The average marks of 60 students of a class were found to be 64. Later, it was found that marks of two students were wrongly read as 42 and 28 in place of 24 and 76 respectively. Then what is the correct average marks?

The average marks of 60 students of a class were found to be 64. Later, it was found that marks of two students were wrongly read as 42 and 28 in place of 24 and 76 respectively. Then what is the correct average marks? Correct Answer 64.5

Given:

Initially, average marks of 60 students = 64

Two marks were read wrongly as 42 and 28 instead of 24 and 76

Formula used:

Average of n numbers = Sum of all the numbers/n

Calculation:

Total marks of all students initially = 64 × 60 = 3840

Change in marks after correction = (24 + 76) - (42 + 28) = 30

Total correct marks = 3840 + 30 = 3870

∴ Correct average = 3870/60 = 64.5

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.