The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking. <img src="https://gradeup-question-images.grdp.co/liveData/PROJ7275/1503575153282646.png" width="399" height="194" style="line-height: 1.4; border-style: none; max-width: 100%; position: relative; overflow: hidden; vertical-align: middle;" alt="" /> What is the average of the marks obtained by the class in the examination?

GATE : General Aptitude

The number of students in a class who have answered correctly,

wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking.

What is the average of the marks obtained by the class in the examination?

A. 2.290

B. 2.970

C. 6.795

D. 8.795

Solution

C. 6.795

Explanation

There are total 44 students. This count can be obtained by adding last 3 entries of any row of given total. Total marks = 2*21 + 3*15 + 1*11 + 2*23 + 5*31 = 299 Average marks = 299/44 = 6.795