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The mean of 100 observations was calculated as 40. It was found later on that one of the observ

The mean of 100 observations was calculated as 40. It was found later on that one of the observations was misread as 83 instead of 53. The correct mean is:

  • Option 1)

    39

  • Option 2)

    39.7

  • Option 3)

    40.3

  • Option 4)

    37

  • Option 5)

    42.7

Answers (1)
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Sum \: of \: 100\: observations = 100*40=4000
53 \: misread \: as \: 83
So \: 30 \: more
New \: sum = 4000-30 = 3970
Avg. = \frac{3970 }{100}= 39.7

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