Question
Download Solution PDFA tabulator while calculating the average marks of 100 students in an examination, by mistake enters 6.8, instead of 8.6 and obtains the average as 5.8. Then the actual average marks of those students is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A tabulator while calculating the average marks of 100 students in an examination, by mistake enters 6.8, instead of 8.6 and obtains the average as 5.8.
Formula used:
Actual Average = (Incorrect Total Marks - Incorrect Entry + Correct Entry) / Total Students
Calculation:
Incorrect Average = 5.8
Incorrect Entry = 6.8
Correct Entry = 8.6
Total Students = 100
Incorrect Total Marks = Incorrect Average × Total Students
⇒ Incorrect Total Marks = 5.8 × 100
⇒ Incorrect Total Marks = 580
Correct Total Marks = Incorrect Total Marks - Incorrect Entry + Correct Entry
⇒ Correct Total Marks = 580 - 6.8 + 8.6
⇒ Correct Total Marks = 581.8
Actual Average = Correct Total Marks / Total Students
⇒ Actual Average = 581.8 / 100
⇒ Actual Average = 5.818
∴ The correct answer is option (3).
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