Maths Olympiad Prep

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, 2004

Algebra Difficulty 1.0 Junior Find the answer Canada

The scores of eight students on a quiz are 6,7,7,8,8,8,96, 7, 7, 8, 8, 8, 9, and 1010. Which score should be removed to leave seven scores with the same mode and range as the original eight scores, but with a higher average (mean)?

(A) 66 (B) 77 (C) 88 (D) 99 (E) 1010

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.