The average of 100 numbers is 40. Of these number is 53 read mistakenly as 83. What is the actual average?
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Answer:
Mean of 100 observations = 40
Sum of 100 observations = 40×100 = 4000
After replacing the misread observation 83 to 53,
Sum of 100 observations = 4000−83+53 = 3970
New mean = 1003970 = 39.70
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Total sum= 40*100=4000
New sum= 4000-53+83= 4040
Mean= 4040/100=40.40
New sum= 4000-53+83= 4040
Mean= 4040/100=40.40
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