Question

n a standard golf tournament, golfers play 18 holes of golf on each of 4 consecutive days For each hole, golfers keep track of the number of times they hit the ball (strokes) before the ball goes into the cup. A golfer's score for the tournament is the total number of strokes . The boxplots below summarize the scores for golfers who needed to complete the tournament competed in tournament 1 and golfers who competed in tournament 2. Tournament 2 31 272 276 280 284 288 292 296 300 Score Based on the boxplots, which of the following statements must be true? (A) More golfers played in tournament 1 than in tournament 2. score less (B) In both tournaments, at least half the golfers completed the tournament with a score less (B) In both tournaments, at least half the golfers completed the than 288 (C) The number of golfers who completed tournament I with a score less than 288 was greater han the number of golfers who completed tournament 2 with a score less than (D) The range of scores for tournament I is less than the range of scores for tournament 2 (E) The score of the golfer with the least score in tournament 1 was greater than the score of 288 the golfer with the least score in tournament 2.

Answer 1

Solution-

The only true statement is (B).

(A) is not true Just because one box plot has a longer box than another one doesn’t mean it has more data in it. It just means that the data inside the box (the middle 50% of the data) is more spread out for that group. Each section marked off on a box plot represents 25% of the data; but you don’t know how many values are in each section without knowing the total sample size.

(C) is not true beacuse of the same reason as why (A) is not true.

(D) is not true as range of scores of tournament 1 is more than that of tournament so, (D) is false

(E) reverse of the statement is true as the least scored golfer of tournament had score of 274 while tournament 2 least scored golfer had 277.5 so statement becomes false.

Thanks!