CD Page view A BACKGROUND TUKS Almost all the questions in this paper are based on teams OF and athletes from TuksSport. Where necessary, pseudonym names are used to protect the identity of individuals. NIKS Questions 1 to 7 are based on the following information: The bar chart below summarizes the number of goals scored in each of the 30 Premier Soccer League (PSL) games in the 2012/2013 season in which AmaTuks played: Bar chart of the number of goals scored 10 6 5 5 Frequency ( number of games) 3 1 O 2 3 5 6 Number of goals Question 1 (1) The measurement scale for the number of goals scored in a game is: (A) interval (B) nominal (C) normal (D) ordinal (E ratio STKI10 EXAM / EKSAMEN 2013-06-10 O HiCD Page view Question 2 (1) The mode is: (A) 1 (B) 2 )6 (D) 9 (E 1 and 5 Question 3 (2) The mean number of goals scored per game is: (A) 0.5 (B) 2.1 (C) 3.0 (D) 4.3 (E) 5.0 Question 4 (2) The percentage of games in which at least one goal was scored is: (A) 6 (B) 20 (C) 24 (D) 30 (E) 80 Question 5 (2) The thirtieth percentile for the number of goals scored, P30 , is: (A) (B) 2 (C) 5 (D) 9 (E) 30 Question 6 (1) Let x be the number of goals scored in a randomly selected game. The distribution of x is: (A) binomial (B) discrete (C) normal (D) standard normal (E) uniform STKI10 EXAM / EKSAMEN 2013-06-10 O m+ |CD Page view A Question 7 (1) Suppose the maximum number of goals scored was 16 and not 6. Which one of the following is a measure of location that will be affected by this outlier? (A) mean (B) median (C mode (D) range (E) variance Questions 8 to 10 are based on the following information: The following contingency table summarizes the results for AmaTuks for their 30 PSL games: Won Drawn Lost Home game 3 8 4 Away game 5 8 2 One of the 30 games is randomly selected. Consider 3 events: F = AmaTuks won the game. G = AmaTuks drew the game. H = AmaTuks played at home. Question 8 (1) What is the probability that AmaTuks played at home and won the game? (A) 0.1 (B) 0.2 (C) 0.27 (D) 0.375 (E) 0.5 Question 9 (2) Given that the game was a home game for AmaTuks, what is the probability that they won the game? (A) 0.1 (B) 0.2 (C) 0.27 (D) 0.375 (E) 0.5 STKI10 EXAM / EKSAMEN 2013-06-10LO Page view 11 Question 10 (2) Why are events G and H independent from each other? (A) P(G) = P(GIH) )P(H) = P(GIH) C) P(G) # P(GIH) ) P(H) # P(H IG) (E) P(G) = P(H IG) Questions 11 and 12 are based on the following information: The following frequency distribution represents the number of runs scored by the Tuks 1" cricket team in 25 randomly selected innings: Runs scored Class midpoint Frequency 100-149 124.5 N 150-199 174.5 200-249 224.5 13 250-299 274.5 Given: X = 224.5 Question 11 (3) The approximate variance of the runs scored is: (A) 42.4 (B) 43.3 (C) 625 (D) 1 800 (E) 1 875 Question 12 (2) In 20% of the 25 innings, the Tuks 1" cricket team scored at most & runs. The value of k is: ) 20 (B) 25 (C) 199 (D) 174.5 (E) 224.5 STK110 EXAM / EKSAMEN 2013-06-10 e