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  • The mean of a set of 80 observations is 95. It was later discovered that two observations, 100 and 105, were incorrectly recorded as 80 and 85. What is the correct mean?  <div cl

The mean of a set of 80 observations is 95. It was later discovered that two observations, 100 and 105, were incorrectly recorded as 80 and 85. What is the correct mean?

 

Option: 1

94.6


Option: 2

95.2


Option: 3

95.7


Option: 4

96.4


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 80 observations is 95 \times 80 = 7600.

We need to subtract the incorrect values (80 and 85) and add the correct values (100 and 105) to the sum.

Corrected sum = (7600 - 80 - 85) + 100 + 105 = 7600 - 80 - 85 + 100 + 105 = 7740.

The correct mean is the corrected sum divided by the number of observations (80).

Corrected mean = 7740 / 80 = 96.75.

Therefore, the correct mean is approximately 96.75.

Among the given options,  95.7 is the closest to the correct mean.

 

Posted by

SANGALDEEP SINGH

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