If a set of exam scores forms a symmetrical distribution, what can you conclude about the students scores?

• A. Most of the students had relatively high scores
• B. Most of the students had relatively low scores
• C. About 50% had high scores and the rest low
• D. It is not possible to draw any conclusions about students' scores

Answer: (C)

Symmetry means the scores are balanced around a central value, so the data split into two roughly equal halves. In a symmetric distribution, about half of the scores lie above the center (higher scores) and about half lie below it (lower scores). This makes it reasonable to say that about 50% had high scores and the rest had low scores. There isn’t a leaning toward mostly high or mostly low, and you can’t draw conclusions beyond this balanced split around the center.