The points scored in a basketball game by the individual players of two teams, High Rangers and Rising Stars, is recorded during the game. After the game, the manager found that the range for the High Rangers is 20 points and the range for the Rising Stars is 4 points. Which of the following statements is true?
A. The High Rangers scored fewer points than the Rising Stars.
B. The High Rangers scored more points than the Rising Stars.
C. The difference between the maximum and minimum points scored is lower for the High Rangers than the Rising Stars.
D. The difference between the maximum and minimum points scored is higher for the High Rangers than the Rising Stars.
Range = max - min
To determine which statement is true, we need to understand what the "range" is in this context. The range is the difference between the maximum and the minimum values in a data set.
In this case, the range for the High Rangers is 20 points, which means that the highest score minus the lowest score for the High Rangers is 20 points. On the other hand, the range for the Rising Stars is 4 points, indicating that the difference between their highest and lowest scores is 4 points.
Now let's evaluate each statement:
A. The statement "The High Rangers scored fewer points than the Rising Stars" cannot be determined based on the information provided about the ranges. The range only tells us about the difference between the highest and lowest scores, not the actual scores themselves.
B. The statement "The High Rangers scored more points than the Rising Stars" cannot be determined based on the information provided about the ranges. The range only tells us about the difference between the highest and lowest scores, not the actual scores themselves.
C. The statement "The difference between the maximum and minimum points scored is lower for the High Rangers than the Rising Stars" is false. The range for the High Rangers is 20 points, which is higher than the range for the Rising Stars, which is only 4 points.
D. The statement "The difference between the maximum and minimum points scored is higher for the High Rangers than the Rising Stars" is true. As mentioned earlier, the range for the High Rangers is 20 points, which is higher than the 4 points range for the Rising Stars.
Therefore, the correct answer is D. The difference between the maximum and minimum points scored is higher for the High Rangers than the Rising Stars.