1 Which of the following is NOT affected b outliers in a data set? A) Mean C) Range B) Mode D) Standard deviation 2 The following scatter plot represents a two-variable statistical distribution. Which of the following statements about this distribution is true? A) The linear correlation is weak, and the two variables var in the same direction. B) The linear correlation is weak, and the two variables var in opposite directions. C) The linear correlation is strong, and the two variables var in the same direction. D) The linear correlation is strong, and the two variables var in opposite directions. Consider the scatter plot shown here. Which of the following best describes its correlation coefficient? A) Positive and strong C) Negative and strong B) Positive and weak D) Negative and weak
4 The following are correlation coefficients: 0.2, 0.92, 0.85, 0.45 Which best represents these correlation coefficients arranged from strongest degree of correlation to weakest? A) 0.92, 0.45, 0.2, 0.85 C) 0.92, 0.85, 0.45, 0.2 B) 0.85, 0.2, 0.45, 0.92 D) 0.2, 0.45, 0.85, 0.92 5 Phsics students conducted an eperiment to determine the relationship between the velocit (v) of a free-falling object and the time (t) elapsed since its release. v The scatter plot of the eperimental data obtained is illustrated here. Which one of the following values is the best approimation of the correlation coefficient between these two variables? t A) 0.9 C) 0.1 B) -0.9 D) -0.1 6 Given this scatter plot: Which of the following equations most resembles the equation of the regression line? 4 5 A) = - 2 2 + 27 C) = + 27 B) = - 2 2 + 41 D) = + 41
7 A biologist collected 20 samples of a variet of fl and recorded the wing span of the flies in centimetres. The wing spans are recorded in the list below. 1.60 1.65 1.71 1.80 1.82 1.85 1.92 1.97 2.1 2.15 2.29 2.42 2.47 2.47 2.55 2.61 2.68 2.76 2.89 2.91 Calculate the mean deviation and standard deviation for this data. 8 The table below shows the ages of the 0 students in a school's computer club and the number of times each student used the computer room during a school week. Number of times each student used the computer room 0 1 2 4 5 Total Age 1 0 0 0 0 1 2 Age 14 0 0 0 2 4 1 7 Age 15 0 1 1 5 2 0 9 Age 16 0 2 4 0 0 9 Age 17 1 1 0 0 0 0 2 Total 1 4 5 10 7 0 Identif the linear correlation between the ages of these 0 students and the number of times each student used the computer room b darkening the appropriate bo. The linear correlation between these variables is negative or positive. The linear correlation between these variable is weak or strong. 9 The chart below shows the value of the Canadian dollar in US dollars since 1972. 1972 1977 1982 1987 1992 1997 2002 $1.01 $0.94 $0.81 $0.75 $0.82 $0.72 $0.64 Use our knowledge of statistics to prove that the data above cannot be used to project the long-term future value of the Canadian dollar in terms of its US counterpart.
10 The manager of a clothing boutique recorded last June=s sales in a chart. What is the standard deviation and mean deviation of this distribution? Garment Price June Sales Quantit Sold 19 11 22 8 6 4 9 40 12 45 11 49 4 60 11 In 1996, a stud was conducted on the relationship between the annual parolls of major league baseball teams and the number of wins each recorded in a given season. The number of wins for the teams with the nine highest parolls is listed in the table below. Teams Paroll (in millions of $) Number of wins New York Yankees 61 92 Baltimore Orioles 55 88 Atlanta Braves 5 96 Cleveland Indians 47 99 Chicago White So 44 85 Cincinnati Reds 4 81 Seattle Mariners 4 85 Teas Rangers 41 90 Colorado Rockies 40 8 How man games could a team with a paroll of 0 million dollars epect to win?
12 A teacher gave the same tests to two groups of 0 students. The mean of group 01 was 70 % and the standard deviation was 15. The adjacent chart shows the results obtained b group 02. The mean was also 70 %. B calculating the standard deviation of group 02, determine which group is more homogeneous (consistent). GROUP 02 Marks Frequenc 10 1 20 1 0 1 40 1 50 1 60 5 70 7 80 5 90 4 100 4 1 The life epectanc of males has changed greatl during the last centur. The table below summarizes these changes. Year of birth 1920 1925 190 195 1940 1945 1950 1955 1960 1965 1970 1975 1980 1985 1990 Male life epectanc 54 56 58 59 61 6 66 67 67 67 68 69 70 71 72 Using our knowledge of statistics, etrapolate the ear in which males will first epect to live to 100 ears of age.
14 Match each scatter plot on the left with its correlation coefficient on the right. Scatter Plot a) b) Correlation Coefficient 1-0.9 0.7-0.5 0 c) d) 15 A high school phsics class investigated the relationship between the force applied to a spring and the etension in the length of the spring. The table displas some of the results produced b the students. One of the students in the class predicted the spring would have an etension of approimatel 15.54 cm if a force of 6.25 N would be applied to the spring. Is this prediction consistent with the data collected b the rest of the class? Justif our answer using appropriate statistical analsis. Force (N) Etension (cm) 2.5 5.4 2.75 6.8.0 7.5.25 8.2.50 8.4.75 8.5 4.0 10.2 4.25 10.24
16 In the 1984 Olmpic games, the 10 best jumps, measured in centimetres in the Men's and Women's High Jump, were as follows: Men's High Jump (cm) 29 27 Women's High Jump (cm) 207 205 A debate ensued between the male athlete who jumped the highest and the female athlete who jumped the highest. 27 26 202 200 The male athlete with the highest jump said to the female winner of the event, "I am the better athlete because I jumped higher than ou did." 24 24 200 199 She replied, "You ma have jumped higher but I can prove to ou that I am the better athlete." Using our knowledge of statistics, how would ou prove that she was right? 2 198 2 198 2 197 2 197 17 The following table lists some male gold medal pole vaulting performances at the Olmpic Games since 1896. Because of World Olmpic Year Vault Height (m) War II, no Olmpic games were held in 1940. 1896.0 Use our knowledge of statistics to determine the height that the gold medalist likel would have vaulted had the Olmpics been held in 1940. 1904 1912.50.95 1924 192 1948 1956 1964 1972 1980 1988 1996 2004 2008.95 4.1 4.0 4.56 5.10 5.50 5.78 5.90 5.92 5.95 5.96