If the variance of 3+x, 6, 4, x and 7-x is 4 and the mean is 5, find the standard deviation
A
\(\sqrt{3}\)
B
2
C
3
D
\(\sqrt{2}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Let \(\delta^2\) and \(\delta\) denote the variance and standard deviation of the distribution respectively.
But \(\delta^2\) = 4 (given)
Hence \(\delta\) = \(\sqrt{4}\) = 2
Source: Myschool Past Questions Archive (Record #27116)