Module: Tasks for using the while loop


Problem

9 /9


Standard deviation

Problem

Given a sequence of natural numbers \(x_1, x_2, ..., x_n\)Standard deviation is called value

\(\sigma = \sqrt{\frac{(x_1-s)^2+(x_2-s)^2+\ ldots+(x_n-s)^2}{n-1}}\),

where \(s=\frac{x_1+x_2+\ldots+x_n}{n}\) — arithmetic mean of a sequence.

Determine the standard deviation for the given sequence of natural numbers ending in 0.

Input 
A sequence of natural numbers is entered, ending with the number 0 (the number 0 itself is not included in the sequence, but serves as a sign of its termination).

Imprint 
Print the answer to the problem.
 

 

Examples
# Input Output
1 1
7
9
0
4.16333199893