603)? (3 marks) What has been the average annual growth of the life expectancy for the male babies, at birth, from 1990 to 2015? Give your answer in percentage, rounded to 2 decimals. Question 4. (3 marks) Paul invested an amount for five years in a volatile business venture. He earned 40% on his investment during the first year, lost 35% during the second year, earned 10% during the third year, earned 15% during the fourth year, and finally lost 25% during the fifth year. What has been his average annual return? Give your answer in percentage, rounded to I decimal
