An exam is given to students in an introductory statistics course. What is likely to be true of the shape of the histogram ofscores if:a. the exam is quite easy/.7b. the exam is quite difﬁcult? c half the students in the class have had calculus, the other half have had no prior college math courses, and the examemphasizes mathematical manipulation? Explain your reasoning in each case.

Question

Grace Clements

Mathematics

25 August, 21:33

An exam is given to students in an introductory statistics course. What is likely to be true of the shape of the histogram ofscores if:a. the exam is quite easy/.7b. the exam is quite difﬁcult? c half the students in the class have had calculus, the other half have had no prior college math courses, and the examemphasizes mathematical manipulation? Explain your reasoning in each case.

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Elise Mcdaniel · Answer 1

a. negatively skewed

b. positively skewed

c. bimodal

Step-by-step explanation:

a. If the exam is quite easy, it is expected that the majority of the students score well on the test, and since most of the data is in closer to the maximum value rather than the minimum, the histogram has negatively skewed shape.

b. If the exam is quite hard, it is expected that the majority of the students score poorly on the test, and since most of the data is in closer to the minimum value rather than the maximum, the histogram has positively skewed shape.

c. If half of the students are expected to do well and half are expected to do poorly, it is fair to assume a near bell-shaped distribution, which results in a bimodal histogram.