Consider the distribution of mathematics SAT scores of students in honors calculus at a liberal arts college. What would you expect the shape and variation of the distribution to be?
A. Symmetric with little variation
B. Symmetric with large variation
C. Skewed right with large variation
D. Skewed left with little variation Reset Selection
Answer: B
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To determine the expected shape and variation of the distribution of mathematics SAT scores of students in honors calculus at a liberal arts college, we need to consider the characteristics of the data.
Since the students are in honors calculus, it is reasonable to assume that they have a strong mathematical background and a higher likelihood of performing well on the mathematics SAT. Therefore, we can expect the distribution to be skewed towards higher scores.
However, the variation in the scores depends on the abilities and preparation of the students. In honors calculus, there can be a wide range of abilities and backgrounds, leading to a higher variation in scores.
Considering these factors, the most appropriate answer would be B. Symmetric with large variation. This means that the distribution of scores would still be centered at higher scores but would have a wider spread or variation among the scores.