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Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

Five students wrote a quiz with a maximum score of 50. The scores of four of the students were 42, 43, 46, and 49. The score of the fifth student was $N$ . The average (mean) of the five students' scores was the same as the median of the five students' scores. The number of values of $N$ which are possible is

(A) $3$ (B) $4$ (C) $1$ (D) $0$ (E) $2$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.