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Question

In an experiment with 15 observations, the results are as follows:x2=2830, x=170. One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is
  1. 188.66
  2. 78.00    
  3. 177.33
  4. 8.33


Solution

The correct option is B 78.00    
n=15;x2=2830;x=170(x2) Corrected=2830(20)2+(30)2=3330(x) Corrected=17020+30=180σ2=333015(18015)2 σ2=x2n(xn)2=222144=78

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