mean of 9 observations was found to be 35 later on it was detected that an observation 81 was misread as 18 then find out the correct mean of the observation
Answers
Answer:
Step-by-step explanation:
=> Mean of 9 observations = 35
=> Sum of 9 observations = 35×9
=> Sum of 9 observations =315
• since 81 was misread as 18
Then, sum of new observations = [315- (wrong observation)+(correct observation)]
= 315-18+81
= 315+63= 378
The correct mean = some of new observation/total number of observations
Correct mean= 378/9= 42
Hence, the correct mean is 42
Step-by-step explanation:
SUM OF 9 OBSERVATIONS=35×9=315
CORRECT SUM OF 9 OBSERVATIONS =315+(81-18)
=315+63
=378
CORRECT MEAN=378/9=42
SUM OF NINE NUMBERS=26×9=234
SUM OF EIGHT NUMBERS=27×8=216
THE INCLUDED NUMBER=234-216=18
SO THE CORRECT MEAN OF OBS=18
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