Question
Average of 14 observations calculated by a student was
70 but when he again went through his observations he realised that he took value of three observations as 55, 63 and 51 in place of 74, 84 and 45 respectively and also realised that total observations taken by him was 13. Find the original average of all observations taken by him.Solution
Sum of 14 observations = 14 × 70 = 980 Original average = {980 + (74 + 84 + 45) - (55 + 63 + 51)}/13 = 1014/13 = 78
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