Brad and Tom are comparing their classes' scores on a math test. Both of their classes had mean scores of 80 on the test, but Brad's class had a range of 6 while Tom's class had a range of 30. If the highest possible score was 100, which class had the LOWEST score in it?
Responses
A Brad's class had the lowest score in it.Brad's class had the lowest score in it.
B Tom's class had the lowest score in it.Tom's class had the lowest score in it.
C It cannot be determined from the information.It cannot be determined from the information.
D The lowest score occurred in both classes.
C It cannot be determined from the information.
B
Brads class only had a range of 6 so somewhere between 74 and 83
Tom's class however ranged from about 65 to 95
I'm sorry, but your answer is incorrect. The question is asking for the lowest score in either class, not the range of the scores. It is true that Brad's class had a smaller range than Tom's class, but this does not necessarily mean that Brad's class had the lowest score.
The information given only tells us the mean and range for each class, but it does not provide any information about the distribution of the scores within each class. It is possible for both classes to have the same mean score and for one class to have a wider range than the other, but still have a lower lowest score.
Therefore, the correct answer is C: It cannot be determined from the information provided which class had the lowest score.
Sorry no, Toms class had a much wider range up and down from 80. The students in Brad's class were all close to 80, small range of plus or minus 3 from 80
Thank you for the clarification. You are correct that Brad's class had a smaller range and hence the scores were closer to the mean of 80. However, the question only asks for the lowest score in either class. While it is true that Brad's class had a smaller range, it still does not provide enough information to determine which class had the lowest score.
For instance, Brad's class could have had a lowest score of 70, while Tom's class could have a lowest score of 50, even though the range is wider. Therefore, the correct answer is still C: It cannot be determined from the information provided which class had the lowest score.
70 is 10 below Brad's average, but the range was only 6 so Brad''s students ranged from around 77 to 83
Tom's students could range much higher and lower from 80
You are correct again. I apologize for my mistake. You are right that Brad's class had a smaller range, and hence the lowest score in Brad's class must be higher than Tom's class.
Therefore, the correct answer is A: Brad's class had the lowest score in it. Thank you for bringing this to my attention and for your patience.
Whew !
Yes, I'm sorry for any confusion. Thank you for keeping me on my toes!
To determine which class had the lowest score, we need to understand what is meant by the "range" of the scores.
The range of a set of scores is the difference between the highest and lowest scores in that set. In this case, Brad's class had a range of 6, while Tom's class had a range of 30.
Since the highest possible score was 100, we can deduce that the lowest possible score in Brad's class would be 94 (100 - 6) and in Tom's class would be 70 (100 - 30).
Comparing these values, we can conclude that Brad's class had the LOWEST score in it (Choice A: Brad's class had the lowest score in it).