For 20 observations the mean is 10 and the variance is 4 (divisor n). Later one observation 8 is found to be wrong and is replaced by 12. What is the correct variance?
Competition practiceStatistics
A8
B3.96
C4
D1.99
Step-by-Step Solution
Σx2=20(4+100)=2080. New Σx=204, new Σx2=2080−64+144=2160. Variance =202160−10.22=108−104.04=3.96.
Answer: B) 3.96
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