| The average of 18 observations is recorded as 124. Later it was found that two observations with values 64 and 28 were entered wrongs as 46 and 82. Find the correct average of the observations. [SSC (CGL) 2011] |
A) \[111\frac{7}{9}\]
B) \[122\]
C) \[123\]
D) \[137\frac{3}{9}\]
Correct Answer: B
Solution :
| Given, average of 18 observations = 124 |
| \[\therefore \] Sum of observations \[=124\times 18=2231\] |
| According to the question, |
| New average \[=\frac{2232-(46+82)+(64+28)}{18}\] |
| \[=\frac{2232-128+92}{18}\] |
| \[=\frac{2232-26}{18}=\frac{2196}{18}=122\] |
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