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Question
Mrs. Myles gave the same test to both her first and third period class. In first period, the median was 75 and the range was 30. In third period, the median was 80 and the range was 60. Which is a true statement? [Assume that scores can reach a maximum of 100.]
Responses
A There is not enough information to know if any of these is true.There is not enough information to know if any of these is true.
B On average, first period did better than third period.On average, first period did better than third period.
C The lowest score was in third period.The lowest score was in third period.
D The highest score was in first period.The highest score was in first period.
D The highest score was in first period.
how is first period scores highter than third period, when third period median was 80
The question does not ask which class had a higher median score. It asks which statement is true based on the information provided about the median and range in each class.
The median and range only provide information about the middle and spread of the scores, respectively. They do not give information about the highest or lowest scores. Therefore, it is possible for the highest score to be in first period (as stated in option D) even if the median score in third period was higher.
oh ok. thanks
You're welcome! Let me know if you have any other questions.
To determine the correct answer, we need to understand the concepts of median and range.
The median is the middle value in a set of data when the data is arranged in ascending or descending order. It represents the middle score that separates the higher and lower scores.
The range is the difference between the highest and lowest values in a set of data. It measures the spread or variability of the scores.
Let's analyze the given information.
In first period, the median was 75, which means that there are an equal number of scores below and above 75 when the scores are arranged in order.
The range was 30, indicating that the difference between the highest and lowest scores in this period is 30.
In third period, the median was 80. This indicates that there are an equal number of scores below and above 80 when the scores are arranged in order.
The range was 60, which means that the difference between the highest and lowest scores in this period is 60.
Now that we understand the concepts, let's evaluate the statements:
A) There is not enough information to know if any of these is true - This statement cannot be determined based on the given information.
B) On average, first period did better than third period - This statement cannot be determined based on the given information. The average (mean) score is not given.
C) The lowest score was in third period - This statement is not necessarily true. The range does not provide information about the exact lowest score. It only tells us the difference between the highest and lowest scores.
D) The highest score was in first period - This statement is also not necessarily true. The range does not provide information about the exact highest score. It only tells us the difference between the highest and lowest scores.
Therefore, the correct answer is A - There is not enough information to know if any of these is true.