The average mark obtained by 40 students is 56. If the average marks of 8 students who failed the examination are 10, what are the average marks of students who passed the examination?
Question
The average mark obtained by 40 students is 56. If the average marks of 8 students who failed the examination are 10, what are the average marks of students who passed the examination?
Solution
Step 1: Calculate the total marks obtained by all 40 students. This can be done by multiplying the average mark by the total number of students. So, 56 * 40 = 2240.
Step 2: Calculate the total marks obtained by the 8 students who failed. This can be done by multiplying the average mark of the failed students by the number of failed students. So, 10 * 8 = 80.
Step 3: Subtract the total marks of the failed students from the total marks of all students to get the total marks of the students who passed. So, 2240 - 80 = 2160.
Step 4: Calculate the number of students who passed the exam. This can be done by subtracting the number of failed students from the total number of students. So, 40 - 8 = 32.
Step 5: Calculate the average mark of the students who passed. This can be done by dividing the total marks of the passed students by the number of passed students. So, 2160 / 32 = 67.5.
So, the average mark of the students who passed the examination is 67.5.
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