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The mean of 20 observations is 12.5. By error, one observation was noted as –15 instead of 15. Then the correct mean is _____. 
  • a)
    11.75
  • b)
    11
  • c)
    14
  • d)
    13
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The mean of 20 observations is 12.5. Byerror, one observation was note...
The incorrect sum of observations = 12.5 x 20 = 250
Now, correct sum = 250 - (-15) + 15 = 280
∴ Correct mean = 280/20 = 14
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Community Answer
The mean of 20 observations is 12.5. Byerror, one observation was note...

Calculation of Correct Mean:

- Given Mean of 20 observations = 12.5
- One observation was noted incorrectly as -15 instead of 15
- Actual value of observation = 15
- Incorrect value noted = -15

Find the total of all observations:

- Total of 20 observations = 20 x 12.5 = 250

Find the total after correcting the error:

- Total after replacing -15 with 15 = 250 - (-15) + 15 = 250 + 15 + 15 = 280

Calculate the correct mean:

- Correct mean = Total / Number of observations
- Correct mean = 280 / 20 = 14

Therefore, the correct mean of the 20 observations is 14. So, the correct answer is option 'C' which is 14.
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The mean of 20 observations is 12.5. Byerror, one observation was noted as –15 instead of 15. Then the correct mean is _____.a)11.75b)11c)14d)13Correct answer is option 'C'. Can you explain this answer?
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