2Q)For a set of n real numbers , here are a number of basic statistics we would like to know about the distribution of these numbers:

. The minimum value m = min .

. The maximum value M = max .

. The average value.

. The standard deviation .

Write a program stats.c that calculates these values for a sequence of values it reads from stdin.

The input is provided as a sequence of n + 1 numbers, each on a separate line. The first number is n. The remaining n numbers are . Your program may assume that . For two bonus marks, your code should be able to handle any value of n, even values greater than 1000.

For any given input, your program should print the output

m = . . .

M = . . .

a = . . .

s = . . .

to stdout, where the ... are to be replaced with the values of m, M, a, and s. Each output value should be represented with 3 digits after the decimal point.

To generate some test data for your program, you can use the genseq program you created earlier. The invocation . /genseq <> generates a sequence of n random numbers and prints n followed by these n random numbers to stdout. Using . /genseq > seq.txt<>, you can save this output in a file seq.txt. You can use this as the test input for your stats program by running . /stats . Add your file stats.c to SVN and commit it.

{ Xi ' . .. , Xn } { Xi ' . .. , Xn } { Xi ' . .. , Xn } , Xn n