Fleming Lawson
06/06/2023 · Junior High School

A teacher returns an exam with possible scores ranging from 0 to 100 . The students suspect that the majority of them performed poorly on the exam and request summary statistics. The teacher provides the mean, which was 72 , as a summary statistic. A total of 400 students took the exam. Some of the students find the mean to be high, based on talking to other students. They take a random sample of 15 students, and they find that the mean equals 71.5 while the median equals 62 . Based on this result, we conclude that: All of the answer options are correct. there are possibly some large outliers in these data. \( 50 \% \) of the students barely managed to pass the exam. exam scores are likely right-skewed.

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The mean score of the entire class is 72, but the sample mean is 71.5 with a median of 62. This suggests the presence of outliers and a right-skewed distribution, indicating that some students performed poorly.

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