Question: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 :
A `39`
B `39.7`
C `40.3`
D `42.7`
/54
+ Answer
B
+ ExplanationCorrect sum
`= (40 xx 100 + 53 - 83)`
`= 3970`.
:. Correct mean
`= 3970/100`
`= 39.7`