Question

The mean of 20 Observations was 40. It was found later that an observation 53 was wrongly taken as 83. The corrected new mean is *


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Answer 1

Answer:

Mean = Sum

$mean \: = \frac{sum}{20 } \\ 40 = \frac{sum}{20} \\ 40 \times 20 = sum \\ sum = 800 \\ corrected \: sum \: = 800 - 83 + 53 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 800 - 30 = 770 \\ new \: mean = \frac{770}{20} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 38.5$

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