The average marks of 50 students in a class was found to be 64 . If the marks of two students were incorrectly entered as 38 and 42 instead of 83 and 24 , respectively, then what is the correct average?
Question
The average marks of 50 students in a class was found to be 64 . If the marks of two students were incorrectly entered as 38 and 42 instead of 83 and 24 , respectively, then what is the correct average?
Solution
Sure, here are the steps to solve the problem:
Step 1: Calculate the total marks of 50 students which is average times the number of students. So, 64 * 50 = 3200.
Step 2: Subtract the incorrect marks from the total. The incorrect marks are 38 and 42, so 3200 - 38 - 42 = 3120.
Step 3: Add the correct marks to the total. The correct marks are 83 and 24, so 3120 + 83 + 24 = 3227.
Step 4: Calculate the correct average by dividing the corrected total by the number of students. So, 3227 / 50 = 64.54.
So, the correct average is 64.54.
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