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The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:
51.4
52.6
56.1
55.3
Let the required mean score be a Then, 20 x 80 + 25 x 31 + 55 x a = 52 x 100 1600 + 775 + 55a = 5200 55a = 2825 a = 51.4
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