In a class of 51 students, the difference between the highest marks and the least marks is 70. If the average score is
calculated without considering the student who got the highest marks then the average score decreases by 1%. If the
average score is calculated without considering the student who got the least marks then the average score increases
by 1 1/3%. What is the original average score of the class?
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27
Answer:
Let the average mark be x.
Total marks = 51x
50 * 0.99x = 51x - max
50 * 1.0133x = 51x - min
Subtracting last two,
50* 0.0233x = max - min = 70,
x = 60
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