A teacher returns an exam with possible scores ranging from 0 to 100. The studen

Question

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: O None of the answer options is correct. 0 the mean will be off center in the boxplot and above the median. O the mean will be in the center of the boxplot. O the boxplot is most likely symmetric about the mean.

Explanation / Answer

Since, the mean is greater than median value, (i.e. 71.5 > 62)

When mean is greater than median, the data is positively skewed.

We conclude that :

the mean will be off center in the boxplot and above the median

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