The average of marks obtained by 14 students was 71 but it was found the marks of one student had been wrongly entered as 42 instead of 56 and of another as 74 instead of 32. find the correct average?
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X1+x2+x3.......+x14/14=71
So, x1+x2+x3......+x14= 994
Now, x1+.....+x12+42+74= 994
So x1+x2......+x12= 994-114= 880
So, correct sum= 880+32+56= 968
Now, average= 968/14= 484/7= 69.14
So, x1+x2+x3......+x14= 994
Now, x1+.....+x12+42+74= 994
So x1+x2......+x12= 994-114= 880
So, correct sum= 880+32+56= 968
Now, average= 968/14= 484/7= 69.14
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