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  • The mean of a set of 60 observations is 50. It was later discovered that two observations, 55 and 57, were incorrectly recorded as 35 and 37. What is the correct mean?<s

The mean of a set of 60 observations is 50. It was later discovered that two observations, 55 and 57, were incorrectly recorded as 35 and 37. What is the correct mean?

Option: 1

48.7


Option: 2

49.2


Option: 3

49.8


Option: 4

50.4


Answers (1)

best_answer

To find the correct mean, we need to adjust the two incorrectly recorded observations and recalculate the mean.

The sum of the original 60 observations is 50 \times 60 = 3000.

We need to subtract the incorrect values (35 and 37) and add the correct values (55 and 57) to the sum.

Corrected sum = (3000 - 35 - 37) + 55 + 57 = 3000 - 35 - 37 + 55 + 57 = 3040.

The correct mean is the corrected sum divided by the number of observations (60).

Corrected mean = 3040 / 60 = 50.666666666666664.

Therefore, the correct mean is approximately 50.666666666666664.

Among the given options, 50.4 is the closest to the correct mean.

 

Posted by

shivangi.bhatnagar

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