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The average of marks of 14 student 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 :  (1) 67 (2) 68 (3) 69 (4) 71

Solution:

According to the question,

Total marks = 71* 14= 994

Correct total marks

= 994+(56-42) + (32-74)

= 994+14-42 = 966

Required average = 966/14 = 69

Then the option is (3) 69

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