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  • The mean of a set of 100 observations is 45. It was later discovered that two observations, 19 and 31, were incorrectly recorded as 91 and 13. What is the correct mean?  <div cla

The mean of a set of 100 observations is 45. It was later discovered that two observations, 19 and 31, were incorrectly recorded as 91 and 13. What is the correct mean?

 

Option: 1

43.8


Option: 2

44.4


Option: 3

44.6


Option: 4

46.2


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 100 observations is 45 \times 100= 4500.

We need to subtract the incorrect values (91 and 13) and add the correct values (19 and 31) to the sum.

Corrected sum = (4500 - 91 - 13) + 19 + 31 = 4500 - 91 - 13 + 19 + 31 = 4446.

The correct mean is the corrected sum divided by the number of observations (100).

Corrected mean = 4446 / 100 = 44.46.

Therefore, the correct mean is approximately 44.46.

 

Posted by

manish painkra

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