The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is?
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Step-by-step explanation:
=> Mean of 50 observations = 36
Sum of 50 observations = 36 x 50
Sum of 50 observations = 1800
since 48 was misread as 23
Then, sum of new observations =[1800 - (wrong observation)+(correct observation)]
= 1800 - 23 + 48
= 1800 + 15 = 1815
The correct mean = some of new observation/total number of observations
Correct mean= 1815/50 = 36.3
Hence, the correct mean is 36.3.
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