Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The mean and standard deviation of 20 observations were calculated as 10 and respectively. It was found that by mistake one data value was taken as 25 instead of 35. If 
and 
are the mean and standard deviation respectively for correct data, then 
is:
Text Solution
Verified by ExpertsThe correct answer is:
D
Given:
Mean 
or 
(incorrect)
or 200 − 25 + 35 = 210 = Σx i (Correct)
Now correct 
again given S.D = 2.5(σ)
or 
(incorrect)
or 
=2725 (Correct)
correct 
σ 2 = 26
or σ=26
∴ α = 10.5, β = 26
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