Exam results for 100 students are given below. For the given exam grades, briefly describe the shape and variation of the distribution. median \( =78 \), mean \( =79 \), low score \( =65 \), high score \( =87 \) The distribution is right-skewed and has moderate
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the interquartile range, indicating that most students performed well, but there are some lower scores pulling the median down relative to the mean. This suggests that while many students scored in the upper range, a few performed considerably worse, thus affecting the overall average and creating that right-skewed appearance. To get a clearer picture, consider plotting a histogram of the scores. You'll likely see a peak around the higher grades, tapering off towards the lower scores. This visualization will help you grasp not just the central tendency but also how scores are spread out, highlighting the performance distribution and areas for potential improvement among those scoring lower.
