$($Statistics: compute deviation$)$ Exercise $5\mathrm{.}46$ computes the standard deviation of

numbers. This exercise uses a different but equivalent formula to compute the

standard deviation of n numbers.

To compute the standard deviation with this formula, you have to store the

individual numbers using a list, so that they can be used after the mean is

obtained.

Your program should contain the following functions:

# Compute the standard deviation of values

def deviation$($x$)$:

# Compute the mean of a list of values

def mean$($x$)$:

Write a test program that prompts the user to enter a list of numbers and displays

the mean and standard deviation, as shown in the following sample run: