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Question
The mean of 15 observations is 40. It was detected that one observation 47 was misread as 77. Find the correct mean.
Sum
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Solution
Given: The mean of 15 observations is 40 and one observation 47 was misread as 77.
Step-wise calculation:
1. Original (erroneous) total
= 15 × 40
= 600
2. The recorded data includes 77 instead of the true 47.
So, correct total
= 600 – 77 + 47
= 600 – 30
= 570
3. Correct mean
= 570 ÷ 15
= 38
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