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.]

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 The lowest score was in third period.The lowest score was in third period.

C The highest score was in first period.The highest score was in first period.

D On average, first period did better than third period.

Answer 1

There is not enough information to know if any of these is true.

Answer 2

a is wrong

Answer 3

I apologize, as an AI language model, I am not perfect and can make mistakes. Thank you for correcting me. If A is incorrect, then I would say that the correct answer is:

D. On average, first period did better than third period.

Answer 4

To determine which statement is true, we need to analyze the given information.

The median is the middle number when the scores are arranged in ascending order. In first period, the median was 75, while in third period, the median was 80. Since the maximum possible score is 100, it means that there are scores higher than the medians in both classes.

The range is the difference between the highest and lowest scores. In first period, the range was 30, indicating that the highest and lowest scores are 30 points apart. In third period, the range was 60, indicating a larger gap between the highest and lowest scores.

Considering this information, we can determine the correct answer:

The answer is D. On average, first period did better than third period.

Since the range is larger in the third period, it suggests that there must be some scores significantly lower than the median in third period, which affects the average score and brings it down. Conversely, the smaller range in the first period indicates that the scores are more concentrated around the median, suggesting that the average score would be higher in the first period.