The mean mark obtained by 7 students in a group is 226. If the marks obtained by six of them are 340, 180, 260, 56, 275 and 307 respectively, find the marks obtained by the seventh student.

Given,


Mean marks of 7 students = 226


Total marks of 7 students = 7×226 = 1582


Total marks of 6 students = (340 + 180 + 260 + 56 + 275 + 307)


Marks of the 7th students = (total marks of 7 students) - (total marks of 6 students)


= 1582 – 1418 = 164


Hence the marks of the 7th student are 164.


1