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Question

The mean of 40 observations was 250. It was detected that the value of 150 was wrongly copied as 110. Find the correct mean ?



Correct Answer
A

251

Your Answer
B

400

Your Answer
C

125

Your Answer
D

the mean will be the same 


Solution

The correct option is C

251


¯x=x40 = 250
          
Hence x = 250 x 40 = 10,000

Incorrect Value of x = 10,000

Correct value of x = Incorrect Value of x - Incorrect Observation + Correct Observation 
= 10,000 - 110 + 150 
= 10,040

Correct Mean = correct value ofxn
=10,04040
= 251

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