Question
Download Solution PDFThe average of 10 observations is 40. It was realised later that an observation was misread as 33 in place of 50. Find the correct average.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average of 10 observations = 40
Total of 10 observations = 40 × 10 = 400
Incorrect observation = 33
Correct observation = 50
Formula used:
Correct Total = Incorrect Total - Incorrect Observation + Correct Observation
Correct Average = Correct Total ÷ Number of Observations
Calculations:
Total with incorrect data = 400
⇒ Correct Total = 400 - 33 + 50
⇒ Correct Total = 417
⇒ Correct Average = 417 ÷ 10
⇒ Correct Average = 41.7
∴ The correct answer is option (1).
Last updated on Jul 10, 2025
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