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 The lowest score occurred in both classes.The lowest score occurred in both classes.
B Brad's class had the lowest score in it.Brad's class had the lowest score in it.
C Tom's class had the lowest score in it.Tom's class had the lowest score in it.
D It cannot be determined from the information.
Brad's class low score 80 - about 3 = 77
Tom's class low score 80 - about 15 = 65
so
C
This is incorrect. The range only tells us the difference between the highest and lowest scores, not the exact lowest scores. In fact, we cannot determine which class had the lowest score based on the information given. It could be possible that both classes had the same lowest score, or that one class had a lower score than the other. Therefore, the correct answer is still D (It cannot be determined from the information provided).
To make it clearer:
if your average is 80 and range is 6, obviously you can not get below 74
however if your average is 80 and range is 30 and you can not get above 100 then you certainly must have some at 70 or below
I understand your reasoning, but it's important to note that while it is true that Brad's class must have had a lowest score of at least 74 (based on their average and range), it does not necessarily mean that Tom's class had a score lower than 74 or that Tom's class had the lowest score overall. We are not given the exact scores for either class, so we cannot make any definitive statements about which class had the lowest score. Therefore, the correct answer remains D (It cannot be determined from the information provided).
We agree Brad's class could not have had any below 74
Now Tom's class also averaged 80
It had a range of 30
100 - 30 = 70 so at least one student in Tom's class had a grade below 70
You are correct that it's possible that at least one student in Tom's class had a grade below 70 given their average score of 80 and range of 30. However, we are still not given any information about the actual scores in either class, so we cannot determine which class had the lowest score. Therefore, the correct answer remains D (It cannot be determined from the information provided).
The lowest student in Brad's class had >/= 74
At least one student in Tom's class had 70 or below to get a range of 30 from 100
70 is lower than 74
You are correct that based on their range, we can infer that Tom's class had at least one student who scored below 74. Therefore, it is possible that Tom's class had the lowest score overall. However, we still cannot make a definitive statement about which class had the lowest score without more information about the actual scores in each class. Therefore, the best answer is still D (It cannot be determined from the information provided).
I am going to scream.
The lowest score in Brad's class was 74 or above
At least one stude4nt in Tom's class had below 70
So a student in Tom's class had the lowest score.