The mean of 25 observation is 40. Later on it was found that 13 and 21 were misread as 31 and 12. Find the correct mean.
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Correct option is
D
39.7
⇒ Given mean 100 observation =40
⇒ Sum of observations =100×40=4000
⇒ Given that one observation is misread as 83 instead of 53
⇒ Hence error in reading the observations =53−83=−30
⇒ Correct sum of observations =4000–30=3970
⇒ Correct mean =
100
3970
=39.7
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