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Question : The mean of 20 observations was 42. It was found later that observation 54 was wrongly taken as 45. The corrected new mean is:

Option 1: 45.42

Option 2: 43.5

Option 3: 44.25

Option 4: 42.45


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 42.45


Solution : The mean of 20 initial observations = 42
Sum of initial observations = 42 × 20 = 840
Wrong entry = 45
Correct entry = 54
Sum after correction = 840 – 45 + 54 = 849
$\therefore$ Final mean = $\frac{849}{20}$ = 42.45
Hence, the correct answer is 42.45.

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