the mean of marks obtained by 100 students is 60. if tha marks obtained by one of tha students was incorrectly calculated at 75. whereas tha actual marks obtained by him where 65. what is tha correct mean of the marks obtained by all students?
Answers
Mean marks = 60
Number of students = 100
We know that, Mean = Sum of observations/Number of observations
Mean marks = 60
Sum of marks of all students /Number of students = 60
Sum of marks of all students/100 = 60
Sum of marks of all students = 60 * 100
Sum of marks of all students = 6000
Incorrectly calculated marks of one student is 75 and the actual one is 65
So subtract 75 from sum of marks of all students and 65 simultaneously.
Sum of marks of all students = 6000 - 75 + 65 = 5990
Sum of marks of all students = 5990
Mean marks = Sum of marks of all students/Number of students
= 5990/100
= 599/10
= 59.9
Actual mean marks = 59.9
Therefore the correct mean of the marks obtained by all students is 59.9 .
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