The average marks of 14 students was calculated as 71 But it was later found that the marks of ...........

Quantitative Aptitude (CGL) Average

The average marks of 14 students was calculated as 71. But, it was later found that the marks of one student had been wrongly entered as 42 instead of 56 and of another as 74 instead of 32. The correct average is:

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Explanation:

Marks obtained by 14 students
= 14 × 71 = 994
Exact marks of 14 students
= 994 + {(56 – 42) + (32 – 74)}
= 994 + {14 + (–42)} = 994 + {–28}
= 994 – 28 = 966
∴ Correct average = 966/14 = 69.