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Sum of n Terms

Mean of 50 va...

Question

Mean of 50 values was calculated as 122 On checking it was discovered that observations 40, 50 and 60 were wrongly copied as 20, 25 and 55 The correct means is

A

172

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B

122

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C

123

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D

None of the above

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Solution

The correct option is B 123
Correct mean $= 122 + [(40 + 50 + 60) - (20 + 25 + 55)] / 50$
$= 122 + 1 = 123$

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