Problem $5($

Standard Deviation

$)$

In business applications, you are often asked to compute the

mean

and

standard deviation

of data. The mean is simply the average of the numbers and the standard deviation is a

$3$

statistic that tells you how tightly all the various data are clustered around the mean in a

set of data. For example, what is the average age of the students in a class? How close are

the ages? If all the students are the same age, the deviation is $0.$

Write a program called

stddev.cpp

that allows users to enter

N

numbers $($float$)$ from

keyboard. Calculate and display the mean and standard deviation of those numbers. Your

program should report the message

$$Invalid value of N$$

if

N

$$

$0$

Given the following fomulars:

mean

$=$

$1$

N

N

X

i

$=1$

x

i

$=$

x

$1$

$+$

x

$2$

$+$

$$

$+$

x

N

N

deviation

$=$

s

P

N

i

$=1$

$($

x

i

$$

mean

$)$

$2$

N

$$

$1$

$/$workspace$/$csc$117/$hw$7$

$\%$ g$++-$o out$/$stddev$.$out src$/$stddev$.$cpp

$\%./$out$/$stddev$.$out

Enter the value of N: $-4$

Enter $10$ numbers: $1\mathrm{.}92\mathrm{.}53\mathrm{.}72163452$

The mean is $3\mathrm{.}11$

The standard deviation is $1\mathrm{.}55738$

$\%./$out$/$stddev$.$out

Enter the value of N: $-4$

Invalid value of