The mean of 8 observation was found to be 20. Later it was detected that one of the observation was misread as 62. What is the correct observation if the correct mean is 15.5?
A
26
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B
28
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C
30
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D
29
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Solution
The correct option is A 26 Given, average of 8 observation =20 Sumof8observations8=20 => Sum of 8 observations =20×8=160 Let the correct observation be x Then, Sum of 8 observations =160−62+x=98+x Given correct mean =15.5 98+x8=15.5 =>98+x=124 =>x=26 So, correct observation =26