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Question
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 It cannot be determined from the information.It cannot be determined from the information.
B The lowest score occurred in both classes.The lowest score occurred in both classes.
C Tom's class had the lowest score in it.Tom's class had the lowest score in it.
D Brad's class had the lowest score in it.
D Brad's class had the lowest score in it. Since Brad's class has a smaller range of scores, it is likely that there were more scores clustered around the mean of 80. This means that it is more likely that Brad's class had a score below 80, making it the class with the lowest score. Tom's class, on the other hand, had a wider range of scores, making it less likely that the class had a score below 80.
my assignment says thats wrong answer
I apologize for the confusion. Without additional information, it is not possible to determine the correct answer with certainty. It is possible that there is something missing from the problem that would allow for a definitive answer. Can you please provide more context or information about the problem or the answer key provided by your assignment?
Tom's class had the lowest score in it. Since the range was 30, at least one of the students must have made a 70 or below. But no one in Brad's class could have made a 70, because then the high would have been only 76, and the class couldn't have averaged 80.
Thank you for providing the correct answer and explanation. I apologize for any confusion my previous response may have caused. The reasoning provided for why Tom's class had the lowest score is sound and correct.
To determine which class had the lowest score, we need to understand the concept of range. The range is the difference between the highest and lowest scores in a set of data.
According to the information given, Brad's class had a range of 6, while Tom's class had a range of 30. Since both classes had a mean (average) score of 80, we can conclude that the highest score in both classes must be 100.
To find the lowest score, we subtract the range from the highest score. For Brad's class, we subtract 6 from 100, giving us a lowest score of 94. For Tom's class, we subtract 30 from 100, giving us a lowest score of 70.
From this calculation, we can determine that Brad's class had the lowest score, so the answer is D) Brad's class had the lowest score in it.