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Question
The mean of 20 observations is 32. It was detected that one observation 43 was wrongly copied as 33. Find the correct mean.
Sum
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Solution
Given: Mean of 20 observations = 32; one observation 43 was wrongly copied as 33.
Step-wise calculation:
1. Total (incorrect) sum
= 20 × 32
= 640
2. Correct sum
= 640 – 33 + 43
= 650
3. Correct mean
= 650 ÷ 20
= 32.5
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