The average of 6 numbers is evaluated as 57.But while summing up of the numbers a number is wrongly taken as 64 instead of 46.What should be the correct number?
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Answer:
Correct average = 54
Step-by-step explanation:
Average of 6 numbers A = 57
∴ Sum of the numbers = Average × Total numbers
∴ Sum of teh number S = 57 × 6
∴ S = 342 ....(1)
One number was taken wrongly as64 instead of 46.
Thus total sum of all number will change to
New sum Sn = Old Sum - Wrong number + correct number
∴ Sn = 342 - 64 + 46
∴ Sn = 324
Correct average = Correct sum ÷ total number
∴ Correctaverage = 324 / 6
∴ Correct average = 54
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